1: Average symbolic conclusion length is 21/1 ≈ 21.00. (Median: 21) There are 0 minimal D-proofs with conclusions of even symbolic length, and there is 1 minimal D-proof with a conclusion of odd symbolic length. [0/1 ≈ 0.00% even] 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 10 0 11 0 12 0 13 0 14 0 15 0 16 0 17 0 18 0 19 0 20 0 21 1 3: Average symbolic conclusion length is 37/1 ≈ 37.00. (Median: 37) There are 0 minimal D-proofs with conclusions of even symbolic length, and there is 1 minimal D-proof with a conclusion of odd symbolic length. [0/1 ≈ 0.00% even] 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 10 0 11 0 12 0 13 0 14 0 15 0 16 0 17 0 18 0 19 0 20 0 21 0 22 0 23 0 24 0 25 0 26 0 27 0 28 0 29 0 30 0 31 0 32 0 33 0 34 0 35 0 36 0 37 1 5: Average symbolic conclusion length is 81/1 ≈ 81.00. (Median: 81) There are 0 minimal D-proofs with conclusions of even symbolic length, and there is 1 minimal D-proof with a conclusion of odd symbolic length. [0/1 ≈ 0.00% even] 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 10 0 11 0 12 0 13 0 14 0 15 0 16 0 17 0 18 0 19 0 20 0 21 0 22 0 23 0 24 0 25 0 26 0 27 0 28 0 29 0 30 0 31 0 32 0 33 0 34 0 35 0 36 0 37 0 38 0 39 0 40 0 41 0 42 0 43 0 44 0 45 0 46 0 47 0 48 0 49 0 50 0 51 0 52 0 53 0 54 0 55 0 56 0 57 0 58 0 59 0 60 0 61 0 62 0 63 0 64 0 65 0 66 0 67 0 68 0 69 0 70 0 71 0 72 0 73 0 74 0 75 0 76 0 77 0 78 0 79 0 80 0 81 1 7: Average symbolic conclusion length is 188/2 ≈ 94.00. (Median: 94.00) There are 0 minimal D-proofs with conclusions of even symbolic length, and there are 2 minimal D-proofs with conclusions of odd symbolic length. [0/2 ≈ 0.00% even] 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 10 0 11 0 12 0 13 0 14 0 15 0 16 0 17 0 18 0 19 0 20 0 21 0 22 0 23 0 24 0 25 0 26 0 27 0 28 0 29 0 30 0 31 0 32 0 33 0 34 0 35 0 36 0 37 0 38 0 39 0 40 0 41 0 42 0 43 0 44 0 45 0 46 0 47 1 48 0 49 0 50 0 51 0 52 0 53 0 54 0 55 0 56 0 57 0 58 0 59 0 60 0 61 0 62 0 63 0 64 0 65 0 66 0 67 0 68 0 69 0 70 0 71 0 72 0 73 0 74 0 75 0 76 0 77 0 78 0 79 0 80 0 81 0 82 0 83 0 84 0 85 0 86 0 87 0 88 0 89 0 90 0 91 0 92 0 93 0 94 0 95 0 96 0 97 0 98 0 99 0 100 0 101 0 102 0 103 0 104 0 105 0 106 0 107 0 108 0 109 0 110 0 111 0 112 0 113 0 114 0 115 0 116 0 117 0 118 0 119 0 120 0 121 0 122 0 123 0 124 0 125 0 126 0 127 0 128 0 129 0 130 0 131 0 132 0 133 0 134 0 135 0 136 0 137 0 138 0 139 0 140 0 141 1 9: Average symbolic conclusion length is 386/4 ≈ 96.50. (Median: 58.00) There are 0 minimal D-proofs with conclusions of even symbolic length, and there are 4 minimal D-proofs with conclusions of odd symbolic length. [0/4 ≈ 0.00% even] 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 10 0 11 0 12 0 13 0 14 0 15 0 16 0 17 0 18 0 19 0 20 0 21 0 22 0 23 0 24 0 25 1 26 0 27 0 28 0 29 0 30 0 31 0 32 0 33 0 34 0 35 0 36 0 37 0 38 0 39 0 40 0 41 0 42 0 43 0 44 0 45 0 46 0 47 0 48 0 49 0 50 0 51 0 52 0 53 1 54 0 55 0 56 0 57 0 58 0 59 0 60 0 61 0 62 0 63 1 64 0 65 0 66 0 67 0 68 0 69 0 70 0 71 0 72 0 73 0 74 0 75 0 76 0 77 0 78 0 79 0 80 0 81 0 82 0 83 0 84 0 85 0 86 0 87 0 88 0 89 0 90 0 91 0 92 0 93 0 94 0 95 0 96 0 97 0 98 0 99 0 100 0 101 0 102 0 103 0 104 0 105 0 106 0 107 0 108 0 109 0 110 0 111 0 112 0 113 0 114 0 115 0 116 0 117 0 118 0 119 0 120 0 121 0 122 0 123 0 124 0 125 0 126 0 127 0 128 0 129 0 130 0 131 0 132 0 133 0 134 0 135 0 136 0 137 0 138 0 139 0 140 0 141 0 142 0 143 0 144 0 145 0 146 0 147 0 148 0 149 0 150 0 151 0 152 0 153 0 154 0 155 0 156 0 157 0 158 0 159 0 160 0 161 0 162 0 163 0 164 0 165 0 166 0 167 0 168 0 169 0 170 0 171 0 172 0 173 0 174 0 175 0 176 0 177 0 178 0 179 0 180 0 181 0 182 0 183 0 184 0 185 0 186 0 187 0 188 0 189 0 190 0 191 0 192 0 193 0 194 0 195 0 196 0 197 0 198 0 199 0 200 0 201 0 202 0 203 0 204 0 205 0 206 0 207 0 208 0 209 0 210 0 211 0 212 0 213 0 214 0 215 0 216 0 217 0 218 0 219 0 220 0 221 0 222 0 223 0 224 0 225 0 226 0 227 0 228 0 229 0 230 0 231 0 232 0 233 0 234 0 235 0 236 0 237 0 238 0 239 0 240 0 241 0 242 0 243 0 244 0 245 1 11: Average symbolic conclusion length is 951/7 ≈ 135.86. (Median: 97) There are 0 minimal D-proofs with conclusions of even symbolic length, and there are 7 minimal D-proofs with conclusions of odd symbolic length. [0/7 ≈ 0.00% even] 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 10 0 11 0 12 0 13 0 14 0 15 0 16 0 17 0 18 0 19 0 20 0 21 0 22 0 23 0 24 0 25 0 26 0 27 0 28 0 29 0 30 0 31 0 32 0 33 0 34 0 35 0 36 0 37 0 38 0 39 0 40 0 41 1 42 0 43 0 44 0 45 0 46 0 47 0 48 0 49 0 50 0 51 0 52 0 53 0 54 0 55 0 56 0 57 1 58 0 59 0 60 0 61 0 62 0 63 0 64 0 65 0 66 0 67 0 68 0 69 0 70 0 71 0 72 0 73 0 74 0 75 0 76 0 77 0 78 0 79 0 80 0 81 0 82 0 83 0 84 0 85 0 86 0 87 0 88 0 89 1 90 0 91 0 92 0 93 0 94 0 95 0 96 0 97 1 98 0 99 0 100 0 101 0 102 0 103 0 104 0 105 0 106 0 107 0 108 0 109 0 110 0 111 0 112 0 113 0 114 0 115 0 116 0 117 0 118 0 119 0 120 0 121 0 122 0 123 0 124 0 125 1 126 0 127 0 128 0 129 0 130 0 131 0 132 0 133 1 134 0 135 0 136 0 137 0 138 0 139 0 140 0 141 0 142 0 143 0 144 0 145 0 146 0 147 0 148 0 149 0 150 0 151 0 152 0 153 0 154 0 155 0 156 0 157 0 158 0 159 0 160 0 161 0 162 0 163 0 164 0 165 0 166 0 167 0 168 0 169 0 170 0 171 0 172 0 173 0 174 0 175 0 176 0 177 0 178 0 179 0 180 0 181 0 182 0 183 0 184 0 185 0 186 0 187 0 188 0 189 0 190 0 191 0 192 0 193 0 194 0 195 0 196 0 197 0 198 0 199 0 200 0 201 0 202 0 203 0 204 0 205 0 206 0 207 0 208 0 209 0 210 0 211 0 212 0 213 0 214 0 215 0 216 0 217 0 218 0 219 0 220 0 221 0 222 0 223 0 224 0 225 0 226 0 227 0 228 0 229 0 230 0 231 0 232 0 233 0 234 0 235 0 236 0 237 0 238 0 239 0 240 0 241 0 242 0 243 0 244 0 245 0 246 0 247 0 248 0 249 0 250 0 251 0 252 0 253 0 254 0 255 0 256 0 257 0 258 0 259 0 260 0 261 0 262 0 263 0 264 0 265 0 266 0 267 0 268 0 269 0 270 0 271 0 272 0 273 0 274 0 275 0 276 0 277 0 278 0 279 0 280 0 281 0 282 0 283 0 284 0 285 0 286 0 287 0 288 0 289 0 290 0 291 0 292 0 293 0 294 0 295 0 296 0 297 0 298 0 299 0 300 0 301 0 302 0 303 0 304 0 305 0 306 0 307 0 308 0 309 0 310 0 311 0 312 0 313 0 314 0 315 0 316 0 317 0 318 0 319 0 320 0 321 0 322 0 323 0 324 0 325 0 326 0 327 0 328 0 329 0 330 0 331 0 332 0 333 0 334 0 335 0 336 0 337 0 338 0 339 0 340 0 341 0 342 0 343 0 344 0 345 0 346 0 347 0 348 0 349 0 350 0 351 0 352 0 353 0 354 0 355 0 356 0 357 0 358 0 359 0 360 0 361 0 362 0 363 0 364 0 365 0 366 0 367 0 368 0 369 0 370 0 371 0 372 0 373 0 374 0 375 0 376 0 377 0 378 0 379 0 380 0 381 0 382 0 383 0 384 0 385 0 386 0 387 0 388 0 389 0 390 0 391 0 392 0 393 0 394 0 395 0 396 0 397 0 398 0 399 0 400 0 401 0 402 0 403 0 404 0 405 0 406 0 407 0 408 0 409 1 13: Average symbolic conclusion length is 2276/12 ≈ 189.67. (Median: 161.00) There are 0 minimal D-proofs with conclusions of even symbolic length, and there are 12 minimal D-proofs with conclusions of odd symbolic length. [0/12 ≈ 0.00% even] 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 10 0 11 0 12 0 13 0 14 0 15 0 16 0 17 0 18 0 19 0 20 0 21 0 22 0 23 0 24 0 25 0 26 0 27 0 28 0 29 0 30 0 31 0 32 0 33 0 34 0 35 0 36 0 37 0 38 0 39 0 40 0 41 0 42 0 43 0 44 0 45 0 46 0 47 0 48 0 49 0 50 0 51 0 52 0 53 0 54 0 55 0 56 0 57 0 58 0 59 0 60 0 61 1 62 0 63 0 64 0 65 0 66 0 67 0 68 0 69 0 70 0 71 0 72 0 73 0 74 0 75 0 76 0 77 0 78 0 79 0 80 0 81 0 82 0 83 0 84 0 85 1 86 0 87 1 88 0 89 0 90 0 91 0 92 0 93 0 94 0 95 0 96 0 97 0 98 0 99 0 100 0 101 0 102 0 103 0 104 0 105 1 106 0 107 0 108 0 109 0 110 0 111 0 112 0 113 0 114 0 115 0 116 0 117 0 118 0 119 0 120 0 121 0 122 0 123 0 124 0 125 0 126 0 127 0 128 0 129 0 130 0 131 0 132 0 133 0 134 0 135 0 136 0 137 0 138 0 139 0 140 0 141 0 142 0 143 0 144 0 145 0 146 0 147 0 148 0 149 2 150 0 151 0 152 0 153 0 154 0 155 0 156 0 157 0 158 0 159 0 160 0 161 0 162 0 163 0 164 0 165 0 166 0 167 0 168 0 169 0 170 0 171 0 172 0 173 1 174 0 175 0 176 0 177 0 178 0 179 0 180 0 181 0 182 0 183 0 184 0 185 2 186 0 187 0 188 0 189 0 190 0 191 0 192 0 193 0 194 0 195 0 196 0 197 0 198 0 199 0 200 0 201 1 202 0 203 0 204 0 205 0 206 0 207 0 208 0 209 0 210 0 211 0 212 0 213 0 214 0 215 0 216 0 217 0 218 0 219 1 220 0 221 0 222 0 223 0 224 0 225 0 226 0 227 0 228 0 229 0 230 0 231 0 232 0 233 0 234 0 235 0 236 0 237 0 238 0 239 0 240 0 241 0 242 0 243 0 244 0 245 0 246 0 247 0 248 0 249 0 250 0 251 0 252 0 253 0 254 0 255 0 256 0 257 0 258 0 259 0 260 0 261 0 262 0 263 0 264 0 265 0 266 0 267 0 268 0 269 0 270 0 271 0 272 0 273 0 274 0 275 0 276 0 277 0 278 0 279 0 280 0 281 0 282 0 283 0 284 0 285 0 286 0 287 0 288 0 289 0 290 0 291 0 292 0 293 0 294 0 295 0 296 0 297 0 298 0 299 0 300 0 301 0 302 0 303 0 304 0 305 0 306 0 307 0 308 0 309 0 310 0 311 0 312 0 313 0 314 0 315 0 316 0 317 0 318 0 319 0 320 0 321 0 322 0 323 0 324 0 325 0 326 0 327 0 328 0 329 0 330 0 331 0 332 0 333 0 334 0 335 0 336 0 337 0 338 0 339 0 340 0 341 0 342 0 343 0 344 0 345 0 346 0 347 0 348 0 349 0 350 0 351 0 352 0 353 0 354 0 355 0 356 0 357 0 358 0 359 0 360 0 361 0 362 0 363 0 364 0 365 0 366 0 367 0 368 0 369 0 370 0 371 0 372 0 373 0 374 0 375 0 376 0 377 0 378 0 379 0 380 0 381 0 382 0 383 0 384 0 385 0 386 0 387 0 388 0 389 0 390 0 391 0 392 0 393 0 394 0 395 0 396 0 397 0 398 0 399 0 400 0 401 0 402 0 403 0 404 0 405 0 406 0 407 0 408 0 409 0 410 0 411 0 412 0 413 0 414 0 415 0 416 0 417 0 418 0 419 0 420 0 421 0 422 0 423 0 424 0 425 0 426 0 427 0 428 0 429 0 430 0 431 0 432 0 433 0 434 0 435 0 436 0 437 0 438 0 439 0 440 0 441 0 442 0 443 0 444 0 445 0 446 0 447 0 448 0 449 0 450 0 451 0 452 0 453 0 454 0 455 0 456 0 457 0 458 0 459 0 460 0 461 0 462 0 463 0 464 0 465 0 466 0 467 0 468 0 469 0 470 0 471 0 472 0 473 0 474 0 475 0 476 0 477 0 478 0 479 0 480 0 481 0 482 0 483 0 484 0 485 0 486 0 487 0 488 0 489 0 490 0 491 0 492 0 493 0 494 0 495 0 496 0 497 0 498 0 499 0 500 0 501 0 502 0 503 0 504 0 505 0 506 0 507 0 508 0 509 0 510 0 511 0 512 0 513 0 514 0 515 0 516 0 517 0 518 0 519 0 520 0 521 0 522 0 523 0 524 0 525 0 526 0 527 0 528 0 529 0 530 0 531 0 532 0 533 0 534 0 535 0 536 0 537 0 538 0 539 0 540 0 541 0 542 0 543 0 544 0 545 0 546 0 547 0 548 0 549 0 550 0 551 0 552 0 553 0 554 0 555 0 556 0 557 0 558 0 559 0 560 0 561 0 562 0 563 0 564 0 565 0 566 0 567 0 568 0 569 0 570 0 571 0 572 0 573 0 574 0 575 0 576 0 577 0 578 0 579 0 580 0 581 0 582 0 583 0 584 0 585 0 586 0 587 0 588 0 589 0 590 0 591 0 592 0 593 0 594 0 595 0 596 0 597 0 598 0 599 0 600 0 601 0 602 0 603 0 604 0 605 0 606 0 607 0 608 0 609 0 610 0 611 0 612 0 613 0 614 0 615 0 616 0 617 0 618 0 619 0 620 0 621 0 622 0 623 0 624 0 625 0 626 0 627 0 628 0 629 0 630 0 631 0 632 0 633 0 634 0 635 0 636 0 637 0 638 0 639 0 640 0 641 0 642 0 643 0 644 0 645 0 646 0 647 0 648 0 649 0 650 0 651 0 652 0 653 0 654 0 655 0 656 0 657 0 658 0 659 0 660 0 661 0 662 0 663 0 664 0 665 0 666 0 667 0 668 0 669 0 670 0 671 0 672 0 673 0 674 0 675 0 676 0 677 1 15: Average symbolic conclusion length is 5200/22 ≈ 236.36. (Median: 197.00) There are 0 minimal D-proofs with conclusions of even symbolic length, and there are 22 minimal D-proofs with conclusions of odd symbolic length. [0/22 ≈ 0.00% even] 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 10 0 11 1 12 0 13 0 14 0 15 0 16 0 17 0 18 0 19 0 20 0 21 0 22 0 23 0 24 0 25 0 26 0 27 0 28 0 29 0 30 0 31 0 32 0 33 0 34 0 35 0 36 0 37 0 38 0 39 0 40 0 41 1 42 0 43 0 44 0 45 0 46 0 47 0 48 0 49 0 50 0 51 1 52 0 53 0 54 0 55 0 56 0 57 0 58 0 59 0 60 0 61 0 62 0 63 0 64 0 65 0 66 0 67 0 68 0 69 0 70 0 71 0 72 0 73 0 74 0 75 0 76 0 77 0 78 0 79 1 80 0 81 1 82 0 83 0 84 0 85 0 86 0 87 0 88 0 89 0 90 0 91 0 92 0 93 0 94 0 95 0 96 0 97 0 98 0 99 0 100 0 101 0 102 0 103 1 104 0 105 0 106 0 107 0 108 0 109 0 110 0 111 0 112 0 113 0 114 0 115 0 116 0 117 0 118 0 119 0 120 0 121 0 122 0 123 0 124 0 125 1 126 0 127 0 128 0 129 0 130 0 131 0 132 0 133 1 134 0 135 0 136 0 137 0 138 0 139 0 140 0 141 0 142 0 143 0 144 0 145 1 146 0 147 0 148 0 149 0 150 0 151 0 152 0 153 0 154 0 155 0 156 0 157 1 158 0 159 0 160 0 161 0 162 0 163 0 164 0 165 0 166 0 167 0 168 0 169 0 170 0 171 0 172 0 173 0 174 0 175 0 176 0 177 0 178 0 179 0 180 0 181 0 182 0 183 0 184 0 185 1 186 0 187 0 188 0 189 0 190 0 191 0 192 0 193 0 194 0 195 0 196 0 197 0 198 0 199 0 200 0 201 0 202 0 203 0 204 0 205 0 206 0 207 0 208 0 209 1 210 0 211 0 212 0 213 0 214 0 215 0 216 0 217 0 218 0 219 0 220 0 221 0 222 0 223 0 224 0 225 0 226 0 227 0 228 0 229 0 230 0 231 0 232 0 233 0 234 0 235 0 236 0 237 0 238 0 239 0 240 0 241 0 242 0 243 0 244 0 245 0 246 0 247 0 248 0 249 0 250 0 251 0 252 0 253 1 254 0 255 0 256 0 257 0 258 0 259 0 260 0 261 0 262 0 263 0 264 0 265 0 266 0 267 0 268 0 269 0 270 0 271 0 272 0 273 0 274 0 275 0 276 0 277 1 278 0 279 0 280 0 281 0 282 0 283 0 284 0 285 0 286 0 287 0 288 0 289 1 290 0 291 0 292 0 293 1 294 0 295 0 296 0 297 1 298 0 299 0 300 0 301 0 302 0 303 0 304 0 305 1 306 0 307 0 308 0 309 0 310 0 311 0 312 0 313 0 314 0 315 0 316 0 317 0 318 0 319 0 320 0 321 0 322 0 323 0 324 0 325 0 326 0 327 0 328 0 329 0 330 0 331 0 332 0 333 1 334 0 335 0 336 0 337 0 338 0 339 0 340 0 341 0 342 0 343 0 344 0 345 0 346 0 347 0 348 0 349 1 350 0 351 0 352 0 353 0 354 0 355 0 356 0 357 0 358 0 359 0 360 0 361 0 362 0 363 0 364 0 365 0 366 0 367 0 368 0 369 0 370 0 371 0 372 0 373 0 374 0 375 1 376 0 377 0 378 0 379 0 380 0 381 0 382 0 383 0 384 0 385 0 386 0 387 0 388 0 389 0 390 0 391 0 392 0 393 0 394 0 395 0 396 0 397 0 398 0 399 0 400 0 401 0 402 0 403 0 404 0 405 0 406 0 407 0 408 0 409 0 410 0 411 0 412 0 413 0 414 0 415 0 416 0 417 0 418 0 419 0 420 0 421 0 422 0 423 0 424 0 425 0 426 0 427 0 428 0 429 0 430 0 431 0 432 0 433 0 434 0 435 0 436 0 437 0 438 0 439 0 440 0 441 0 442 0 443 0 444 0 445 0 446 0 447 0 448 0 449 0 450 0 451 0 452 0 453 0 454 0 455 0 456 0 457 0 458 0 459 0 460 0 461 0 462 0 463 0 464 0 465 0 466 0 467 0 468 0 469 0 470 0 471 0 472 0 473 0 474 0 475 0 476 0 477 0 478 0 479 0 480 0 481 0 482 0 483 0 484 0 485 0 486 0 487 0 488 0 489 0 490 0 491 0 492 0 493 0 494 0 495 0 496 0 497 0 498 0 499 0 500 0 501 0 502 0 503 0 504 0 505 0 506 0 507 0 508 0 509 0 510 0 511 0 512 0 513 0 514 0 515 0 516 0 517 0 518 0 519 0 520 0 521 0 522 0 523 0 524 0 525 0 526 0 527 0 528 0 529 0 530 0 531 0 532 0 533 0 534 0 535 0 536 0 537 0 538 0 539 0 540 0 541 0 542 0 543 0 544 0 545 0 546 0 547 0 548 0 549 0 550 0 551 0 552 0 553 0 554 0 555 0 556 0 557 0 558 0 559 0 560 0 561 0 562 0 563 0 564 0 565 0 566 0 567 0 568 0 569 0 570 0 571 0 572 0 573 0 574 0 575 0 576 0 577 0 578 0 579 0 580 0 581 0 582 0 583 0 584 0 585 0 586 0 587 0 588 0 589 0 590 0 591 0 592 0 593 0 594 0 595 0 596 0 597 0 598 0 599 0 600 0 601 0 602 0 603 0 604 0 605 0 606 0 607 0 608 0 609 0 610 0 611 0 612 0 613 0 614 0 615 0 616 0 617 0 618 0 619 0 620 0 621 0 622 0 623 0 624 0 625 0 626 0 627 0 628 0 629 0 630 0 631 0 632 0 633 0 634 0 635 0 636 0 637 0 638 0 639 0 640 0 641 0 642 0 643 0 644 0 645 0 646 0 647 0 648 0 649 0 650 0 651 0 652 0 653 0 654 0 655 0 656 0 657 0 658 0 659 0 660 0 661 0 662 0 663 0 664 0 665 0 666 0 667 0 668 0 669 0 670 0 671 0 672 0 673 0 674 0 675 0 676 0 677 0 678 0 679 0 680 0 681 0 682 0 683 0 684 0 685 0 686 0 687 0 688 0 689 0 690 0 691 0 692 0 693 0 694 0 695 0 696 0 697 0 698 0 699 0 700 0 701 0 702 0 703 0 704 0 705 0 706 0 707 0 708 0 709 0 710 0 711 0 712 0 713 0 714 0 715 0 716 0 717 0 718 0 719 0 720 0 721 0 722 0 723 0 724 0 725 0 726 0 727 0 728 0 729 0 730 0 731 0 732 0 733 0 734 0 735 0 736 0 737 0 738 0 739 0 740 0 741 0 742 0 743 0 744 0 745 0 746 0 747 0 748 0 749 0 750 0 751 0 752 0 753 0 754 0 755 0 756 0 757 0 758 0 759 0 760 0 761 0 762 0 763 0 764 0 765 0 766 0 767 0 768 0 769 0 770 0 771 0 772 0 773 0 774 0 775 0 776 0 777 0 778 0 779 0 780 0 781 0 782 0 783 0 784 0 785 0 786 0 787 0 788 0 789 0 790 0 791 0 792 0 793 0 794 0 795 0 796 0 797 0 798 0 799 0 800 0 801 0 802 0 803 0 804 0 805 0 806 0 807 0 808 0 809 0 810 0 811 0 812 0 813 0 814 0 815 0 816 0 817 0 818 0 819 0 820 0 821 0 822 0 823 0 824 0 825 0 826 0 827 0 828 0 829 0 830 0 831 0 832 0 833 0 834 0 835 0 836 0 837 0 838 0 839 0 840 0 841 0 842 0 843 0 844 0 845 0 846 0 847 0 848 0 849 0 850 0 851 0 852 0 853 0 854 0 855 0 856 0 857 0 858 0 859 0 860 0 861 0 862 0 863 0 864 0 865 0 866 0 867 0 868 0 869 0 870 0 871 0 872 0 873 0 874 0 875 0 876 0 877 0 878 0 879 0 880 0 881 0 882 0 883 0 884 0 885 0 886 0 887 0 888 0 889 0 890 0 891 0 892 0 893 0 894 0 895 0 896 0 897 0 898 0 899 0 900 0 901 0 902 0 903 0 904 0 905 0 906 0 907 0 908 0 909 0 910 0 911 0 912 0 913 0 914 0 915 0 916 0 917 0 918 0 919 0 920 0 921 0 922 0 923 0 924 0 925 0 926 0 927 0 928 0 929 0 930 0 931 0 932 0 933 0 934 0 935 0 936 0 937 0 938 0 939 0 940 0 941 0 942 0 943 0 944 0 945 0 946 0 947 0 948 0 949 0 950 0 951 0 952 0 953 0 954 0 955 0 956 0 957 0 958 0 959 0 960 0 961 0 962 0 963 0 964 0 965 0 966 0 967 0 968 0 969 0 970 0 971 0 972 0 973 0 974 0 975 0 976 0 977 0 978 0 979 0 980 0 981 0 982 0 983 0 984 0 985 0 986 0 987 0 988 0 989 0 990 0 991 0 992 0 993 0 994 0 995 0 996 0 997 0 998 0 999 0 1000 0 1001 0 1002 0 1003 0 1004 0 1005 0 1006 0 1007 0 1008 0 1009 0 1010 0 1011 0 1012 0 1013 0 1014 0 1015 0 1016 0 1017 0 1018 0 1019 0 1020 0 1021 0 1022 0 1023 0 1024 0 1025 0 1026 0 1027 0 1028 0 1029 0 1030 0 1031 0 1032 0 1033 0 1034 0 1035 0 1036 0 1037 0 1038 0 1039 0 1040 0 1041 0 1042 0 1043 0 1044 0 1045 0 1046 0 1047 0 1048 0 1049 0 1050 0 1051 0 1052 0 1053 0 1054 0 1055 0 1056 0 1057 0 1058 0 1059 0 1060 0 1061 0 1062 0 1063 0 1064 0 1065 0 1066 0 1067 0 1068 0 1069 0 1070 0 1071 0 1072 0 1073 0 1074 0 1075 0 1076 0 1077 0 1078 0 1079 0 1080 0 1081 0 1082 0 1083 0 1084 0 1085 0 1086 0 1087 0 1088 0 1089 0 1090 0 1091 0 1092 0 1093 0 1094 0 1095 0 1096 0 1097 0 1098 0 1099 0 1100 0 1101 0 1102 0 1103 0 1104 0 1105 0 1106 0 1107 0 1108 0 1109 1 17: Average symbolic conclusion length is 12216/42 ≈ 290.86. (Median: 211.00) There are 0 minimal D-proofs with conclusions of even symbolic length, and there are 42 minimal D-proofs with conclusions of odd symbolic length. [0/42 ≈ 0.00% even] 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 10 0 11 0 12 0 13 0 14 0 15 0 16 0 17 0 18 0 19 0 20 0 21 0 22 0 23 0 24 0 25 0 26 0 27 1 28 0 29 1 30 0 31 0 32 0 33 0 34 0 35 0 36 0 37 0 38 0 39 0 40 0 41 0 42 0 43 0 44 0 45 0 46 0 47 0 48 0 49 0 50 0 51 1 52 0 53 0 54 0 55 1 56 0 57 1 58 0 59 0 60 0 61 0 62 0 63 0 64 0 65 0 66 0 67 1 68 0 69 0 70 0 71 0 72 0 73 1 74 0 75 0 76 0 77 1 78 0 79 0 80 0 81 0 82 0 83 0 84 0 85 1 86 0 87 0 88 0 89 1 90 0 91 0 92 0 93 0 94 0 95 0 96 0 97 0 98 0 99 0 100 0 101 0 102 0 103 0 104 0 105 1 106 0 107 0 108 0 109 1 110 0 111 0 112 0 113 0 114 0 115 0 116 0 117 1 118 0 119 0 120 0 121 0 122 0 123 0 124 0 125 1 126 0 127 0 128 0 129 0 130 0 131 0 132 0 133 0 134 0 135 0 136 0 137 0 138 0 139 0 140 0 141 2 142 0 143 0 144 0 145 0 146 0 147 0 148 0 149 1 150 0 151 0 152 0 153 0 154 0 155 0 156 0 157 0 158 0 159 0 160 0 161 0 162 0 163 0 164 0 165 0 166 0 167 0 168 0 169 0 170 0 171 0 172 0 173 0 174 0 175 0 176 0 177 0 178 0 179 0 180 0 181 1 182 0 183 0 184 0 185 0 186 0 187 0 188 0 189 0 190 0 191 0 192 0 193 0 194 0 195 0 196 0 197 0 198 0 199 0 200 0 201 0 202 0 203 1 204 0 205 0 206 0 207 0 208 0 209 2 210 0 211 0 212 0 213 1 214 0 215 0 216 0 217 1 218 0 219 0 220 0 221 0 222 0 223 0 224 0 225 0 226 0 227 0 228 0 229 0 230 0 231 0 232 0 233 0 234 0 235 0 236 0 237 0 238 0 239 0 240 0 241 1 242 0 243 0 244 0 245 0 246 0 247 0 248 0 249 1 250 0 251 0 252 0 253 0 254 0 255 0 256 0 257 0 258 0 259 0 260 0 261 0 262 0 263 0 264 0 265 0 266 0 267 0 268 0 269 0 270 0 271 0 272 0 273 0 274 0 275 0 276 0 277 0 278 0 279 0 280 0 281 0 282 0 283 0 284 0 285 0 286 0 287 0 288 0 289 0 290 0 291 0 292 0 293 0 294 0 295 0 296 0 297 0 298 0 299 0 300 0 301 1 302 0 303 0 304 0 305 0 306 0 307 0 308 0 309 0 310 0 311 0 312 0 313 2 314 0 315 0 316 0 317 1 318 0 319 0 320 0 321 0 322 0 323 0 324 0 325 0 326 0 327 0 328 0 329 0 330 0 331 0 332 0 333 0 334 0 335 0 336 0 337 0 338 0 339 0 340 0 341 0 342 0 343 0 344 0 345 0 346 0 347 0 348 0 349 0 350 0 351 0 352 0 353 0 354 0 355 0 356 0 357 0 358 0 359 0 360 0 361 0 362 0 363 0 364 0 365 0 366 0 367 0 368 0 369 0 370 0 371 0 372 0 373 0 374 0 375 0 376 0 377 0 378 0 379 0 380 0 381 1 382 0 383 0 384 0 385 0 386 0 387 0 388 0 389 0 390 0 391 0 392 0 393 0 394 0 395 0 396 0 397 0 398 0 399 0 400 0 401 0 402 0 403 0 404 0 405 0 406 0 407 0 408 0 409 0 410 0 411 0 412 0 413 0 414 0 415 0 416 0 417 1 418 0 419 0 420 0 421 0 422 0 423 0 424 0 425 0 426 0 427 0 428 0 429 0 430 0 431 0 432 0 433 0 434 0 435 0 436 0 437 0 438 0 439 0 440 0 441 0 442 0 443 0 444 0 445 0 446 0 447 0 448 0 449 1 450 0 451 0 452 0 453 0 454 0 455 0 456 0 457 0 458 0 459 0 460 0 461 1 462 0 463 0 464 0 465 0 466 0 467 0 468 0 469 1 470 0 471 0 472 0 473 0 474 0 475 0 476 0 477 0 478 0 479 0 480 0 481 0 482 0 483 0 484 0 485 0 486 0 487 0 488 0 489 1 490 0 491 0 492 0 493 0 494 0 495 0 496 0 497 0 498 0 499 0 500 0 501 0 502 0 503 0 504 0 505 1 506 0 507 0 508 0 509 0 510 0 511 0 512 0 513 1 514 0 515 0 516 0 517 0 518 0 519 0 520 0 521 0 522 0 523 0 524 0 525 0 526 0 527 0 528 0 529 1 530 0 531 0 532 0 533 0 534 0 535 0 536 0 537 0 538 0 539 0 540 0 541 1 542 0 543 0 544 0 545 0 546 0 547 0 548 0 549 0 550 0 551 0 552 0 553 0 554 0 555 0 556 0 557 0 558 0 559 0 560 0 561 0 562 0 563 0 564 0 565 0 566 0 567 0 568 0 569 0 570 0 571 0 572 0 573 1 574 0 575 0 576 0 577 0 578 0 579 0 580 0 581 0 582 0 583 0 584 0 585 0 586 0 587 0 588 0 589 0 590 0 591 0 592 0 593 0 594 0 595 0 596 0 597 0 598 0 599 0 600 0 601 0 602 0 603 0 604 0 605 0 606 0 607 0 608 0 609 0 610 0 611 0 612 0 613 0 614 0 615 0 616 0 617 1 618 0 619 0 620 0 621 0 622 0 623 0 624 0 625 0 626 0 627 0 628 0 629 0 630 0 631 0 632 0 633 0 634 0 635 0 636 0 637 0 638 0 639 0 640 0 641 0 642 0 643 0 644 0 645 0 646 0 647 0 648 0 649 0 650 0 651 0 652 0 653 0 654 0 655 0 656 0 657 0 658 0 659 0 660 0 661 0 662 0 663 0 664 0 665 0 666 0 667 0 668 0 669 0 670 0 671 0 672 0 673 0 674 0 675 0 676 0 677 0 678 0 679 0 680 0 681 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0 1728 0 1729 0 1730 0 1731 0 1732 0 1733 0 1734 0 1735 0 1736 0 1737 0 1738 0 1739 0 1740 0 1741 0 1742 0 1743 0 1744 0 1745 0 1746 0 1747 0 1748 0 1749 0 1750 0 1751 0 1752 0 1753 0 1754 0 1755 0 1756 0 1757 0 1758 0 1759 0 1760 0 1761 0 1762 0 1763 0 1764 0 1765 0 1766 0 1767 0 1768 0 1769 0 1770 0 1771 0 1772 0 1773 0 1774 0 1775 0 1776 0 1777 0 1778 0 1779 0 1780 0 1781 0 1782 0 1783 0 1784 0 1785 0 1786 0 1787 0 1788 0 1789 0 1790 0 1791 0 1792 0 1793 0 1794 0 1795 0 1796 0 1797 0 1798 0 1799 0 1800 0 1801 0 1802 0 1803 0 1804 0 1805 0 1806 0 1807 0 1808 0 1809 1 19: Average symbolic conclusion length is 28776/80 ≈ 359.70. (Median: 241) There are 0 minimal D-proofs with conclusions of even symbolic length, and there are 80 minimal D-proofs with conclusions of odd symbolic length. [0/80 ≈ 0.00% even] 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 10 0 11 0 12 0 13 0 14 0 15 0 16 0 17 0 18 0 19 0 20 0 21 0 22 0 23 0 24 0 25 0 26 0 27 0 28 0 29 0 30 0 31 0 32 0 33 0 34 0 35 0 36 0 37 0 38 0 39 0 40 0 41 0 42 0 43 0 44 0 45 1 46 0 47 0 48 0 49 1 50 0 51 0 52 0 53 0 54 0 55 0 56 0 57 0 58 0 59 0 60 0 61 2 62 0 63 0 64 0 65 0 66 0 67 0 68 0 69 1 70 0 71 2 72 0 73 0 74 0 75 0 76 0 77 0 78 0 79 0 80 0 81 1 82 0 83 0 84 0 85 0 86 0 87 1 88 0 89 0 90 0 91 0 92 0 93 3 94 0 95 1 96 0 97 0 98 0 99 0 100 0 101 1 102 0 103 0 104 0 105 2 106 0 107 0 108 0 109 1 110 0 111 0 112 0 113 1 114 0 115 1 116 0 117 0 118 0 119 0 120 0 121 0 122 0 123 0 124 0 125 0 126 0 127 0 128 0 129 1 130 0 131 0 132 0 133 0 134 0 135 0 136 0 137 3 138 0 139 0 140 0 141 0 142 0 143 0 144 0 145 1 146 0 147 0 148 0 149 0 150 0 151 0 152 0 153 2 154 0 155 0 156 0 157 0 158 0 159 0 160 0 161 1 162 0 163 0 164 0 165 2 166 0 167 0 168 0 169 0 170 0 171 0 172 0 173 0 174 0 175 0 176 0 177 1 178 0 179 0 180 0 181 1 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0 2872 0 2873 0 2874 0 2875 0 2876 0 2877 0 2878 0 2879 0 2880 0 2881 0 2882 0 2883 0 2884 0 2885 0 2886 0 2887 0 2888 0 2889 0 2890 0 2891 0 2892 0 2893 0 2894 0 2895 0 2896 0 2897 0 2898 0 2899 0 2900 0 2901 0 2902 0 2903 0 2904 0 2905 0 2906 0 2907 0 2908 0 2909 0 2910 0 2911 0 2912 0 2913 0 2914 0 2915 0 2916 0 2917 0 2918 0 2919 0 2920 0 2921 0 2922 0 2923 0 2924 0 2925 0 2926 0 2927 0 2928 0 2929 0 2930 0 2931 0 2932 0 2933 0 2934 0 2935 0 2936 0 2937 0 2938 0 2939 0 2940 0 2941 1 21: Average symbolic conclusion length is 67495/151 ≈ 446.99. (Median: 297) There are 0 minimal D-proofs with conclusions of even symbolic length, and there are 151 minimal D-proofs with conclusions of odd symbolic length. [0/151 ≈ 0.00% even] 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 10 0 11 0 12 0 13 0 14 0 15 0 16 0 17 0 18 0 19 0 20 0 21 0 22 0 23 0 24 0 25 2 26 0 27 1 28 0 29 0 30 0 31 0 32 0 33 0 34 0 35 0 36 0 37 0 38 0 39 0 40 0 41 0 42 0 43 0 44 0 45 0 46 0 47 0 48 0 49 0 50 0 51 0 52 0 53 0 54 0 55 0 56 0 57 0 58 0 59 0 60 0 61 0 62 0 63 0 64 0 65 1 66 0 67 1 68 0 69 1 70 0 71 0 72 0 73 1 74 0 75 0 76 0 77 0 78 0 79 0 80 0 81 0 82 0 83 0 84 0 85 0 86 0 87 0 88 0 89 1 90 0 91 1 92 0 93 1 94 0 95 0 96 0 97 1 98 0 99 0 100 0 101 1 102 0 103 0 104 0 105 0 106 0 107 1 108 0 109 2 110 0 111 1 112 0 113 2 114 0 115 0 116 0 117 0 118 0 119 1 120 0 121 1 122 0 123 1 124 0 125 1 126 0 127 0 128 0 129 1 130 0 131 1 132 0 133 3 134 0 135 0 136 0 137 0 138 0 139 0 140 0 141 0 142 0 143 0 144 0 145 1 146 0 147 0 148 0 149 2 150 0 151 0 152 0 153 3 154 0 155 1 156 0 157 0 158 0 159 0 160 0 161 0 162 0 163 0 164 0 165 0 166 0 167 0 168 0 169 2 170 0 171 1 172 0 173 3 174 0 175 0 176 0 177 2 178 0 179 0 180 0 181 2 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0 4588 0 4589 0 4590 0 4591 0 4592 0 4593 0 4594 0 4595 0 4596 0 4597 0 4598 0 4599 0 4600 0 4601 0 4602 0 4603 0 4604 0 4605 0 4606 0 4607 0 4608 0 4609 0 4610 0 4611 0 4612 0 4613 0 4614 0 4615 0 4616 0 4617 0 4618 0 4619 0 4620 0 4621 0 4622 0 4623 0 4624 0 4625 0 4626 0 4627 0 4628 0 4629 0 4630 0 4631 0 4632 0 4633 0 4634 0 4635 0 4636 0 4637 0 4638 0 4639 0 4640 0 4641 0 4642 0 4643 0 4644 0 4645 0 4646 0 4647 0 4648 0 4649 0 4650 0 4651 0 4652 0 4653 0 4654 0 4655 0 4656 0 4657 0 4658 0 4659 0 4660 0 4661 0 4662 0 4663 0 4664 0 4665 0 4666 0 4667 0 4668 0 4669 0 4670 0 4671 0 4672 0 4673 0 4674 0 4675 0 4676 0 4677 0 4678 0 4679 0 4680 0 4681 0 4682 0 4683 0 4684 0 4685 0 4686 0 4687 0 4688 0 4689 0 4690 0 4691 0 4692 0 4693 0 4694 0 4695 0 4696 0 4697 0 4698 0 4699 0 4700 0 4701 0 4702 0 4703 0 4704 0 4705 0 4706 0 4707 0 4708 0 4709 0 4710 0 4711 0 4712 0 4713 0 4714 0 4715 0 4716 0 4717 0 4718 0 4719 0 4720 0 4721 0 4722 0 4723 0 4724 0 4725 0 4726 0 4727 0 4728 0 4729 0 4730 0 4731 0 4732 0 4733 0 4734 0 4735 0 4736 0 4737 0 4738 0 4739 0 4740 0 4741 0 4742 0 4743 0 4744 0 4745 0 4746 0 4747 0 4748 0 4749 0 4750 0 4751 0 4752 0 4753 0 4754 0 4755 0 4756 0 4757 0 4758 0 4759 0 4760 0 4761 0 4762 0 4763 0 4764 0 4765 0 4766 0 4767 0 4768 0 4769 0 4770 0 4771 0 4772 0 4773 1 23: Average symbolic conclusion length is 158841/287 ≈ 553.45. (Median: 353) There are 0 minimal D-proofs with conclusions of even symbolic length, and there are 287 minimal D-proofs with conclusions of odd symbolic length. [0/287 ≈ 0.00% even] 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 10 0 11 0 12 0 13 0 14 0 15 1 16 0 17 0 18 0 19 0 20 0 21 0 22 0 23 0 24 0 25 0 26 0 27 0 28 0 29 0 30 0 31 0 32 0 33 0 34 0 35 1 36 0 37 0 38 0 39 0 40 0 41 3 42 0 43 2 44 0 45 1 46 0 47 0 48 0 49 0 50 0 51 0 52 0 53 1 54 0 55 1 56 0 57 0 58 0 59 0 60 0 61 1 62 0 63 0 64 0 65 0 66 0 67 1 68 0 69 0 70 0 71 0 72 0 73 0 74 0 75 0 76 0 77 1 78 0 79 1 80 0 81 0 82 0 83 2 84 0 85 1 86 0 87 0 88 0 89 1 90 0 91 0 92 0 93 1 94 0 95 1 96 0 97 0 98 0 99 0 100 0 101 2 102 0 103 0 104 0 105 1 106 0 107 1 108 0 109 0 110 0 111 0 112 0 113 0 114 0 115 1 116 0 117 2 118 0 119 0 120 0 121 0 122 0 123 0 124 0 125 1 126 0 127 0 128 0 129 1 130 0 131 0 132 0 133 3 134 0 135 0 136 0 137 2 138 0 139 1 140 0 141 1 142 0 143 1 144 0 145 1 146 0 147 0 148 0 149 2 150 0 151 0 152 0 153 2 154 0 155 0 156 0 157 1 158 0 159 1 160 0 161 3 162 0 163 0 164 0 165 0 166 0 167 1 168 0 169 4 170 0 171 0 172 0 173 2 174 0 175 0 176 0 177 1 178 0 179 0 180 0 181 2 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0 7734 0 7735 0 7736 0 7737 1 25: Average symbolic conclusion length is 373903/555 ≈ 673.70. (Median: 445) There are 0 minimal D-proofs with conclusions of even symbolic length, and there are 555 minimal D-proofs with conclusions of odd symbolic length. [0/555 ≈ 0.00% even] 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 10 0 11 0 12 0 13 0 14 0 15 0 16 0 17 0 18 0 19 0 20 0 21 0 22 0 23 0 24 0 25 0 26 0 27 0 28 0 29 0 30 0 31 1 32 0 33 1 34 0 35 0 36 0 37 1 38 0 39 0 40 0 41 0 42 0 43 0 44 0 45 0 46 0 47 0 48 0 49 0 50 0 51 1 52 0 53 1 54 0 55 1 56 0 57 1 58 0 59 4 60 0 61 1 62 0 63 0 64 0 65 1 66 0 67 0 68 0 69 2 70 0 71 2 72 0 73 0 74 0 75 1 76 0 77 2 78 0 79 1 80 0 81 3 82 0 83 0 84 0 85 5 86 0 87 1 88 0 89 3 90 0 91 0 92 0 93 2 94 0 95 2 96 0 97 1 98 0 99 2 100 0 101 1 102 0 103 1 104 0 105 0 106 0 107 1 108 0 109 4 110 0 111 2 112 0 113 2 114 0 115 2 116 0 117 0 118 0 119 2 120 0 121 3 122 0 123 3 124 0 125 2 126 0 127 1 128 0 129 2 130 0 131 3 132 0 133 0 134 0 135 0 136 0 137 2 138 0 139 1 140 0 141 1 142 0 143 0 144 0 145 5 146 0 147 1 148 0 149 1 150 0 151 0 152 0 153 1 154 0 155 1 156 0 157 1 158 0 159 0 160 0 161 2 162 0 163 0 164 0 165 1 166 0 167 1 168 0 169 2 170 0 171 0 172 0 173 0 174 0 175 0 176 0 177 4 178 0 179 0 180 0 181 2 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11519 0 11520 0 11521 0 11522 0 11523 0 11524 0 11525 0 11526 0 11527 0 11528 0 11529 0 11530 0 11531 0 11532 0 11533 0 11534 0 11535 0 11536 0 11537 0 11538 0 11539 0 11540 0 11541 0 11542 0 11543 0 11544 0 11545 0 11546 0 11547 0 11548 0 11549 0 11550 0 11551 0 11552 0 11553 0 11554 0 11555 0 11556 0 11557 0 11558 0 11559 0 11560 0 11561 0 11562 0 11563 0 11564 0 11565 0 11566 0 11567 0 11568 0 11569 0 11570 0 11571 0 11572 0 11573 0 11574 0 11575 0 11576 0 11577 0 11578 0 11579 0 11580 0 11581 0 11582 0 11583 0 11584 0 11585 0 11586 0 11587 0 11588 0 11589 0 11590 0 11591 0 11592 0 11593 0 11594 0 11595 0 11596 0 11597 0 11598 0 11599 0 11600 0 11601 0 11602 0 11603 0 11604 0 11605 0 11606 0 11607 0 11608 0 11609 0 11610 0 11611 0 11612 0 11613 0 11614 0 11615 0 11616 0 11617 0 11618 0 11619 0 11620 0 11621 0 11622 0 11623 0 11624 0 11625 0 11626 0 11627 0 11628 0 11629 0 11630 0 11631 0 11632 0 11633 0 11634 0 11635 0 11636 0 11637 0 11638 0 11639 0 11640 0 11641 0 11642 0 11643 0 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11894 0 11895 0 11896 0 11897 0 11898 0 11899 0 11900 0 11901 0 11902 0 11903 0 11904 0 11905 0 11906 0 11907 0 11908 0 11909 0 11910 0 11911 0 11912 0 11913 0 11914 0 11915 0 11916 0 11917 0 11918 0 11919 0 11920 0 11921 0 11922 0 11923 0 11924 0 11925 0 11926 0 11927 0 11928 0 11929 0 11930 0 11931 0 11932 0 11933 0 11934 0 11935 0 11936 0 11937 0 11938 0 11939 0 11940 0 11941 0 11942 0 11943 0 11944 0 11945 0 11946 0 11947 0 11948 0 11949 0 11950 0 11951 0 11952 0 11953 0 11954 0 11955 0 11956 0 11957 0 11958 0 11959 0 11960 0 11961 0 11962 0 11963 0 11964 0 11965 0 11966 0 11967 0 11968 0 11969 0 11970 0 11971 0 11972 0 11973 0 11974 0 11975 0 11976 0 11977 0 11978 0 11979 0 11980 0 11981 0 11982 0 11983 0 11984 0 11985 0 11986 0 11987 0 11988 0 11989 0 11990 0 11991 0 11992 0 11993 0 11994 0 11995 0 11996 0 11997 0 11998 0 11999 0 12000 0 12001 0 12002 0 12003 0 12004 0 12005 0 12006 0 12007 0 12008 0 12009 0 12010 0 12011 0 12012 0 12013 0 12014 0 12015 0 12016 0 12017 0 12018 0 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12269 0 12270 0 12271 0 12272 0 12273 0 12274 0 12275 0 12276 0 12277 0 12278 0 12279 0 12280 0 12281 0 12282 0 12283 0 12284 0 12285 0 12286 0 12287 0 12288 0 12289 0 12290 0 12291 0 12292 0 12293 0 12294 0 12295 0 12296 0 12297 0 12298 0 12299 0 12300 0 12301 0 12302 0 12303 0 12304 0 12305 0 12306 0 12307 0 12308 0 12309 0 12310 0 12311 0 12312 0 12313 0 12314 0 12315 0 12316 0 12317 0 12318 0 12319 0 12320 0 12321 0 12322 0 12323 0 12324 0 12325 0 12326 0 12327 0 12328 0 12329 0 12330 0 12331 0 12332 0 12333 0 12334 0 12335 0 12336 0 12337 0 12338 0 12339 0 12340 0 12341 0 12342 0 12343 0 12344 0 12345 0 12346 0 12347 0 12348 0 12349 0 12350 0 12351 0 12352 0 12353 0 12354 0 12355 0 12356 0 12357 0 12358 0 12359 0 12360 0 12361 0 12362 0 12363 0 12364 0 12365 0 12366 0 12367 0 12368 0 12369 0 12370 0 12371 0 12372 0 12373 0 12374 0 12375 0 12376 0 12377 0 12378 0 12379 0 12380 0 12381 0 12382 0 12383 0 12384 0 12385 0 12386 0 12387 0 12388 0 12389 0 12390 0 12391 0 12392 0 12393 0 12394 0 12395 0 12396 0 12397 0 12398 0 12399 0 12400 0 12401 0 12402 0 12403 0 12404 0 12405 0 12406 0 12407 0 12408 0 12409 0 12410 0 12411 0 12412 0 12413 0 12414 0 12415 0 12416 0 12417 0 12418 0 12419 0 12420 0 12421 0 12422 0 12423 0 12424 0 12425 0 12426 0 12427 0 12428 0 12429 0 12430 0 12431 0 12432 0 12433 0 12434 0 12435 0 12436 0 12437 0 12438 0 12439 0 12440 0 12441 0 12442 0 12443 0 12444 0 12445 0 12446 0 12447 0 12448 0 12449 0 12450 0 12451 0 12452 0 12453 0 12454 0 12455 0 12456 0 12457 0 12458 0 12459 0 12460 0 12461 0 12462 0 12463 0 12464 0 12465 0 12466 0 12467 0 12468 0 12469 0 12470 0 12471 0 12472 0 12473 0 12474 0 12475 0 12476 0 12477 0 12478 0 12479 0 12480 0 12481 0 12482 0 12483 0 12484 0 12485 0 12486 0 12487 0 12488 0 12489 0 12490 0 12491 0 12492 0 12493 0 12494 0 12495 0 12496 0 12497 0 12498 0 12499 0 12500 0 12501 0 12502 0 12503 0 12504 0 12505 0 12506 0 12507 0 12508 0 12509 0 12510 0 12511 0 12512 0 12513 0 12514 0 12515 0 12516 0 12517 0 12518 0 12519 0 12520 0 12521 0 12522 0 12523 0 12524 0 12525 0 12526 0 12527 0 12528 0 12529 0 12530 0 12531 0 12532 0 12533 1 27: Average symbolic conclusion length is 881181/1081 ≈ 815.15. (Median: 517) There are 0 minimal D-proofs with conclusions of even symbolic length, and there are 1081 minimal D-proofs with conclusions of odd symbolic length. [0/1081 ≈ 0.00% even] 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 10 0 11 0 12 0 13 0 14 0 15 0 16 0 17 0 18 0 19 0 20 0 21 0 22 0 23 0 24 0 25 0 26 0 27 0 28 0 29 0 30 0 31 0 32 0 33 0 34 0 35 0 36 0 37 0 38 0 39 0 40 0 41 1 42 0 43 1 44 0 45 1 46 0 47 0 48 0 49 1 50 0 51 3 52 0 53 1 54 0 55 0 56 0 57 2 58 0 59 0 60 0 61 1 62 0 63 0 64 0 65 2 66 0 67 0 68 0 69 2 70 0 71 0 72 0 73 2 74 0 75 7 76 0 77 0 78 0 79 0 80 0 81 0 82 0 83 0 84 0 85 2 86 0 87 0 88 0 89 2 90 0 91 1 92 0 93 0 94 0 95 2 96 0 97 4 98 0 99 4 100 0 101 1 102 0 103 0 104 0 105 2 106 0 107 1 108 0 109 8 110 0 111 0 112 0 113 4 114 0 115 0 116 0 117 3 118 0 119 3 120 0 121 2 122 0 123 3 124 0 125 4 126 0 127 0 128 0 129 5 130 0 131 2 132 0 133 6 134 0 135 1 136 0 137 1 138 0 139 3 140 0 141 5 142 0 143 1 144 0 145 9 146 0 147 5 148 0 149 6 150 0 151 1 152 0 153 5 154 0 155 0 156 0 157 5 158 0 159 1 160 0 161 6 162 0 163 4 164 0 165 9 166 0 167 1 168 0 169 3 170 0 171 2 172 0 173 1 174 0 175 3 176 0 177 4 178 0 179 1 180 0 181 4 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19894 0 19895 0 19896 0 19897 0 19898 0 19899 0 19900 0 19901 0 19902 0 19903 0 19904 0 19905 0 19906 0 19907 0 19908 0 19909 0 19910 0 19911 0 19912 0 19913 0 19914 0 19915 0 19916 0 19917 0 19918 0 19919 0 19920 0 19921 0 19922 0 19923 0 19924 0 19925 0 19926 0 19927 0 19928 0 19929 0 19930 0 19931 0 19932 0 19933 0 19934 0 19935 0 19936 0 19937 0 19938 0 19939 0 19940 0 19941 0 19942 0 19943 0 19944 0 19945 0 19946 0 19947 0 19948 0 19949 0 19950 0 19951 0 19952 0 19953 0 19954 0 19955 0 19956 0 19957 0 19958 0 19959 0 19960 0 19961 0 19962 0 19963 0 19964 0 19965 0 19966 0 19967 0 19968 0 19969 0 19970 0 19971 0 19972 0 19973 0 19974 0 19975 0 19976 0 19977 0 19978 0 19979 0 19980 0 19981 0 19982 0 19983 0 19984 0 19985 0 19986 0 19987 0 19988 0 19989 0 19990 0 19991 0 19992 0 19993 0 19994 0 19995 0 19996 0 19997 0 19998 0 19999 0 20000 0 20001 0 20002 0 20003 0 20004 0 20005 0 20006 0 20007 0 20008 0 20009 0 20010 0 20011 0 20012 0 20013 0 20014 0 20015 0 20016 0 20017 0 20018 0 20019 0 20020 0 20021 0 20022 0 20023 0 20024 0 20025 0 20026 0 20027 0 20028 0 20029 0 20030 0 20031 0 20032 0 20033 0 20034 0 20035 0 20036 0 20037 0 20038 0 20039 0 20040 0 20041 0 20042 0 20043 0 20044 0 20045 0 20046 0 20047 0 20048 0 20049 0 20050 0 20051 0 20052 0 20053 0 20054 0 20055 0 20056 0 20057 0 20058 0 20059 0 20060 0 20061 0 20062 0 20063 0 20064 0 20065 0 20066 0 20067 0 20068 0 20069 0 20070 0 20071 0 20072 0 20073 0 20074 0 20075 0 20076 0 20077 0 20078 0 20079 0 20080 0 20081 0 20082 0 20083 0 20084 0 20085 0 20086 0 20087 0 20088 0 20089 0 20090 0 20091 0 20092 0 20093 0 20094 0 20095 0 20096 0 20097 0 20098 0 20099 0 20100 0 20101 0 20102 0 20103 0 20104 0 20105 0 20106 0 20107 0 20108 0 20109 0 20110 0 20111 0 20112 0 20113 0 20114 0 20115 0 20116 0 20117 0 20118 0 20119 0 20120 0 20121 0 20122 0 20123 0 20124 0 20125 0 20126 0 20127 0 20128 0 20129 0 20130 0 20131 0 20132 0 20133 0 20134 0 20135 0 20136 0 20137 0 20138 0 20139 0 20140 0 20141 0 20142 0 20143 0 20144 0 20145 0 20146 0 20147 0 20148 0 20149 0 20150 0 20151 0 20152 0 20153 0 20154 0 20155 0 20156 0 20157 0 20158 0 20159 0 20160 0 20161 0 20162 0 20163 0 20164 0 20165 0 20166 0 20167 0 20168 0 20169 0 20170 0 20171 0 20172 0 20173 0 20174 0 20175 0 20176 0 20177 0 20178 0 20179 0 20180 0 20181 0 20182 0 20183 0 20184 0 20185 0 20186 0 20187 0 20188 0 20189 0 20190 0 20191 0 20192 0 20193 0 20194 0 20195 0 20196 0 20197 0 20198 0 20199 0 20200 0 20201 0 20202 0 20203 0 20204 0 20205 0 20206 0 20207 0 20208 0 20209 0 20210 0 20211 0 20212 0 20213 0 20214 0 20215 0 20216 0 20217 0 20218 0 20219 0 20220 0 20221 0 20222 0 20223 0 20224 0 20225 0 20226 0 20227 0 20228 0 20229 0 20230 0 20231 0 20232 0 20233 0 20234 0 20235 0 20236 0 20237 0 20238 0 20239 0 20240 0 20241 0 20242 0 20243 0 20244 0 20245 0 20246 0 20247 0 20248 0 20249 0 20250 0 20251 0 20252 0 20253 0 20254 0 20255 0 20256 0 20257 0 20258 0 20259 0 20260 0 20261 0 20262 0 20263 0 20264 0 20265 0 20266 0 20267 0 20268 0 20269 0 20270 0 20271 0 20272 0 20273 0 20274 0 20275 0 20276 0 20277 0 20278 0 20279 0 20280 0 20281 0 20282 0 20283 0 20284 0 20285 0 20286 0 20287 0 20288 0 20289 0 20290 0 20291 0 20292 0 20293 1 29: Average symbolic conclusion length is 2078917/2107 ≈ 986.67. (Median: 585) There are 2 minimal D-proofs with conclusions of even symbolic length, and there are 2105 minimal D-proofs with conclusions of odd symbolic length. [2/2107 ≈ 0.09% even] 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 10 0 11 0 12 0 13 0 14 0 15 0 16 0 17 0 18 0 19 0 20 0 21 0 22 0 23 0 24 0 25 0 26 0 27 0 28 0 29 4 30 0 31 2 32 0 33 0 34 0 35 0 36 0 37 0 38 0 39 0 40 0 41 0 42 0 43 0 44 0 45 0 46 1 47 0 48 0 49 0 50 0 51 1 52 0 53 0 54 0 55 0 56 0 57 4 58 0 59 2 60 0 61 2 62 0 63 1 64 0 65 1 66 0 67 4 68 0 69 2 70 0 71 2 72 0 73 4 74 0 75 1 76 0 77 3 78 0 79 0 80 0 81 1 82 0 83 0 84 0 85 1 86 0 87 0 88 0 89 0 90 0 91 2 92 0 93 5 94 0 95 4 96 0 97 1 98 0 99 0 100 0 101 1 102 0 103 2 104 0 105 6 106 0 107 0 108 0 109 2 110 0 111 1 112 0 113 5 114 0 115 3 116 0 117 6 118 0 119 1 120 0 121 2 122 0 123 3 124 0 125 5 126 0 127 1 128 0 129 5 130 0 131 0 132 0 133 6 134 0 135 3 136 0 137 8 138 0 139 1 140 0 141 0 142 0 143 1 144 0 145 4 146 0 147 2 148 0 149 3 150 0 151 0 152 0 153 10 154 0 155 5 156 0 157 9 158 0 159 2 160 0 161 8 162 0 163 0 164 0 165 1 166 0 167 0 168 0 169 7 170 0 171 4 172 0 173 4 174 0 175 4 176 0 177 5 178 0 179 2 180 0 181 5 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3 1154 0 1155 0 1156 0 1157 2 1158 0 1159 0 1160 0 1161 1 1162 0 1163 1 1164 0 1165 5 1166 0 1167 0 1168 0 1169 1 1170 0 1171 0 1172 0 1173 2 1174 0 1175 0 1176 0 1177 2 1178 0 1179 1 1180 0 1181 1 1182 0 1183 0 1184 0 1185 2 1186 0 1187 1 1188 0 1189 4 1190 0 1191 0 1192 0 1193 2 1194 0 1195 0 1196 0 1197 2 1198 0 1199 1 1200 0 1201 2 1202 0 1203 0 1204 0 1205 2 1206 0 1207 0 1208 0 1209 3 1210 0 1211 0 1212 0 1213 3 1214 0 1215 1 1216 0 1217 1 1218 0 1219 0 1220 0 1221 2 1222 0 1223 0 1224 0 1225 6 1226 0 1227 0 1228 0 1229 2 1230 0 1231 0 1232 0 1233 3 1234 0 1235 0 1236 0 1237 1 1238 0 1239 0 1240 0 1241 5 1242 0 1243 0 1244 0 1245 0 1246 0 1247 1 1248 0 1249 4 1250 0 1251 0 1252 0 1253 2 1254 0 1255 0 1256 0 1257 2 1258 0 1259 0 1260 0 1261 4 1262 0 1263 0 1264 0 1265 2 1266 0 1267 1 1268 0 1269 0 1270 0 1271 0 1272 0 1273 0 1274 0 1275 0 1276 0 1277 0 1278 0 1279 0 1280 0 1281 2 1282 0 1283 0 1284 0 1285 1 1286 0 1287 0 1288 0 1289 3 1290 0 1291 1 1292 0 1293 1 1294 0 1295 0 1296 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28642 0 28643 0 28644 0 28645 0 28646 0 28647 0 28648 0 28649 0 28650 0 28651 0 28652 0 28653 0 28654 0 28655 0 28656 0 28657 0 28658 0 28659 0 28660 0 28661 0 28662 0 28663 0 28664 0 28665 0 28666 0 28667 0 28668 0 28669 0 28670 0 28671 0 28672 0 28673 0 28674 0 28675 0 28676 0 28677 0 28678 0 28679 0 28680 0 28681 0 28682 0 28683 0 28684 0 28685 0 28686 0 28687 0 28688 0 28689 0 28690 0 28691 0 28692 0 28693 0 28694 0 28695 0 28696 0 28697 0 28698 0 28699 0 28700 0 28701 0 28702 0 28703 0 28704 0 28705 0 28706 0 28707 0 28708 0 28709 0 28710 0 28711 0 28712 0 28713 0 28714 0 28715 0 28716 0 28717 0 28718 0 28719 0 28720 0 28721 0 28722 0 28723 0 28724 0 28725 0 28726 0 28727 0 28728 0 28729 0 28730 0 28731 0 28732 0 28733 0 28734 0 28735 0 28736 0 28737 0 28738 0 28739 0 28740 0 28741 0 28742 0 28743 0 28744 0 28745 0 28746 0 28747 0 28748 0 28749 0 28750 0 28751 0 28752 0 28753 0 28754 0 28755 0 28756 0 28757 0 28758 0 28759 0 28760 0 28761 0 28762 0 28763 0 28764 0 28765 0 28766 0 28767 0 28768 0 28769 0 28770 0 28771 0 28772 0 28773 0 28774 0 28775 0 28776 0 28777 0 28778 0 28779 0 28780 0 28781 0 28782 0 28783 0 28784 0 28785 0 28786 0 28787 0 28788 0 28789 0 28790 0 28791 0 28792 0 28793 0 28794 0 28795 0 28796 0 28797 0 28798 0 28799 0 28800 0 28801 0 28802 0 28803 0 28804 0 28805 0 28806 0 28807 0 28808 0 28809 0 28810 0 28811 0 28812 0 28813 0 28814 0 28815 0 28816 0 28817 0 28818 0 28819 0 28820 0 28821 0 28822 0 28823 0 28824 0 28825 0 28826 0 28827 0 28828 0 28829 0 28830 0 28831 0 28832 0 28833 0 28834 0 28835 0 28836 0 28837 0 28838 0 28839 0 28840 0 28841 0 28842 0 28843 0 28844 0 28845 0 28846 0 28847 0 28848 0 28849 0 28850 0 28851 0 28852 0 28853 0 28854 0 28855 0 28856 0 28857 0 28858 0 28859 0 28860 0 28861 0 28862 0 28863 0 28864 0 28865 0 28866 0 28867 0 28868 0 28869 0 28870 0 28871 0 28872 0 28873 0 28874 0 28875 0 28876 0 28877 0 28878 0 28879 0 28880 0 28881 0 28882 0 28883 0 28884 0 28885 0 28886 0 28887 0 28888 0 28889 0 28890 0 28891 0 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29017 0 29018 0 29019 0 29020 0 29021 0 29022 0 29023 0 29024 0 29025 0 29026 0 29027 0 29028 0 29029 0 29030 0 29031 0 29032 0 29033 0 29034 0 29035 0 29036 0 29037 0 29038 0 29039 0 29040 0 29041 0 29042 0 29043 0 29044 0 29045 0 29046 0 29047 0 29048 0 29049 0 29050 0 29051 0 29052 0 29053 0 29054 0 29055 0 29056 0 29057 0 29058 0 29059 0 29060 0 29061 0 29062 0 29063 0 29064 0 29065 0 29066 0 29067 0 29068 0 29069 0 29070 0 29071 0 29072 0 29073 0 29074 0 29075 0 29076 0 29077 0 29078 0 29079 0 29080 0 29081 0 29082 0 29083 0 29084 0 29085 0 29086 0 29087 0 29088 0 29089 0 29090 0 29091 0 29092 0 29093 0 29094 0 29095 0 29096 0 29097 0 29098 0 29099 0 29100 0 29101 0 29102 0 29103 0 29104 0 29105 0 29106 0 29107 0 29108 0 29109 0 29110 0 29111 0 29112 0 29113 0 29114 0 29115 0 29116 0 29117 0 29118 0 29119 0 29120 0 29121 0 29122 0 29123 0 29124 0 29125 0 29126 0 29127 0 29128 0 29129 0 29130 0 29131 0 29132 0 29133 0 29134 0 29135 0 29136 0 29137 0 29138 0 29139 0 29140 0 29141 0 29142 0 29143 0 29144 0 29145 0 29146 0 29147 0 29148 0 29149 0 29150 0 29151 0 29152 0 29153 0 29154 0 29155 0 29156 0 29157 0 29158 0 29159 0 29160 0 29161 0 29162 0 29163 0 29164 0 29165 0 29166 0 29167 0 29168 0 29169 0 29170 0 29171 0 29172 0 29173 0 29174 0 29175 0 29176 0 29177 0 29178 0 29179 0 29180 0 29181 0 29182 0 29183 0 29184 0 29185 0 29186 0 29187 0 29188 0 29189 0 29190 0 29191 0 29192 0 29193 0 29194 0 29195 0 29196 0 29197 0 29198 0 29199 0 29200 0 29201 0 29202 0 29203 0 29204 0 29205 0 29206 0 29207 0 29208 0 29209 0 29210 0 29211 0 29212 0 29213 0 29214 0 29215 0 29216 0 29217 0 29218 0 29219 0 29220 0 29221 0 29222 0 29223 0 29224 0 29225 0 29226 0 29227 0 29228 0 29229 0 29230 0 29231 0 29232 0 29233 0 29234 0 29235 0 29236 0 29237 0 29238 0 29239 0 29240 0 29241 0 29242 0 29243 0 29244 0 29245 0 29246 0 29247 0 29248 0 29249 0 29250 0 29251 0 29252 0 29253 0 29254 0 29255 0 29256 0 29257 0 29258 0 29259 0 29260 0 29261 0 29262 0 29263 0 29264 0 29265 0 29266 0 29267 0 29268 0 29269 0 29270 0 29271 0 29272 0 29273 0 29274 0 29275 0 29276 0 29277 0 29278 0 29279 0 29280 0 29281 0 29282 0 29283 0 29284 0 29285 0 29286 0 29287 0 29288 0 29289 0 29290 0 29291 0 29292 0 29293 0 29294 0 29295 0 29296 0 29297 0 29298 0 29299 0 29300 0 29301 0 29302 0 29303 0 29304 0 29305 0 29306 0 29307 0 29308 0 29309 0 29310 0 29311 0 29312 0 29313 0 29314 0 29315 0 29316 0 29317 0 29318 0 29319 0 29320 0 29321 0 29322 0 29323 0 29324 0 29325 0 29326 0 29327 0 29328 0 29329 0 29330 0 29331 0 29332 0 29333 0 29334 0 29335 0 29336 0 29337 0 29338 0 29339 0 29340 0 29341 0 29342 0 29343 0 29344 0 29345 0 29346 0 29347 0 29348 0 29349 0 29350 0 29351 0 29352 0 29353 0 29354 0 29355 0 29356 0 29357 0 29358 0 29359 0 29360 0 29361 0 29362 0 29363 0 29364 0 29365 0 29366 0 29367 0 29368 0 29369 0 29370 0 29371 0 29372 0 29373 0 29374 0 29375 0 29376 0 29377 0 29378 0 29379 0 29380 0 29381 0 29382 0 29383 0 29384 0 29385 0 29386 0 29387 0 29388 0 29389 0 29390 0 29391 0 29392 0 29393 0 29394 0 29395 0 29396 0 29397 0 29398 0 29399 0 29400 0 29401 0 29402 0 29403 0 29404 0 29405 0 29406 0 29407 0 29408 0 29409 0 29410 0 29411 0 29412 0 29413 0 29414 0 29415 0 29416 0 29417 0 29418 0 29419 0 29420 0 29421 0 29422 0 29423 0 29424 0 29425 0 29426 0 29427 0 29428 0 29429 0 29430 0 29431 0 29432 0 29433 0 29434 0 29435 0 29436 0 29437 0 29438 0 29439 0 29440 0 29441 0 29442 0 29443 0 29444 0 29445 0 29446 0 29447 0 29448 0 29449 0 29450 0 29451 0 29452 0 29453 0 29454 0 29455 0 29456 0 29457 0 29458 0 29459 0 29460 0 29461 0 29462 0 29463 0 29464 0 29465 0 29466 0 29467 0 29468 0 29469 0 29470 0 29471 0 29472 0 29473 0 29474 0 29475 0 29476 0 29477 0 29478 0 29479 0 29480 0 29481 0 29482 0 29483 0 29484 0 29485 0 29486 0 29487 0 29488 0 29489 0 29490 0 29491 0 29492 0 29493 0 29494 0 29495 0 29496 0 29497 0 29498 0 29499 0 29500 0 29501 0 29502 0 29503 0 29504 0 29505 0 29506 0 29507 0 29508 0 29509 0 29510 0 29511 0 29512 0 29513 0 29514 0 29515 0 29516 0 29517 0 29518 0 29519 0 29520 0 29521 0 29522 0 29523 0 29524 0 29525 0 29526 0 29527 0 29528 0 29529 0 29530 0 29531 0 29532 0 29533 0 29534 0 29535 0 29536 0 29537 0 29538 0 29539 0 29540 0 29541 0 29542 0 29543 0 29544 0 29545 0 29546 0 29547 0 29548 0 29549 0 29550 0 29551 0 29552 0 29553 0 29554 0 29555 0 29556 0 29557 0 29558 0 29559 0 29560 0 29561 0 29562 0 29563 0 29564 0 29565 0 29566 0 29567 0 29568 0 29569 0 29570 0 29571 0 29572 0 29573 0 29574 0 29575 0 29576 0 29577 0 29578 0 29579 0 29580 0 29581 0 29582 0 29583 0 29584 0 29585 0 29586 0 29587 0 29588 0 29589 0 29590 0 29591 0 29592 0 29593 0 29594 0 29595 0 29596 0 29597 0 29598 0 29599 0 29600 0 29601 0 29602 0 29603 0 29604 0 29605 0 29606 0 29607 0 29608 0 29609 0 29610 0 29611 0 29612 0 29613 0 29614 0 29615 0 29616 0 29617 0 29618 0 29619 0 29620 0 29621 0 29622 0 29623 0 29624 0 29625 0 29626 0 29627 0 29628 0 29629 0 29630 0 29631 0 29632 0 29633 0 29634 0 29635 0 29636 0 29637 0 29638 0 29639 0 29640 0 29641 0 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29767 0 29768 0 29769 0 29770 0 29771 0 29772 0 29773 0 29774 0 29775 0 29776 0 29777 0 29778 0 29779 0 29780 0 29781 0 29782 0 29783 0 29784 0 29785 0 29786 0 29787 0 29788 0 29789 0 29790 0 29791 0 29792 0 29793 0 29794 0 29795 0 29796 0 29797 0 29798 0 29799 0 29800 0 29801 0 29802 0 29803 0 29804 0 29805 0 29806 0 29807 0 29808 0 29809 0 29810 0 29811 0 29812 0 29813 0 29814 0 29815 0 29816 0 29817 0 29818 0 29819 0 29820 0 29821 0 29822 0 29823 0 29824 0 29825 0 29826 0 29827 0 29828 0 29829 0 29830 0 29831 0 29832 0 29833 0 29834 0 29835 0 29836 0 29837 0 29838 0 29839 0 29840 0 29841 0 29842 0 29843 0 29844 0 29845 0 29846 0 29847 0 29848 0 29849 0 29850 0 29851 0 29852 0 29853 0 29854 0 29855 0 29856 0 29857 0 29858 0 29859 0 29860 0 29861 0 29862 0 29863 0 29864 0 29865 0 29866 0 29867 0 29868 0 29869 0 29870 0 29871 0 29872 0 29873 0 29874 0 29875 0 29876 0 29877 0 29878 0 29879 0 29880 0 29881 0 29882 0 29883 0 29884 0 29885 0 29886 0 29887 0 29888 0 29889 0 29890 0 29891 0 29892 0 29893 0 29894 0 29895 0 29896 0 29897 0 29898 0 29899 0 29900 0 29901 0 29902 0 29903 0 29904 0 29905 0 29906 0 29907 0 29908 0 29909 0 29910 0 29911 0 29912 0 29913 0 29914 0 29915 0 29916 0 29917 0 29918 0 29919 0 29920 0 29921 0 29922 0 29923 0 29924 0 29925 0 29926 0 29927 0 29928 0 29929 0 29930 0 29931 0 29932 0 29933 0 29934 0 29935 0 29936 0 29937 0 29938 0 29939 0 29940 0 29941 0 29942 0 29943 0 29944 0 29945 0 29946 0 29947 0 29948 0 29949 0 29950 0 29951 0 29952 0 29953 0 29954 0 29955 0 29956 0 29957 0 29958 0 29959 0 29960 0 29961 0 29962 0 29963 0 29964 0 29965 0 29966 0 29967 0 29968 0 29969 0 29970 0 29971 0 29972 0 29973 0 29974 0 29975 0 29976 0 29977 0 29978 0 29979 0 29980 0 29981 0 29982 0 29983 0 29984 0 29985 0 29986 0 29987 0 29988 0 29989 0 29990 0 29991 0 29992 0 29993 0 29994 0 29995 0 29996 0 29997 0 29998 0 29999 0 30000 0 31: Average symbolic conclusion length is 4904484/4123 ≈ 1189.54. (Median: 669) There are 3 minimal D-proofs with conclusions of even symbolic length, and there are 4120 minimal D-proofs with conclusions of odd symbolic length. [3/4123 ≈ 0.07% even] 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 10 0 11 0 12 0 13 0 14 0 15 0 16 0 17 0 18 0 19 1 20 0 21 0 22 0 23 0 24 0 25 0 26 0 27 0 28 0 29 0 30 0 31 0 32 0 33 0 34 0 35 0 36 0 37 0 38 0 39 1 40 0 41 2 42 0 43 1 44 0 45 6 46 0 47 4 48 0 49 1 50 0 51 0 52 0 53 3 54 0 55 1 56 0 57 1 58 0 59 2 60 0 61 3 62 0 63 0 64 0 65 3 66 0 67 3 68 0 69 3 70 0 71 1 72 0 73 3 74 0 75 2 76 0 77 3 78 0 79 2 80 0 81 1 82 0 83 1 84 0 85 4 86 0 87 5 88 0 89 1 90 0 91 4 92 0 93 4 94 0 95 3 96 0 97 8 98 0 99 4 100 0 101 12 102 0 103 3 104 0 105 8 106 0 107 1 108 0 109 4 110 0 111 5 112 0 113 3 114 0 115 4 116 0 117 2 118 1 119 2 120 0 121 2 122 0 123 4 124 0 125 5 126 0 127 1 128 0 129 6 130 0 131 2 132 0 133 7 134 0 135 5 136 0 137 13 138 0 139 7 140 0 141 11 142 0 143 4 144 0 145 5 146 0 147 5 148 0 149 5 150 0 151 0 152 0 153 10 154 0 155 6 156 0 157 7 158 0 159 5 160 0 161 6 162 0 163 3 164 0 165 11 166 0 167 3 168 0 169 3 170 0 171 5 172 0 173 12 174 0 175 2 176 0 177 12 178 0 179 6 180 0 181 6 182 0 183 3 184 0 185 7 186 0 187 4 188 0 189 6 190 0 191 2 192 0 193 9 194 0 195 3 196 0 197 9 198 0 199 4 200 0 201 7 202 0 203 3 204 0 205 12 206 0 207 1 208 0 209 8 210 0 211 4 212 0 213 5 214 0 215 2 216 0 217 7 218 0 219 3 220 0 221 13 222 0 223 5 224 0 225 8 226 0 227 1 228 0 229 12 230 0 231 4 232 0 233 11 234 0 235 4 236 0 237 16 238 0 239 3 240 0 241 10 242 0 243 1 244 0 245 11 246 0 247 3 248 0 249 12 250 0 251 10 252 0 253 12 254 0 255 6 256 0 257 14 258 0 259 4 260 0 261 13 262 0 263 5 264 0 265 19 266 0 267 2 268 0 269 6 270 0 271 7 272 0 273 14 274 0 275 2 276 0 277 14 278 0 279 0 280 0 281 8 282 0 283 3 284 0 285 10 286 0 287 3 288 0 289 9 290 0 291 7 292 0 293 13 294 0 295 1 296 0 297 14 298 0 299 4 300 0 301 16 302 0 303 2 304 0 305 8 306 0 307 1 308 0 309 10 310 0 311 9 312 0 313 9 314 0 315 7 316 0 317 11 318 0 319 3 320 0 321 16 322 0 323 6 324 0 325 23 326 0 327 6 328 0 329 19 330 0 331 2 332 0 333 15 334 0 335 1 336 0 337 15 338 0 339 1 340 0 341 15 342 0 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668 0 669 11 670 0 671 1 672 0 673 11 674 0 675 2 676 0 677 9 678 0 679 1 680 0 681 8 682 0 683 1 684 0 685 11 686 0 687 5 688 0 689 12 690 0 691 1 692 0 693 4 694 0 695 2 696 0 697 13 698 0 699 6 700 0 701 9 702 0 703 0 704 0 705 7 706 0 707 2 708 0 709 7 710 0 711 1 712 0 713 15 714 0 715 2 716 0 717 8 718 0 719 1 720 0 721 2 722 0 723 1 724 0 725 9 726 0 727 1 728 0 729 8 730 0 731 2 732 0 733 5 734 0 735 2 736 0 737 4 738 0 739 1 740 0 741 6 742 0 743 0 744 0 745 10 746 0 747 0 748 0 749 8 750 0 751 1 752 0 753 9 754 0 755 1 756 0 757 10 758 0 759 0 760 0 761 5 762 0 763 1 764 0 765 6 766 0 767 2 768 0 769 5 770 0 771 0 772 0 773 2 774 0 775 0 776 0 777 6 778 0 779 1 780 0 781 8 782 0 783 1 784 0 785 8 786 0 787 1 788 0 789 7 790 0 791 0 792 0 793 10 794 0 795 1 796 0 797 6 798 0 799 1 800 0 801 6 802 0 803 1 804 0 805 4 806 0 807 0 808 0 809 10 810 0 811 1 812 0 813 4 814 0 815 3 816 0 817 7 818 0 819 1 820 0 821 7 822 0 823 2 824 0 825 3 826 0 827 0 828 0 829 12 830 0 831 2 832 0 833 7 834 0 835 1 836 0 837 3 838 0 839 4 840 0 841 9 842 0 843 0 844 0 845 3 846 0 847 0 848 0 849 5 850 0 851 1 852 0 853 6 854 0 855 1 856 0 857 8 858 0 859 0 860 0 861 10 862 0 863 6 864 0 865 9 866 0 867 1 868 0 869 5 870 0 871 2 872 0 873 5 874 0 875 0 876 0 877 5 878 0 879 1 880 0 881 5 882 0 883 0 884 0 885 6 886 0 887 1 888 0 889 6 890 0 891 1 892 0 893 8 894 0 895 1 896 0 897 4 898 0 899 0 900 0 901 8 902 0 903 0 904 0 905 5 906 0 907 1 908 0 909 3 910 0 911 0 912 0 913 7 914 0 915 0 916 0 917 4 918 0 919 0 920 0 921 2 922 0 923 0 924 0 925 5 926 0 927 1 928 0 929 3 930 0 931 2 932 0 933 7 934 0 935 0 936 0 937 6 938 0 939 0 940 0 941 5 942 0 943 0 944 0 945 4 946 0 947 1 948 0 949 9 950 0 951 0 952 0 953 5 954 0 955 2 956 0 957 4 958 0 959 0 960 0 961 6 962 0 963 0 964 0 965 3 966 0 967 1 968 0 969 9 970 0 971 1 972 0 973 5 974 0 975 1 976 0 977 4 978 0 979 0 980 0 981 8 982 0 983 0 984 0 985 5 986 0 987 2 988 0 989 5 990 0 991 0 992 0 993 5 994 0 995 1 996 0 997 1 998 0 999 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28632 0 28633 0 28634 0 28635 0 28636 0 28637 0 28638 0 28639 0 28640 0 28641 0 28642 0 28643 0 28644 0 28645 0 28646 0 28647 0 28648 0 28649 0 28650 0 28651 0 28652 0 28653 0 28654 0 28655 0 28656 0 28657 0 28658 0 28659 0 28660 0 28661 0 28662 0 28663 0 28664 0 28665 0 28666 0 28667 0 28668 0 28669 0 28670 0 28671 0 28672 0 28673 0 28674 0 28675 0 28676 0 28677 0 28678 0 28679 0 28680 0 28681 0 28682 0 28683 0 28684 0 28685 0 28686 0 28687 0 28688 0 28689 0 28690 0 28691 0 28692 0 28693 0 28694 0 28695 0 28696 0 28697 0 28698 0 28699 0 28700 0 28701 0 28702 0 28703 0 28704 0 28705 0 28706 0 28707 0 28708 0 28709 0 28710 0 28711 0 28712 0 28713 0 28714 0 28715 0 28716 0 28717 0 28718 0 28719 0 28720 0 28721 0 28722 0 28723 0 28724 0 28725 0 28726 0 28727 0 28728 0 28729 0 28730 0 28731 0 28732 0 28733 0 28734 0 28735 0 28736 0 28737 0 28738 0 28739 0 28740 0 28741 0 28742 0 28743 0 28744 0 28745 0 28746 0 28747 0 28748 0 28749 0 28750 0 28751 0 28752 0 28753 0 28754 0 28755 0 28756 0 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29007 0 29008 0 29009 0 29010 0 29011 0 29012 0 29013 0 29014 0 29015 0 29016 0 29017 0 29018 0 29019 0 29020 0 29021 0 29022 0 29023 0 29024 0 29025 0 29026 0 29027 0 29028 0 29029 0 29030 0 29031 0 29032 0 29033 0 29034 0 29035 0 29036 0 29037 0 29038 0 29039 0 29040 0 29041 0 29042 0 29043 0 29044 0 29045 0 29046 0 29047 0 29048 0 29049 0 29050 0 29051 0 29052 0 29053 0 29054 0 29055 0 29056 0 29057 0 29058 0 29059 0 29060 0 29061 0 29062 0 29063 0 29064 0 29065 0 29066 0 29067 0 29068 0 29069 0 29070 0 29071 0 29072 0 29073 0 29074 0 29075 0 29076 0 29077 0 29078 0 29079 0 29080 0 29081 0 29082 0 29083 0 29084 0 29085 0 29086 0 29087 0 29088 0 29089 0 29090 0 29091 0 29092 0 29093 0 29094 0 29095 0 29096 0 29097 0 29098 0 29099 0 29100 0 29101 0 29102 0 29103 0 29104 0 29105 0 29106 0 29107 0 29108 0 29109 0 29110 0 29111 0 29112 0 29113 0 29114 0 29115 0 29116 0 29117 0 29118 0 29119 0 29120 0 29121 0 29122 0 29123 0 29124 0 29125 0 29126 0 29127 0 29128 0 29129 0 29130 0 29131 0 29132 0 29133 0 29134 0 29135 0 29136 0 29137 0 29138 0 29139 0 29140 0 29141 0 29142 0 29143 0 29144 0 29145 0 29146 0 29147 0 29148 0 29149 0 29150 0 29151 0 29152 0 29153 0 29154 0 29155 0 29156 0 29157 0 29158 0 29159 0 29160 0 29161 0 29162 0 29163 0 29164 0 29165 0 29166 0 29167 0 29168 0 29169 0 29170 0 29171 0 29172 0 29173 0 29174 0 29175 0 29176 0 29177 0 29178 0 29179 0 29180 0 29181 0 29182 0 29183 0 29184 0 29185 0 29186 0 29187 0 29188 0 29189 0 29190 0 29191 0 29192 0 29193 0 29194 0 29195 0 29196 0 29197 0 29198 0 29199 0 29200 0 29201 0 29202 0 29203 0 29204 0 29205 0 29206 0 29207 0 29208 0 29209 0 29210 0 29211 0 29212 0 29213 0 29214 0 29215 0 29216 0 29217 0 29218 0 29219 0 29220 0 29221 0 29222 0 29223 0 29224 0 29225 0 29226 0 29227 0 29228 0 29229 0 29230 0 29231 0 29232 0 29233 0 29234 0 29235 0 29236 0 29237 0 29238 0 29239 0 29240 0 29241 0 29242 0 29243 0 29244 0 29245 0 29246 0 29247 0 29248 0 29249 0 29250 0 29251 0 29252 0 29253 0 29254 0 29255 0 29256 0 29257 0 29258 0 29259 0 29260 0 29261 0 29262 0 29263 0 29264 0 29265 0 29266 0 29267 0 29268 0 29269 0 29270 0 29271 0 29272 0 29273 0 29274 0 29275 0 29276 0 29277 0 29278 0 29279 0 29280 0 29281 0 29282 0 29283 0 29284 0 29285 0 29286 0 29287 0 29288 0 29289 0 29290 0 29291 0 29292 0 29293 0 29294 0 29295 0 29296 0 29297 0 29298 0 29299 0 29300 0 29301 0 29302 0 29303 0 29304 0 29305 0 29306 0 29307 0 29308 0 29309 0 29310 0 29311 0 29312 0 29313 0 29314 0 29315 0 29316 0 29317 0 29318 0 29319 0 29320 0 29321 0 29322 0 29323 0 29324 0 29325 0 29326 0 29327 0 29328 0 29329 0 29330 0 29331 0 29332 0 29333 0 29334 0 29335 0 29336 0 29337 0 29338 0 29339 0 29340 0 29341 0 29342 0 29343 0 29344 0 29345 0 29346 0 29347 0 29348 0 29349 0 29350 0 29351 0 29352 0 29353 0 29354 0 29355 0 29356 0 29357 0 29358 0 29359 0 29360 0 29361 0 29362 0 29363 0 29364 0 29365 0 29366 0 29367 0 29368 0 29369 0 29370 0 29371 0 29372 0 29373 0 29374 0 29375 0 29376 0 29377 0 29378 0 29379 0 29380 0 29381 0 29382 0 29383 0 29384 0 29385 0 29386 0 29387 0 29388 0 29389 0 29390 0 29391 0 29392 0 29393 0 29394 0 29395 0 29396 0 29397 0 29398 0 29399 0 29400 0 29401 0 29402 0 29403 0 29404 0 29405 0 29406 0 29407 0 29408 0 29409 0 29410 0 29411 0 29412 0 29413 0 29414 0 29415 0 29416 0 29417 0 29418 0 29419 0 29420 0 29421 0 29422 0 29423 0 29424 0 29425 0 29426 0 29427 0 29428 0 29429 0 29430 0 29431 0 29432 0 29433 0 29434 0 29435 0 29436 0 29437 0 29438 0 29439 0 29440 0 29441 0 29442 0 29443 0 29444 0 29445 0 29446 0 29447 0 29448 0 29449 0 29450 0 29451 0 29452 0 29453 0 29454 0 29455 0 29456 0 29457 0 29458 0 29459 0 29460 0 29461 0 29462 0 29463 0 29464 0 29465 0 29466 0 29467 0 29468 0 29469 0 29470 0 29471 0 29472 0 29473 0 29474 0 29475 0 29476 0 29477 0 29478 0 29479 0 29480 0 29481 0 29482 0 29483 0 29484 0 29485 0 29486 0 29487 0 29488 0 29489 0 29490 0 29491 0 29492 0 29493 0 29494 0 29495 0 29496 0 29497 0 29498 0 29499 0 29500 0 29501 0 29502 0 29503 0 29504 0 29505 0 29506 0 29507 0 29508 0 29509 0 29510 0 29511 0 29512 0 29513 0 29514 0 29515 0 29516 0 29517 0 29518 0 29519 0 29520 0 29521 0 29522 0 29523 0 29524 0 29525 0 29526 0 29527 0 29528 0 29529 0 29530 0 29531 0 29532 0 29533 0 29534 0 29535 0 29536 0 29537 0 29538 0 29539 0 29540 0 29541 0 29542 0 29543 0 29544 0 29545 0 29546 0 29547 0 29548 0 29549 0 29550 0 29551 0 29552 0 29553 0 29554 0 29555 0 29556 0 29557 0 29558 0 29559 0 29560 0 29561 0 29562 0 29563 0 29564 0 29565 0 29566 0 29567 0 29568 0 29569 0 29570 0 29571 0 29572 0 29573 0 29574 0 29575 0 29576 0 29577 0 29578 0 29579 0 29580 0 29581 0 29582 0 29583 0 29584 0 29585 0 29586 0 29587 0 29588 0 29589 0 29590 0 29591 0 29592 0 29593 0 29594 0 29595 0 29596 0 29597 0 29598 0 29599 0 29600 0 29601 0 29602 0 29603 0 29604 0 29605 0 29606 0 29607 0 29608 0 29609 0 29610 0 29611 0 29612 0 29613 0 29614 0 29615 0 29616 0 29617 0 29618 0 29619 0 29620 0 29621 0 29622 0 29623 0 29624 0 29625 0 29626 0 29627 0 29628 0 29629 0 29630 0 29631 0 29632 0 29633 0 29634 0 29635 0 29636 0 29637 0 29638 0 29639 0 29640 0 29641 0 29642 0 29643 0 29644 0 29645 0 29646 0 29647 0 29648 0 29649 0 29650 0 29651 0 29652 0 29653 0 29654 0 29655 0 29656 0 29657 0 29658 0 29659 0 29660 0 29661 0 29662 0 29663 0 29664 0 29665 0 29666 0 29667 0 29668 0 29669 0 29670 0 29671 0 29672 0 29673 0 29674 0 29675 0 29676 0 29677 0 29678 0 29679 0 29680 0 29681 0 29682 0 29683 0 29684 0 29685 0 29686 0 29687 0 29688 0 29689 0 29690 0 29691 0 29692 0 29693 0 29694 0 29695 0 29696 0 29697 0 29698 0 29699 0 29700 0 29701 0 29702 0 29703 0 29704 0 29705 0 29706 0 29707 0 29708 0 29709 0 29710 0 29711 0 29712 0 29713 0 29714 0 29715 0 29716 0 29717 0 29718 0 29719 0 29720 0 29721 0 29722 0 29723 0 29724 0 29725 0 29726 0 29727 0 29728 0 29729 0 29730 0 29731 0 29732 0 29733 0 29734 0 29735 0 29736 0 29737 0 29738 0 29739 0 29740 0 29741 0 29742 0 29743 0 29744 0 29745 0 29746 0 29747 0 29748 0 29749 0 29750 0 29751 0 29752 0 29753 0 29754 0 29755 0 29756 0 29757 0 29758 0 29759 0 29760 0 29761 0 29762 0 29763 0 29764 0 29765 0 29766 0 29767 0 29768 0 29769 0 29770 0 29771 0 29772 0 29773 0 29774 0 29775 0 29776 0 29777 0 29778 0 29779 0 29780 0 29781 0 29782 0 29783 0 29784 0 29785 0 29786 0 29787 0 29788 0 29789 0 29790 0 29791 0 29792 0 29793 0 29794 0 29795 0 29796 0 29797 0 29798 0 29799 0 29800 0 29801 0 29802 0 29803 0 29804 0 29805 0 29806 0 29807 0 29808 0 29809 0 29810 0 29811 0 29812 0 29813 0 29814 0 29815 0 29816 0 29817 0 29818 0 29819 0 29820 0 29821 0 29822 0 29823 0 29824 0 29825 0 29826 0 29827 0 29828 0 29829 0 29830 0 29831 0 29832 0 29833 0 29834 0 29835 0 29836 0 29837 0 29838 0 29839 0 29840 0 29841 0 29842 0 29843 0 29844 0 29845 0 29846 0 29847 0 29848 0 29849 0 29850 0 29851 0 29852 0 29853 0 29854 0 29855 0 29856 0 29857 0 29858 0 29859 0 29860 0 29861 0 29862 0 29863 0 29864 0 29865 0 29866 0 29867 0 29868 0 29869 0 29870 0 29871 0 29872 0 29873 0 29874 0 29875 0 29876 0 29877 0 29878 0 29879 0 29880 0 29881 0 29882 0 29883 0 29884 0 29885 0 29886 0 29887 0 29888 0 29889 0 29890 0 29891 0 29892 0 29893 0 29894 0 29895 0 29896 0 29897 0 29898 0 29899 0 29900 0 29901 0 29902 0 29903 0 29904 0 29905 0 29906 0 29907 0 29908 0 29909 0 29910 0 29911 0 29912 0 29913 0 29914 0 29915 0 29916 0 29917 0 29918 0 29919 0 29920 0 29921 0 29922 0 29923 0 29924 0 29925 0 29926 0 29927 0 29928 0 29929 0 29930 0 29931 0 29932 0 29933 0 29934 0 29935 0 29936 0 29937 0 29938 0 29939 0 29940 0 29941 0 29942 0 29943 0 29944 0 29945 0 29946 0 29947 0 29948 0 29949 0 29950 0 29951 0 29952 0 29953 0 29954 0 29955 0 29956 0 29957 0 29958 0 29959 0 29960 0 29961 0 29962 0 29963 0 29964 0 29965 0 29966 0 29967 0 29968 0 29969 0 29970 0 29971 0 29972 0 29973 0 29974 0 29975 0 29976 0 29977 0 29978 0 29979 0 29980 0 29981 0 29982 0 29983 0 29984 0 29985 0 29986 0 29987 0 29988 0 29989 0 29990 0 29991 0 29992 0 29993 0 29994 0 29995 0 29996 0 29997 0 29998 0 29999 0 30000 0 33: Average symbolic conclusion length is 11577962/8112 ≈ 1427.26. (Median: 805) There are 8 minimal D-proofs with conclusions of even symbolic length, and there are 8104 minimal D-proofs with conclusions of odd symbolic length. [8/8112 ≈ 0.10% even] 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 10 0 11 0 12 0 13 0 14 0 15 0 16 0 17 0 18 0 19 0 20 0 21 0 22 0 23 0 24 0 25 0 26 1 27 0 28 0 29 0 30 0 31 0 32 0 33 0 34 0 35 1 36 0 37 1 38 0 39 1 40 0 41 1 42 0 43 0 44 0 45 1 46 0 47 0 48 0 49 1 50 0 51 1 52 0 53 0 54 0 55 1 56 0 57 2 58 0 59 5 60 0 61 4 62 0 63 6 64 0 65 6 66 0 67 2 68 0 69 2 70 0 71 1 72 0 73 4 74 0 75 5 76 0 77 2 78 0 79 1 80 1 81 3 82 0 83 7 84 0 85 15 86 0 87 4 88 0 89 14 90 0 91 9 92 0 93 6 94 0 95 7 96 0 97 4 98 0 99 4 100 0 101 9 102 0 103 7 104 0 105 8 106 0 107 5 108 0 109 5 110 0 111 7 112 0 113 11 114 0 115 8 116 0 117 8 118 0 119 5 120 0 121 8 122 0 123 6 124 0 125 10 126 0 127 5 128 0 129 8 130 0 131 7 132 0 133 8 134 0 135 6 136 0 137 4 138 0 139 7 140 0 141 15 142 0 143 4 144 0 145 9 146 0 147 5 148 0 149 14 150 0 151 11 152 0 153 18 154 0 155 5 156 0 157 9 158 0 159 2 160 0 161 17 162 0 163 5 164 0 165 13 166 0 167 9 168 1 169 7 170 0 171 4 172 0 173 20 174 0 175 7 176 0 177 17 178 0 179 5 180 0 181 20 182 0 183 4 184 0 185 16 186 0 187 11 188 0 189 15 190 0 191 9 192 1 193 13 194 1 195 10 196 0 197 16 198 0 199 7 200 0 201 17 202 0 203 3 204 0 205 17 206 0 207 5 208 0 209 13 210 0 211 5 212 0 213 18 214 0 215 10 216 0 217 25 218 0 219 5 220 0 221 20 222 0 223 15 224 0 225 15 226 0 227 7 228 0 229 14 230 0 231 9 232 0 233 14 234 0 235 3 236 0 237 19 238 0 239 4 240 0 241 16 242 0 243 5 244 0 245 18 246 0 247 2 248 0 249 19 250 0 251 6 252 0 253 21 254 0 255 5 256 0 257 18 258 0 259 8 260 0 261 14 262 0 263 6 264 0 265 18 266 0 267 7 268 0 269 25 270 0 271 3 272 0 273 14 274 0 275 8 276 0 277 14 278 0 279 1 280 0 281 18 282 0 283 6 284 0 285 16 286 0 287 9 288 0 289 20 290 0 291 6 292 0 293 11 294 0 295 6 296 0 297 12 298 0 299 5 300 0 301 16 302 0 303 7 304 0 305 19 306 0 307 5 308 0 309 25 310 0 311 8 312 0 313 19 314 0 315 3 316 0 317 23 318 0 319 6 320 0 321 16 322 0 323 3 324 0 325 25 326 0 327 9 328 0 329 15 330 0 331 7 332 0 333 17 334 0 335 11 336 0 337 15 338 0 339 7 340 1 341 14 342 0 343 6 344 0 345 26 346 0 347 4 348 0 349 20 350 0 351 8 352 0 353 22 354 0 355 5 356 0 357 20 358 0 359 5 360 0 361 25 362 1 363 5 364 0 365 19 366 0 367 11 368 0 369 27 370 0 371 17 372 0 373 11 374 0 375 11 376 0 377 21 378 0 379 5 380 0 381 15 382 0 383 4 384 0 385 22 386 0 387 3 388 0 389 22 390 0 391 4 392 0 393 18 394 0 395 8 396 0 397 18 398 0 399 4 400 0 401 21 402 0 403 4 404 0 405 23 406 0 407 4 408 0 409 20 410 0 411 8 412 0 413 15 414 0 415 3 416 0 417 22 418 0 419 3 420 0 421 22 422 0 423 9 424 0 425 17 426 0 427 13 428 0 429 16 430 0 431 0 432 0 433 16 434 0 435 3 436 0 437 23 438 0 439 7 440 0 441 28 442 0 443 4 444 0 445 19 446 0 447 9 448 0 449 27 450 0 451 5 452 0 453 21 454 0 455 10 456 0 457 12 458 0 459 3 460 0 461 14 462 0 463 3 464 0 465 14 466 0 467 7 468 0 469 25 470 0 471 2 472 0 473 11 474 0 475 9 476 0 477 15 478 0 479 12 480 0 481 30 482 0 483 6 484 0 485 17 486 0 487 2 488 0 489 20 490 0 491 9 492 0 493 18 494 0 495 4 496 0 497 13 498 0 499 2 500 0 501 17 502 0 503 5 504 0 505 18 506 0 507 2 508 0 509 24 510 0 511 8 512 0 513 19 514 0 515 7 516 0 517 15 518 0 519 9 520 0 521 23 522 0 523 8 524 0 525 16 526 0 527 4 528 0 529 16 530 0 531 4 532 0 533 22 534 0 535 4 536 0 537 21 538 0 539 7 540 0 541 17 542 0 543 5 544 0 545 13 546 0 547 8 548 0 549 15 550 0 551 9 552 0 553 22 554 0 555 6 556 0 557 23 558 0 559 2 560 0 561 25 562 0 563 5 564 0 565 8 566 0 567 3 568 0 569 23 570 0 571 3 572 0 573 18 574 0 575 5 576 0 577 21 578 0 579 7 580 0 581 23 582 0 583 5 584 0 585 25 586 0 587 7 588 0 589 22 590 0 591 5 592 0 593 12 594 0 595 5 596 0 597 23 598 0 599 0 600 0 601 19 602 0 603 1 604 0 605 18 606 0 607 3 608 0 609 25 610 0 611 3 612 0 613 20 614 0 615 5 616 0 617 16 618 0 619 5 620 0 621 14 622 0 623 3 624 0 625 19 626 0 627 6 628 0 629 16 630 0 631 4 632 0 633 15 634 0 635 3 636 0 637 21 638 0 639 8 640 0 641 22 642 0 643 5 644 0 645 24 646 0 647 3 648 0 649 17 650 0 651 1 652 0 653 17 654 0 655 8 656 0 657 23 658 0 659 2 660 0 661 14 662 0 663 3 664 0 665 17 666 0 667 3 668 0 669 17 670 0 671 3 672 0 673 20 674 0 675 5 676 0 677 12 678 0 679 5 680 0 681 9 682 0 683 2 684 0 685 24 686 0 687 2 688 0 689 13 690 0 691 1 692 0 693 15 694 0 695 3 696 0 697 21 698 0 699 4 700 0 701 13 702 0 703 1 704 0 705 17 706 0 707 6 708 0 709 15 710 0 711 2 712 0 713 13 714 0 715 4 716 0 717 21 718 0 719 4 720 0 721 12 722 0 723 2 724 0 725 12 726 0 727 9 728 0 729 17 730 0 731 1 732 0 733 20 734 0 735 5 736 0 737 17 738 0 739 4 740 0 741 10 742 0 743 6 744 0 745 23 746 0 747 7 748 0 749 21 750 0 751 2 752 0 753 15 754 0 755 5 756 0 757 15 758 0 759 5 760 0 761 16 762 0 763 3 764 0 765 14 766 0 767 3 768 0 769 9 770 0 771 2 772 0 773 8 774 0 775 1 776 0 777 17 778 0 779 2 780 0 781 9 782 0 783 2 784 0 785 18 786 0 787 3 788 1 789 9 790 0 791 2 792 0 793 9 794 0 795 4 796 0 797 10 798 0 799 2 800 0 801 8 802 0 803 4 804 0 805 17 806 0 807 2 808 0 809 9 810 0 811 7 812 0 813 11 814 0 815 2 816 0 817 16 818 0 819 4 820 0 821 9 822 0 823 4 824 0 825 15 826 0 827 3 828 0 829 7 830 0 831 1 832 0 833 12 834 0 835 8 836 0 837 9 838 0 839 2 840 0 841 9 842 0 843 8 844 0 845 10 846 0 847 2 848 0 849 11 850 0 851 2 852 0 853 16 854 0 855 2 856 0 857 24 858 0 859 0 860 0 861 14 862 0 863 6 864 0 865 14 866 0 867 5 868 0 869 20 870 0 871 3 872 0 873 8 874 0 875 5 876 0 877 14 878 0 879 2 880 0 881 15 882 0 883 2 884 0 885 11 886 0 887 3 888 0 889 8 890 0 891 1 892 0 893 13 894 0 895 2 896 0 897 12 898 0 899 3 900 0 901 8 902 0 903 7 904 0 905 11 906 0 907 3 908 0 909 10 910 0 911 2 912 0 913 21 914 0 915 6 916 0 917 13 918 0 919 2 920 0 921 14 922 0 923 3 924 0 925 17 926 0 927 5 928 0 929 11 930 0 931 1 932 0 933 13 934 0 935 0 936 0 937 16 938 0 939 3 940 0 941 14 942 0 943 1 944 0 945 8 946 0 947 5 948 0 949 16 950 0 951 1 952 0 953 11 954 0 955 1 956 0 957 10 958 0 959 3 960 0 961 8 962 0 963 1 964 0 965 9 966 0 967 5 968 0 969 12 970 0 971 0 972 0 973 6 974 0 975 1 976 0 977 13 978 0 979 4 980 0 981 9 982 0 983 2 984 0 985 14 986 0 987 3 988 0 989 8 990 0 991 3 992 0 993 10 994 0 995 1 996 0 997 6 998 0 999 2 1000 0 1001 10 1002 0 1003 1 1004 0 1005 7 1006 0 1007 5 1008 0 1009 17 1010 0 1011 1 1012 0 1013 18 1014 0 1015 2 1016 0 1017 14 1018 0 1019 3 1020 0 1021 16 1022 0 1023 3 1024 0 1025 7 1026 0 1027 3 1028 0 1029 14 1030 0 1031 2 1032 0 1033 13 1034 0 1035 0 1036 0 1037 11 1038 0 1039 2 1040 0 1041 12 1042 0 1043 4 1044 0 1045 6 1046 0 1047 2 1048 0 1049 7 1050 0 1051 1 1052 0 1053 12 1054 0 1055 1 1056 0 1057 10 1058 0 1059 2 1060 0 1061 7 1062 0 1063 0 1064 0 1065 17 1066 0 1067 5 1068 0 1069 7 1070 0 1071 2 1072 0 1073 16 1074 0 1075 3 1076 0 1077 10 1078 0 1079 3 1080 0 1081 11 1082 0 1083 1 1084 0 1085 10 1086 0 1087 0 1088 0 1089 14 1090 0 1091 3 1092 0 1093 14 1094 0 1095 2 1096 0 1097 12 1098 0 1099 2 1100 0 1101 14 1102 0 1103 2 1104 0 1105 17 1106 0 1107 6 1108 0 1109 6 1110 0 1111 0 1112 0 1113 9 1114 0 1115 1 1116 0 1117 13 1118 0 1119 0 1120 0 1121 16 1122 0 1123 1 1124 0 1125 7 1126 0 1127 3 1128 0 1129 13 1130 0 1131 1 1132 0 1133 8 1134 0 1135 0 1136 0 1137 4 1138 0 1139 2 1140 0 1141 7 1142 0 1143 1 1144 0 1145 13 1146 0 1147 2 1148 0 1149 8 1150 0 1151 0 1152 0 1153 11 1154 0 1155 2 1156 0 1157 14 1158 0 1159 2 1160 0 1161 9 1162 0 1163 0 1164 0 1165 8 1166 0 1167 0 1168 0 1169 4 1170 0 1171 0 1172 0 1173 10 1174 0 1175 2 1176 0 1177 16 1178 0 1179 1 1180 0 1181 7 1182 0 1183 2 1184 0 1185 7 1186 0 1187 2 1188 0 1189 6 1190 0 1191 1 1192 0 1193 6 1194 0 1195 2 1196 0 1197 10 1198 0 1199 1 1200 0 1201 7 1202 0 1203 1 1204 0 1205 5 1206 0 1207 0 1208 0 1209 10 1210 0 1211 2 1212 0 1213 6 1214 0 1215 0 1216 0 1217 4 1218 0 1219 1 1220 0 1221 8 1222 0 1223 2 1224 0 1225 6 1226 0 1227 0 1228 0 1229 6 1230 0 1231 1 1232 0 1233 6 1234 0 1235 2 1236 0 1237 8 1238 0 1239 1 1240 0 1241 11 1242 0 1243 1 1244 0 1245 5 1246 0 1247 1 1248 0 1249 4 1250 0 1251 1 1252 0 1253 10 1254 0 1255 0 1256 0 1257 14 1258 0 1259 2 1260 0 1261 11 1262 0 1263 1 1264 0 1265 10 1266 0 1267 1 1268 0 1269 7 1270 0 1271 1 1272 0 1273 9 1274 0 1275 0 1276 0 1277 5 1278 0 1279 1 1280 0 1281 7 1282 0 1283 0 1284 0 1285 7 1286 0 1287 0 1288 0 1289 7 1290 0 1291 1 1292 0 1293 11 1294 0 1295 3 1296 0 1297 8 1298 0 1299 1 1300 0 1301 5 1302 0 1303 0 1304 0 1305 8 1306 0 1307 2 1308 0 1309 8 1310 0 1311 1 1312 0 1313 8 1314 0 1315 2 1316 0 1317 5 1318 0 1319 4 1320 0 1321 12 1322 0 1323 2 1324 0 1325 5 1326 0 1327 1 1328 0 1329 10 1330 0 1331 1 1332 0 1333 1 1334 0 1335 1 1336 0 1337 10 1338 0 1339 0 1340 0 1341 3 1342 0 1343 3 1344 0 1345 10 1346 0 1347 0 1348 0 1349 4 1350 0 1351 2 1352 0 1353 13 1354 0 1355 2 1356 0 1357 9 1358 0 1359 1 1360 0 1361 2 1362 0 1363 2 1364 0 1365 8 1366 0 1367 0 1368 0 1369 7 1370 0 1371 0 1372 0 1373 6 1374 0 1375 2 1376 0 1377 2 1378 0 1379 0 1380 0 1381 3 1382 0 1383 1 1384 0 1385 14 1386 0 1387 1 1388 0 1389 5 1390 0 1391 0 1392 0 1393 7 1394 0 1395 3 1396 0 1397 5 1398 0 1399 0 1400 0 1401 3 1402 0 1403 2 1404 0 1405 1 1406 0 1407 0 1408 0 1409 6 1410 0 1411 1 1412 0 1413 5 1414 0 1415 0 1416 0 1417 11 1418 0 1419 1 1420 0 1421 7 1422 0 1423 0 1424 0 1425 8 1426 0 1427 0 1428 0 1429 3 1430 0 1431 1 1432 0 1433 8 1434 0 1435 2 1436 0 1437 1 1438 0 1439 2 1440 0 1441 8 1442 0 1443 0 1444 0 1445 8 1446 0 1447 3 1448 0 1449 6 1450 0 1451 3 1452 0 1453 4 1454 0 1455 0 1456 0 1457 6 1458 0 1459 1 1460 0 1461 8 1462 0 1463 0 1464 0 1465 9 1466 0 1467 0 1468 0 1469 4 1470 0 1471 0 1472 0 1473 4 1474 0 1475 0 1476 0 1477 3 1478 0 1479 0 1480 0 1481 5 1482 0 1483 0 1484 0 1485 7 1486 0 1487 0 1488 0 1489 5 1490 0 1491 1 1492 0 1493 6 1494 0 1495 1 1496 0 1497 8 1498 0 1499 1 1500 0 1501 6 1502 0 1503 0 1504 0 1505 6 1506 0 1507 0 1508 0 1509 6 1510 0 1511 0 1512 0 1513 4 1514 0 1515 2 1516 0 1517 3 1518 0 1519 1 1520 0 1521 6 1522 0 1523 0 1524 0 1525 1 1526 0 1527 0 1528 0 1529 5 1530 0 1531 0 1532 0 1533 7 1534 0 1535 1 1536 0 1537 9 1538 0 1539 1 1540 0 1541 7 1542 0 1543 0 1544 0 1545 6 1546 0 1547 0 1548 0 1549 1 1550 0 1551 2 1552 0 1553 6 1554 0 1555 0 1556 0 1557 8 1558 0 1559 3 1560 0 1561 8 1562 0 1563 1 1564 0 1565 9 1566 0 1567 2 1568 0 1569 6 1570 0 1571 1 1572 0 1573 7 1574 0 1575 0 1576 0 1577 6 1578 0 1579 0 1580 0 1581 1 1582 0 1583 0 1584 0 1585 11 1586 0 1587 2 1588 0 1589 2 1590 0 1591 0 1592 0 1593 5 1594 0 1595 0 1596 0 1597 7 1598 0 1599 0 1600 0 1601 3 1602 0 1603 1 1604 0 1605 1 1606 0 1607 0 1608 0 1609 4 1610 0 1611 2 1612 0 1613 1 1614 0 1615 0 1616 0 1617 4 1618 0 1619 0 1620 0 1621 3 1622 0 1623 0 1624 0 1625 2 1626 0 1627 0 1628 0 1629 8 1630 0 1631 0 1632 0 1633 3 1634 0 1635 3 1636 0 1637 4 1638 0 1639 0 1640 0 1641 8 1642 0 1643 0 1644 0 1645 5 1646 0 1647 0 1648 0 1649 2 1650 0 1651 1 1652 0 1653 5 1654 0 1655 0 1656 0 1657 5 1658 0 1659 1 1660 0 1661 2 1662 0 1663 0 1664 0 1665 9 1666 0 1667 0 1668 0 1669 0 1670 0 1671 0 1672 0 1673 6 1674 0 1675 0 1676 0 1677 4 1678 0 1679 0 1680 0 1681 7 1682 0 1683 0 1684 0 1685 6 1686 0 1687 1 1688 0 1689 4 1690 0 1691 2 1692 0 1693 3 1694 0 1695 0 1696 0 1697 8 1698 0 1699 0 1700 0 1701 4 1702 0 1703 0 1704 0 1705 8 1706 0 1707 1 1708 0 1709 3 1710 0 1711 0 1712 0 1713 6 1714 0 1715 1 1716 0 1717 4 1718 0 1719 0 1720 0 1721 5 1722 0 1723 0 1724 0 1725 2 1726 0 1727 0 1728 0 1729 7 1730 0 1731 0 1732 0 1733 2 1734 0 1735 0 1736 0 1737 8 1738 0 1739 1 1740 0 1741 2 1742 0 1743 0 1744 0 1745 2 1746 0 1747 0 1748 0 1749 3 1750 0 1751 0 1752 0 1753 7 1754 0 1755 0 1756 0 1757 7 1758 0 1759 0 1760 0 1761 2 1762 0 1763 0 1764 0 1765 3 1766 0 1767 0 1768 0 1769 8 1770 0 1771 0 1772 0 1773 3 1774 0 1775 1 1776 0 1777 5 1778 0 1779 0 1780 0 1781 2 1782 0 1783 0 1784 0 1785 3 1786 0 1787 0 1788 0 1789 2 1790 0 1791 0 1792 0 1793 4 1794 0 1795 0 1796 0 1797 3 1798 0 1799 1 1800 0 1801 6 1802 0 1803 1 1804 0 1805 3 1806 0 1807 2 1808 0 1809 4 1810 0 1811 0 1812 0 1813 4 1814 0 1815 1 1816 0 1817 5 1818 0 1819 0 1820 0 1821 4 1822 0 1823 3 1824 0 1825 4 1826 0 1827 0 1828 0 1829 3 1830 0 1831 0 1832 0 1833 9 1834 0 1835 1 1836 0 1837 3 1838 0 1839 0 1840 0 1841 5 1842 0 1843 1 1844 0 1845 4 1846 0 1847 0 1848 0 1849 6 1850 0 1851 1 1852 0 1853 6 1854 0 1855 2 1856 0 1857 6 1858 0 1859 0 1860 0 1861 4 1862 0 1863 1 1864 0 1865 6 1866 0 1867 2 1868 0 1869 2 1870 0 1871 1 1872 0 1873 8 1874 0 1875 2 1876 0 1877 3 1878 0 1879 0 1880 0 1881 3 1882 0 1883 1 1884 0 1885 5 1886 0 1887 0 1888 0 1889 5 1890 0 1891 0 1892 0 1893 5 1894 0 1895 0 1896 0 1897 4 1898 0 1899 0 1900 0 1901 3 1902 0 1903 0 1904 0 1905 1 1906 0 1907 1 1908 0 1909 3 1910 0 1911 0 1912 0 1913 4 1914 0 1915 0 1916 0 1917 7 1918 0 1919 0 1920 0 1921 3 1922 0 1923 1 1924 0 1925 3 1926 0 1927 0 1928 0 1929 7 1930 0 1931 1 1932 0 1933 3 1934 0 1935 2 1936 0 1937 9 1938 0 1939 0 1940 0 1941 2 1942 0 1943 0 1944 0 1945 6 1946 0 1947 1 1948 0 1949 2 1950 0 1951 0 1952 0 1953 1 1954 0 1955 0 1956 0 1957 3 1958 0 1959 0 1960 0 1961 4 1962 0 1963 1 1964 0 1965 1 1966 0 1967 0 1968 0 1969 4 1970 0 1971 0 1972 0 1973 3 1974 0 1975 1 1976 0 1977 1 1978 0 1979 0 1980 0 1981 1 1982 0 1983 0 1984 0 1985 4 1986 0 1987 0 1988 0 1989 2 1990 0 1991 1 1992 0 1993 3 1994 0 1995 0 1996 0 1997 2 1998 0 1999 0 2000 0 2001 4 2002 0 2003 1 2004 0 2005 4 2006 0 2007 0 2008 0 2009 3 2010 0 2011 0 2012 0 2013 2 2014 0 2015 0 2016 0 2017 6 2018 0 2019 1 2020 0 2021 2 2022 0 2023 2 2024 0 2025 3 2026 0 2027 1 2028 0 2029 3 2030 0 2031 0 2032 0 2033 4 2034 0 2035 0 2036 0 2037 2 2038 0 2039 0 2040 0 2041 2 2042 0 2043 1 2044 0 2045 5 2046 0 2047 0 2048 0 2049 3 2050 0 2051 1 2052 0 2053 4 2054 0 2055 1 2056 0 2057 3 2058 0 2059 0 2060 0 2061 5 2062 0 2063 0 2064 0 2065 3 2066 0 2067 0 2068 0 2069 6 2070 0 2071 1 2072 0 2073 6 2074 0 2075 0 2076 0 2077 3 2078 0 2079 1 2080 0 2081 3 2082 0 2083 0 2084 0 2085 4 2086 0 2087 0 2088 0 2089 7 2090 0 2091 2 2092 0 2093 7 2094 0 2095 0 2096 0 2097 3 2098 0 2099 0 2100 0 2101 5 2102 0 2103 0 2104 0 2105 3 2106 0 2107 0 2108 0 2109 4 2110 0 2111 0 2112 0 2113 3 2114 0 2115 0 2116 0 2117 4 2118 0 2119 0 2120 0 2121 7 2122 0 2123 1 2124 0 2125 4 2126 0 2127 0 2128 0 2129 7 2130 0 2131 1 2132 0 2133 3 2134 0 2135 0 2136 0 2137 3 2138 0 2139 1 2140 0 2141 0 2142 0 2143 0 2144 0 2145 3 2146 0 2147 1 2148 0 2149 2 2150 0 2151 0 2152 0 2153 3 2154 0 2155 1 2156 0 2157 3 2158 0 2159 0 2160 0 2161 2 2162 0 2163 0 2164 0 2165 3 2166 0 2167 0 2168 0 2169 5 2170 0 2171 0 2172 0 2173 0 2174 0 2175 0 2176 0 2177 5 2178 0 2179 0 2180 0 2181 4 2182 0 2183 0 2184 0 2185 5 2186 0 2187 0 2188 0 2189 4 2190 0 2191 0 2192 0 2193 3 2194 0 2195 0 2196 0 2197 1 2198 0 2199 0 2200 0 2201 3 2202 0 2203 0 2204 0 2205 4 2206 0 2207 1 2208 0 2209 7 2210 0 2211 0 2212 0 2213 0 2214 0 2215 0 2216 0 2217 1 2218 0 2219 1 2220 0 2221 3 2222 0 2223 2 2224 0 2225 2 2226 0 2227 1 2228 0 2229 1 2230 0 2231 0 2232 0 2233 5 2234 0 2235 1 2236 0 2237 2 2238 0 2239 1 2240 0 2241 6 2242 0 2243 1 2244 0 2245 2 2246 0 2247 0 2248 0 2249 3 2250 0 2251 0 2252 0 2253 6 2254 0 2255 0 2256 0 2257 7 2258 0 2259 0 2260 0 2261 0 2262 0 2263 1 2264 0 2265 0 2266 0 2267 1 2268 0 2269 1 2270 0 2271 0 2272 0 2273 1 2274 0 2275 0 2276 0 2277 2 2278 0 2279 0 2280 0 2281 5 2282 0 2283 0 2284 0 2285 3 2286 0 2287 0 2288 0 2289 4 2290 0 2291 0 2292 0 2293 1 2294 0 2295 0 2296 0 2297 4 2298 0 2299 0 2300 0 2301 2 2302 0 2303 0 2304 0 2305 2 2306 0 2307 1 2308 0 2309 3 2310 0 2311 0 2312 0 2313 6 2314 0 2315 0 2316 0 2317 4 2318 0 2319 0 2320 0 2321 2 2322 0 2323 1 2324 0 2325 2 2326 0 2327 0 2328 0 2329 6 2330 0 2331 0 2332 0 2333 2 2334 0 2335 0 2336 0 2337 1 2338 0 2339 0 2340 0 2341 1 2342 0 2343 0 2344 0 2345 6 2346 0 2347 0 2348 0 2349 4 2350 0 2351 0 2352 0 2353 4 2354 0 2355 0 2356 0 2357 0 2358 0 2359 0 2360 0 2361 3 2362 0 2363 0 2364 0 2365 2 2366 0 2367 0 2368 0 2369 4 2370 0 2371 1 2372 0 2373 4 2374 0 2375 0 2376 0 2377 5 2378 0 2379 1 2380 0 2381 2 2382 0 2383 0 2384 0 2385 3 2386 0 2387 1 2388 0 2389 2 2390 0 2391 1 2392 0 2393 3 2394 0 2395 0 2396 0 2397 2 2398 0 2399 0 2400 0 2401 1 2402 0 2403 0 2404 0 2405 3 2406 0 2407 0 2408 0 2409 1 2410 0 2411 1 2412 0 2413 3 2414 0 2415 0 2416 0 2417 2 2418 0 2419 0 2420 0 2421 5 2422 0 2423 1 2424 0 2425 4 2426 0 2427 1 2428 0 2429 4 2430 0 2431 0 2432 0 2433 2 2434 0 2435 0 2436 0 2437 3 2438 0 2439 0 2440 0 2441 4 2442 0 2443 0 2444 0 2445 1 2446 0 2447 1 2448 0 2449 5 2450 0 2451 1 2452 0 2453 2 2454 0 2455 0 2456 0 2457 2 2458 0 2459 2 2460 0 2461 0 2462 0 2463 1 2464 0 2465 2 2466 0 2467 0 2468 0 2469 1 2470 0 2471 1 2472 0 2473 1 2474 0 2475 1 2476 0 2477 2 2478 0 2479 0 2480 0 2481 3 2482 0 2483 0 2484 0 2485 1 2486 0 2487 0 2488 0 2489 4 2490 0 2491 0 2492 0 2493 1 2494 0 2495 0 2496 0 2497 0 2498 0 2499 0 2500 0 2501 1 2502 0 2503 1 2504 0 2505 5 2506 0 2507 0 2508 0 2509 2 2510 0 2511 0 2512 0 2513 0 2514 0 2515 0 2516 0 2517 2 2518 0 2519 0 2520 0 2521 4 2522 0 2523 1 2524 0 2525 3 2526 0 2527 0 2528 0 2529 0 2530 0 2531 0 2532 0 2533 1 2534 0 2535 1 2536 0 2537 5 2538 0 2539 0 2540 0 2541 1 2542 0 2543 0 2544 0 2545 4 2546 0 2547 0 2548 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0 29112 0 29113 0 29114 0 29115 0 29116 0 29117 0 29118 0 29119 0 29120 0 29121 0 29122 0 29123 0 29124 0 29125 0 29126 0 29127 0 29128 0 29129 0 29130 0 29131 0 29132 0 29133 0 29134 0 29135 0 29136 0 29137 0 29138 0 29139 0 29140 0 29141 0 29142 0 29143 0 29144 0 29145 0 29146 0 29147 0 29148 0 29149 0 29150 0 29151 0 29152 0 29153 0 29154 0 29155 0 29156 0 29157 0 29158 0 29159 0 29160 0 29161 0 29162 0 29163 0 29164 0 29165 0 29166 0 29167 0 29168 0 29169 0 29170 0 29171 0 29172 0 29173 0 29174 0 29175 0 29176 0 29177 0 29178 0 29179 0 29180 0 29181 0 29182 0 29183 0 29184 0 29185 0 29186 0 29187 0 29188 0 29189 0 29190 0 29191 0 29192 0 29193 0 29194 0 29195 0 29196 0 29197 0 29198 0 29199 0 29200 0 29201 0 29202 0 29203 0 29204 0 29205 0 29206 0 29207 0 29208 0 29209 0 29210 0 29211 0 29212 0 29213 0 29214 0 29215 0 29216 0 29217 0 29218 0 29219 0 29220 0 29221 0 29222 0 29223 0 29224 0 29225 0 29226 0 29227 0 29228 0 29229 0 29230 0 29231 0 29232 0 29233 0 29234 0 29235 0 29236 0 29237 0 29238 0 29239 0 29240 0 29241 0 29242 0 29243 0 29244 0 29245 0 29246 0 29247 0 29248 0 29249 0 29250 0 29251 0 29252 0 29253 0 29254 0 29255 0 29256 0 29257 0 29258 0 29259 0 29260 0 29261 0 29262 0 29263 0 29264 0 29265 0 29266 0 29267 0 29268 0 29269 0 29270 0 29271 0 29272 0 29273 0 29274 0 29275 0 29276 0 29277 0 29278 0 29279 0 29280 0 29281 0 29282 0 29283 0 29284 0 29285 0 29286 0 29287 0 29288 0 29289 0 29290 0 29291 0 29292 0 29293 0 29294 0 29295 0 29296 0 29297 0 29298 0 29299 0 29300 0 29301 0 29302 0 29303 0 29304 0 29305 0 29306 0 29307 0 29308 0 29309 0 29310 0 29311 0 29312 0 29313 0 29314 0 29315 0 29316 0 29317 0 29318 0 29319 0 29320 0 29321 0 29322 0 29323 0 29324 0 29325 0 29326 0 29327 0 29328 0 29329 0 29330 0 29331 0 29332 0 29333 0 29334 0 29335 0 29336 0 29337 0 29338 0 29339 0 29340 0 29341 0 29342 0 29343 0 29344 0 29345 0 29346 0 29347 0 29348 0 29349 0 29350 0 29351 0 29352 0 29353 0 29354 0 29355 0 29356 0 29357 0 29358 0 29359 0 29360 0 29361 0 29362 0 29363 0 29364 0 29365 0 29366 0 29367 0 29368 0 29369 0 29370 0 29371 0 29372 0 29373 0 29374 0 29375 0 29376 0 29377 0 29378 0 29379 0 29380 0 29381 0 29382 0 29383 0 29384 0 29385 0 29386 0 29387 0 29388 0 29389 0 29390 0 29391 0 29392 0 29393 0 29394 0 29395 0 29396 0 29397 0 29398 0 29399 0 29400 0 29401 0 29402 0 29403 0 29404 0 29405 0 29406 0 29407 0 29408 0 29409 0 29410 0 29411 0 29412 0 29413 0 29414 0 29415 0 29416 0 29417 0 29418 0 29419 0 29420 0 29421 0 29422 0 29423 0 29424 0 29425 0 29426 0 29427 0 29428 0 29429 0 29430 0 29431 0 29432 0 29433 0 29434 0 29435 0 29436 0 29437 0 29438 0 29439 0 29440 0 29441 0 29442 0 29443 0 29444 0 29445 0 29446 0 29447 0 29448 0 29449 0 29450 0 29451 0 29452 0 29453 0 29454 0 29455 0 29456 0 29457 0 29458 0 29459 0 29460 0 29461 0 29462 0 29463 0 29464 0 29465 0 29466 0 29467 0 29468 0 29469 0 29470 0 29471 0 29472 0 29473 0 29474 0 29475 0 29476 0 29477 0 29478 0 29479 0 29480 0 29481 0 29482 0 29483 0 29484 0 29485 0 29486 0 29487 0 29488 0 29489 0 29490 0 29491 0 29492 0 29493 0 29494 0 29495 0 29496 0 29497 0 29498 0 29499 0 29500 0 29501 0 29502 0 29503 0 29504 0 29505 0 29506 0 29507 0 29508 0 29509 0 29510 0 29511 0 29512 0 29513 0 29514 0 29515 0 29516 0 29517 0 29518 0 29519 0 29520 0 29521 0 29522 0 29523 0 29524 0 29525 0 29526 0 29527 0 29528 0 29529 0 29530 0 29531 0 29532 0 29533 0 29534 0 29535 0 29536 0 29537 0 29538 0 29539 0 29540 0 29541 0 29542 0 29543 0 29544 0 29545 0 29546 0 29547 0 29548 0 29549 0 29550 0 29551 0 29552 0 29553 0 29554 0 29555 0 29556 0 29557 0 29558 0 29559 0 29560 0 29561 0 29562 0 29563 0 29564 0 29565 0 29566 0 29567 0 29568 0 29569 0 29570 0 29571 0 29572 0 29573 0 29574 0 29575 0 29576 0 29577 0 29578 0 29579 0 29580 0 29581 0 29582 0 29583 0 29584 0 29585 0 29586 0 29587 0 29588 0 29589 0 29590 0 29591 0 29592 0 29593 0 29594 0 29595 0 29596 0 29597 0 29598 0 29599 0 29600 0 29601 0 29602 0 29603 0 29604 0 29605 0 29606 0 29607 0 29608 0 29609 0 29610 0 29611 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0 29862 0 29863 0 29864 0 29865 0 29866 0 29867 0 29868 0 29869 0 29870 0 29871 0 29872 0 29873 0 29874 0 29875 0 29876 0 29877 0 29878 0 29879 0 29880 0 29881 0 29882 0 29883 0 29884 0 29885 0 29886 0 29887 0 29888 0 29889 0 29890 0 29891 0 29892 0 29893 0 29894 0 29895 0 29896 0 29897 0 29898 0 29899 0 29900 0 29901 0 29902 0 29903 0 29904 0 29905 0 29906 0 29907 0 29908 0 29909 0 29910 0 29911 0 29912 0 29913 0 29914 0 29915 0 29916 0 29917 0 29918 0 29919 0 29920 0 29921 0 29922 0 29923 0 29924 0 29925 0 29926 0 29927 0 29928 0 29929 0 29930 0 29931 0 29932 0 29933 0 29934 0 29935 0 29936 0 29937 0 29938 0 29939 0 29940 0 29941 0 29942 0 29943 0 29944 0 29945 0 29946 0 29947 0 29948 0 29949 0 29950 0 29951 0 29952 0 29953 0 29954 0 29955 0 29956 0 29957 0 29958 0 29959 0 29960 0 29961 0 29962 0 29963 0 29964 0 29965 0 29966 0 29967 0 29968 0 29969 0 29970 0 29971 0 29972 0 29973 0 29974 0 29975 0 29976 0 29977 0 29978 0 29979 0 29980 0 29981 0 29982 0 29983 0 29984 0 29985 0 29986 0 29987 0 29988 0 29989 0 29990 0 29991 0 29992 0 29993 0 29994 0 29995 0 29996 0 29997 0 29998 0 29999 0 30000 0 35: Average symbolic conclusion length is 27348616/16029 ≈ 1706.20. (Median: 941) There are 19 minimal D-proofs with conclusions of even symbolic length, and there are 16010 minimal D-proofs with conclusions of odd symbolic length. [19/16029 ≈ 0.12% even] 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 10 0 11 0 12 0 13 0 14 0 15 2 16 0 17 0 18 0 19 0 20 0 21 0 22 0 23 0 24 0 25 0 26 0 27 0 28 1 29 0 30 0 31 0 32 0 33 0 34 0 35 0 36 0 37 0 38 0 39 1 40 0 41 0 42 3 43 1 44 0 45 6 46 0 47 2 48 0 49 2 50 0 51 0 52 0 53 1 54 0 55 5 56 0 57 2 58 0 59 1 60 0 61 5 62 1 63 2 64 0 65 1 66 0 67 2 68 0 69 2 70 0 71 0 72 1 73 5 74 0 75 3 76 0 77 7 78 0 79 11 80 0 81 7 82 0 83 6 84 0 85 5 86 0 87 6 88 0 89 10 90 0 91 3 92 0 93 10 94 0 95 3 96 0 97 4 98 0 99 9 100 0 101 10 102 0 103 13 104 0 105 9 106 0 107 9 108 0 109 9 110 0 111 6 112 0 113 17 114 0 115 4 116 0 117 9 118 0 119 7 120 0 121 20 122 0 123 11 124 0 125 12 126 0 127 9 128 0 129 18 130 0 131 10 132 0 133 18 134 0 135 12 136 0 137 25 138 0 139 8 140 0 141 11 142 0 143 13 144 0 145 19 146 0 147 15 148 0 149 21 150 0 151 16 152 0 153 21 154 0 155 9 156 0 157 16 158 0 159 9 160 0 161 23 162 0 163 13 164 0 165 21 166 0 167 13 168 0 169 25 170 0 171 15 172 1 173 21 174 0 175 8 176 0 177 23 178 0 179 8 180 0 181 18 182 0 183 14 184 0 185 22 186 0 187 19 188 0 189 37 190 0 191 12 192 0 193 20 194 0 195 13 196 0 197 19 198 0 199 9 200 0 201 31 202 0 203 8 204 0 205 22 206 0 207 12 208 0 209 24 210 0 211 9 212 0 213 32 214 0 215 15 216 0 217 25 218 0 219 10 220 0 221 26 222 0 223 9 224 0 225 17 226 0 227 20 228 0 229 30 230 0 231 18 232 1 233 32 234 0 235 18 236 0 237 25 238 0 239 19 240 0 241 23 242 0 243 10 244 0 245 29 246 1 247 13 248 0 249 31 250 0 251 13 252 0 253 26 254 0 255 11 256 0 257 38 258 0 259 9 260 0 261 31 262 1 263 14 264 0 265 41 266 0 267 12 268 0 269 31 270 0 271 11 272 0 273 32 274 0 275 14 276 0 277 47 278 0 279 12 280 0 281 28 282 0 283 14 284 0 285 31 286 0 287 12 288 0 289 38 290 1 291 18 292 0 293 40 294 0 295 5 296 0 297 28 298 0 299 9 300 0 301 40 302 0 303 13 304 0 305 25 306 0 307 11 308 0 309 36 310 0 311 14 312 0 313 34 314 0 315 8 316 0 317 36 318 0 319 8 320 0 321 34 322 0 323 18 324 0 325 26 326 0 327 14 328 0 329 35 330 0 331 11 332 0 333 34 334 0 335 17 336 0 337 27 338 0 339 9 340 0 341 35 342 1 343 17 344 0 345 27 346 0 347 10 348 1 349 37 350 0 351 10 352 0 353 31 354 0 355 15 356 1 357 32 358 0 359 9 360 0 361 33 362 0 363 7 364 0 365 26 366 0 367 12 368 0 369 41 370 0 371 15 372 0 373 34 374 0 375 9 376 0 377 31 378 0 379 11 380 0 381 38 382 0 383 12 384 0 385 34 386 0 387 9 388 0 389 40 390 0 391 10 392 1 393 28 394 0 395 15 396 0 397 33 398 0 399 15 400 0 401 23 402 0 403 9 404 0 405 41 406 0 407 11 408 0 409 33 410 0 411 9 412 0 413 26 414 0 415 14 416 0 417 51 418 0 419 12 420 0 421 35 422 0 423 10 424 0 425 33 426 0 427 8 428 0 429 45 430 0 431 12 432 0 433 26 434 0 435 13 436 0 437 29 438 0 439 10 440 0 441 24 442 0 443 3 444 0 445 26 446 0 447 19 448 0 449 24 450 0 451 10 452 0 453 39 454 0 455 11 456 0 457 35 458 0 459 13 460 0 461 31 462 0 463 9 464 0 465 36 466 0 467 7 468 0 469 23 470 0 471 8 472 0 473 32 474 0 475 7 476 0 477 31 478 0 479 13 480 0 481 33 482 0 483 13 484 0 485 37 486 0 487 11 488 0 489 29 490 0 491 12 492 0 493 34 494 0 495 8 496 0 497 38 498 0 499 14 500 0 501 32 502 0 503 8 504 0 505 28 506 0 507 11 508 0 509 26 510 0 511 10 512 0 513 37 514 0 515 12 516 0 517 27 518 0 519 6 520 0 521 27 522 0 523 9 524 0 525 32 526 0 527 14 528 0 529 34 530 0 531 8 532 0 533 43 534 0 535 9 536 0 537 21 538 0 539 8 540 0 541 44 542 0 543 4 544 0 545 22 546 0 547 4 548 0 549 36 550 0 551 10 552 0 553 36 554 0 555 4 556 0 557 26 558 0 559 11 560 0 561 31 562 0 563 11 564 0 565 27 566 0 567 8 568 0 569 37 570 0 571 6 572 0 573 22 574 0 575 6 576 0 577 26 578 0 579 9 580 0 581 26 582 0 583 11 584 0 585 35 586 0 587 9 588 0 589 30 590 0 591 10 592 0 593 33 594 0 595 9 596 0 597 17 598 0 599 8 600 0 601 26 602 0 603 11 604 0 605 36 606 0 607 6 608 0 609 37 610 0 611 8 612 0 613 39 614 0 615 10 616 0 617 28 618 0 619 5 620 0 621 33 622 0 623 9 624 0 625 24 626 0 627 10 628 0 629 28 630 0 631 10 632 0 633 26 634 0 635 10 636 0 637 29 638 0 639 5 640 0 641 26 642 0 643 9 644 0 645 39 646 0 647 10 648 0 649 28 650 0 651 9 652 0 653 31 654 0 655 3 656 0 657 35 658 0 659 5 660 0 661 26 662 0 663 3 664 0 665 37 666 0 667 10 668 0 669 35 670 0 671 5 672 0 673 26 674 0 675 6 676 1 677 23 678 0 679 4 680 0 681 24 682 0 683 3 684 0 685 36 686 0 687 6 688 0 689 26 690 0 691 11 692 0 693 39 694 0 695 4 696 0 697 26 698 0 699 9 700 0 701 26 702 0 703 9 704 0 705 32 706 0 707 8 708 0 709 26 710 0 711 6 712 1 713 32 714 0 715 10 716 0 717 21 718 0 719 8 720 0 721 23 722 0 723 4 724 0 725 24 726 0 727 7 728 0 729 30 730 0 731 10 732 0 733 25 734 0 735 7 736 0 737 31 738 0 739 8 740 0 741 30 742 0 743 7 744 0 745 35 746 0 747 8 748 0 749 22 750 0 751 5 752 0 753 22 754 0 755 6 756 0 757 22 758 0 759 5 760 0 761 30 762 0 763 6 764 0 765 34 766 0 767 3 768 0 769 34 770 0 771 1 772 0 773 22 774 0 775 3 776 0 777 23 778 0 779 2 780 0 781 26 782 0 783 6 784 0 785 31 786 0 787 6 788 0 789 15 790 1 791 5 792 0 793 24 794 0 795 6 796 0 797 27 798 0 799 4 800 0 801 38 802 0 803 13 804 0 805 29 806 0 807 6 808 0 809 32 810 0 811 4 812 0 813 16 814 0 815 7 816 0 817 33 818 0 819 4 820 0 821 26 822 0 823 7 824 0 825 26 826 0 827 6 828 0 829 18 830 0 831 8 832 0 833 17 834 0 835 4 836 0 837 24 838 0 839 7 840 0 841 18 842 0 843 11 844 0 845 31 846 0 847 3 848 0 849 22 850 0 851 8 852 0 853 25 854 0 855 2 856 0 857 34 858 0 859 6 860 0 861 28 862 0 863 7 864 0 865 31 866 0 867 7 868 0 869 20 870 0 871 9 872 0 873 28 874 0 875 9 876 0 877 27 878 0 879 8 880 0 881 28 882 0 883 5 884 0 885 30 886 0 887 10 888 0 889 31 890 0 891 4 892 0 893 34 894 0 895 6 896 0 897 16 898 0 899 6 900 0 901 23 902 0 903 3 904 0 905 24 906 0 907 8 908 0 909 26 910 0 911 3 912 0 913 27 914 0 915 5 916 0 917 18 918 0 919 7 920 0 921 18 922 0 923 3 924 0 925 23 926 0 927 4 928 0 929 26 930 0 931 6 932 0 933 20 934 0 935 4 936 0 937 27 938 0 939 3 940 0 941 18 942 0 943 3 944 0 945 23 946 0 947 4 948 0 949 28 950 0 951 8 952 0 953 23 954 0 955 7 956 0 957 24 958 0 959 3 960 0 961 22 962 0 963 8 964 0 965 23 966 0 967 6 968 0 969 26 970 0 971 5 972 0 973 26 974 0 975 4 976 0 977 22 978 0 979 2 980 0 981 29 982 0 983 5 984 0 985 26 986 0 987 6 988 0 989 10 990 0 991 1 992 0 993 20 994 0 995 4 996 0 997 12 998 0 999 5 1000 0 1001 16 1002 0 1003 8 1004 0 1005 18 1006 0 1007 7 1008 0 1009 27 1010 0 1011 5 1012 0 1013 26 1014 0 1015 9 1016 0 1017 24 1018 0 1019 4 1020 0 1021 21 1022 0 1023 6 1024 0 1025 29 1026 0 1027 3 1028 0 1029 25 1030 0 1031 3 1032 0 1033 19 1034 0 1035 4 1036 0 1037 21 1038 0 1039 6 1040 0 1041 14 1042 0 1043 3 1044 0 1045 18 1046 0 1047 8 1048 0 1049 15 1050 0 1051 3 1052 0 1053 15 1054 0 1055 0 1056 0 1057 21 1058 0 1059 5 1060 1 1061 17 1062 0 1063 5 1064 0 1065 20 1066 0 1067 7 1068 0 1069 24 1070 0 1071 6 1072 0 1073 18 1074 0 1075 10 1076 0 1077 20 1078 0 1079 1 1080 0 1081 21 1082 0 1083 2 1084 0 1085 15 1086 0 1087 6 1088 0 1089 21 1090 0 1091 1 1092 0 1093 13 1094 0 1095 6 1096 0 1097 19 1098 0 1099 4 1100 0 1101 25 1102 0 1103 2 1104 0 1105 18 1106 0 1107 6 1108 0 1109 15 1110 0 1111 3 1112 0 1113 25 1114 0 1115 3 1116 0 1117 27 1118 0 1119 1 1120 0 1121 15 1122 0 1123 1 1124 0 1125 11 1126 0 1127 4 1128 0 1129 23 1130 0 1131 6 1132 0 1133 15 1134 0 1135 3 1136 0 1137 15 1138 0 1139 5 1140 0 1141 25 1142 0 1143 9 1144 0 1145 17 1146 0 1147 3 1148 0 1149 22 1150 0 1151 7 1152 0 1153 19 1154 0 1155 4 1156 0 1157 20 1158 0 1159 4 1160 0 1161 14 1162 0 1163 4 1164 0 1165 17 1166 0 1167 5 1168 0 1169 11 1170 0 1171 2 1172 0 1173 19 1174 0 1175 1 1176 0 1177 16 1178 0 1179 2 1180 0 1181 20 1182 0 1183 4 1184 0 1185 18 1186 0 1187 6 1188 0 1189 19 1190 0 1191 2 1192 0 1193 24 1194 0 1195 5 1196 0 1197 17 1198 0 1199 3 1200 0 1201 15 1202 0 1203 2 1204 0 1205 16 1206 0 1207 5 1208 0 1209 20 1210 0 1211 2 1212 0 1213 17 1214 0 1215 3 1216 0 1217 17 1218 0 1219 3 1220 0 1221 17 1222 0 1223 4 1224 0 1225 21 1226 0 1227 1 1228 0 1229 18 1230 0 1231 1 1232 0 1233 12 1234 0 1235 6 1236 0 1237 21 1238 0 1239 2 1240 0 1241 21 1242 0 1243 4 1244 0 1245 18 1246 0 1247 1 1248 0 1249 23 1250 0 1251 5 1252 0 1253 13 1254 0 1255 2 1256 0 1257 19 1258 0 1259 2 1260 0 1261 14 1262 0 1263 5 1264 0 1265 14 1266 0 1267 2 1268 0 1269 15 1270 0 1271 1 1272 0 1273 12 1274 0 1275 5 1276 0 1277 9 1278 0 1279 1 1280 0 1281 20 1282 0 1283 5 1284 0 1285 7 1286 0 1287 3 1288 0 1289 14 1290 0 1291 3 1292 0 1293 7 1294 0 1295 1 1296 0 1297 14 1298 0 1299 7 1300 0 1301 10 1302 0 1303 1 1304 0 1305 18 1306 0 1307 2 1308 0 1309 16 1310 0 1311 6 1312 0 1313 11 1314 0 1315 3 1316 0 1317 22 1318 0 1319 5 1320 0 1321 14 1322 0 1323 2 1324 0 1325 11 1326 0 1327 2 1328 0 1329 14 1330 0 1331 4 1332 0 1333 12 1334 0 1335 3 1336 0 1337 10 1338 0 1339 0 1340 0 1341 14 1342 0 1343 4 1344 0 1345 23 1346 0 1347 4 1348 0 1349 8 1350 0 1351 3 1352 0 1353 10 1354 0 1355 3 1356 0 1357 14 1358 0 1359 5 1360 0 1361 16 1362 0 1363 1 1364 0 1365 16 1366 0 1367 4 1368 0 1369 18 1370 0 1371 3 1372 0 1373 8 1374 0 1375 4 1376 0 1377 10 1378 0 1379 3 1380 0 1381 17 1382 0 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29199 0 29200 0 29201 0 29202 0 29203 0 29204 0 29205 0 29206 0 29207 0 29208 0 29209 0 29210 0 29211 0 29212 0 29213 0 29214 0 29215 0 29216 0 29217 0 29218 0 29219 0 29220 0 29221 0 29222 0 29223 0 29224 0 29225 0 29226 0 29227 0 29228 0 29229 0 29230 0 29231 0 29232 0 29233 0 29234 0 29235 0 29236 0 29237 0 29238 0 29239 0 29240 0 29241 0 29242 0 29243 0 29244 0 29245 0 29246 0 29247 0 29248 0 29249 0 29250 0 29251 0 29252 0 29253 0 29254 0 29255 0 29256 0 29257 0 29258 0 29259 0 29260 0 29261 0 29262 0 29263 0 29264 0 29265 0 29266 0 29267 0 29268 0 29269 0 29270 0 29271 0 29272 0 29273 0 29274 0 29275 0 29276 0 29277 0 29278 0 29279 0 29280 0 29281 0 29282 0 29283 0 29284 0 29285 0 29286 0 29287 0 29288 0 29289 0 29290 0 29291 0 29292 0 29293 0 29294 0 29295 0 29296 0 29297 0 29298 0 29299 0 29300 0 29301 0 29302 0 29303 0 29304 0 29305 0 29306 0 29307 0 29308 0 29309 0 29310 0 29311 0 29312 0 29313 0 29314 0 29315 0 29316 0 29317 0 29318 0 29319 0 29320 0 29321 0 29322 0 29323 0 29324 0 29325 0 29326 0 29327 0 29328 0 29329 0 29330 0 29331 0 29332 0 29333 0 29334 0 29335 0 29336 0 29337 0 29338 0 29339 0 29340 0 29341 0 29342 0 29343 0 29344 0 29345 0 29346 0 29347 0 29348 0 29349 0 29350 0 29351 0 29352 0 29353 0 29354 0 29355 0 29356 0 29357 0 29358 0 29359 0 29360 0 29361 0 29362 0 29363 0 29364 0 29365 0 29366 0 29367 0 29368 0 29369 0 29370 0 29371 0 29372 0 29373 0 29374 0 29375 0 29376 0 29377 0 29378 0 29379 0 29380 0 29381 0 29382 0 29383 0 29384 0 29385 0 29386 0 29387 0 29388 0 29389 0 29390 0 29391 0 29392 0 29393 0 29394 0 29395 0 29396 0 29397 0 29398 0 29399 0 29400 0 29401 0 29402 0 29403 0 29404 0 29405 0 29406 0 29407 0 29408 0 29409 0 29410 0 29411 0 29412 0 29413 0 29414 0 29415 0 29416 0 29417 0 29418 0 29419 0 29420 0 29421 0 29422 0 29423 0 29424 0 29425 0 29426 0 29427 0 29428 0 29429 0 29430 0 29431 0 29432 0 29433 0 29434 0 29435 0 29436 0 29437 0 29438 0 29439 0 29440 0 29441 0 29442 0 29443 0 29444 0 29445 0 29446 0 29447 0 29448 0 29449 0 29450 0 29451 0 29452 0 29453 0 29454 0 29455 0 29456 0 29457 0 29458 0 29459 0 29460 0 29461 0 29462 0 29463 0 29464 0 29465 0 29466 0 29467 0 29468 0 29469 0 29470 0 29471 0 29472 0 29473 0 29474 0 29475 0 29476 0 29477 0 29478 0 29479 0 29480 0 29481 0 29482 0 29483 0 29484 0 29485 0 29486 0 29487 0 29488 0 29489 0 29490 0 29491 0 29492 0 29493 0 29494 0 29495 0 29496 0 29497 0 29498 0 29499 0 29500 0 29501 0 29502 0 29503 0 29504 0 29505 0 29506 0 29507 0 29508 0 29509 0 29510 0 29511 0 29512 0 29513 0 29514 0 29515 0 29516 0 29517 0 29518 0 29519 0 29520 0 29521 0 29522 0 29523 0 29524 0 29525 0 29526 0 29527 0 29528 0 29529 0 29530 0 29531 0 29532 0 29533 0 29534 0 29535 0 29536 0 29537 0 29538 0 29539 0 29540 0 29541 0 29542 0 29543 0 29544 0 29545 0 29546 0 29547 0 29548 0 29549 0 29550 0 29551 0 29552 0 29553 0 29554 0 29555 0 29556 0 29557 0 29558 0 29559 0 29560 0 29561 0 29562 0 29563 0 29564 0 29565 0 29566 0 29567 0 29568 0 29569 0 29570 0 29571 0 29572 0 29573 0 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29699 0 29700 0 29701 0 29702 0 29703 0 29704 0 29705 0 29706 0 29707 0 29708 0 29709 0 29710 0 29711 0 29712 0 29713 0 29714 0 29715 0 29716 0 29717 0 29718 0 29719 0 29720 0 29721 0 29722 0 29723 0 29724 0 29725 0 29726 0 29727 0 29728 0 29729 0 29730 0 29731 0 29732 0 29733 0 29734 0 29735 0 29736 0 29737 0 29738 0 29739 0 29740 0 29741 0 29742 0 29743 0 29744 0 29745 0 29746 0 29747 0 29748 0 29749 0 29750 0 29751 0 29752 0 29753 0 29754 0 29755 0 29756 0 29757 0 29758 0 29759 0 29760 0 29761 0 29762 0 29763 0 29764 0 29765 0 29766 0 29767 0 29768 0 29769 0 29770 0 29771 0 29772 0 29773 0 29774 0 29775 0 29776 0 29777 0 29778 0 29779 0 29780 0 29781 0 29782 0 29783 0 29784 0 29785 0 29786 0 29787 0 29788 0 29789 0 29790 0 29791 0 29792 0 29793 0 29794 0 29795 0 29796 0 29797 0 29798 0 29799 0 29800 0 29801 0 29802 0 29803 0 29804 0 29805 0 29806 0 29807 0 29808 0 29809 0 29810 0 29811 0 29812 0 29813 0 29814 0 29815 0 29816 0 29817 0 29818 0 29819 0 29820 0 29821 0 29822 0 29823 0 29824 0 29825 0 29826 0 29827 0 29828 0 29829 0 29830 0 29831 0 29832 0 29833 0 29834 0 29835 0 29836 0 29837 0 29838 0 29839 0 29840 0 29841 0 29842 0 29843 0 29844 0 29845 0 29846 0 29847 0 29848 0 29849 0 29850 0 29851 0 29852 0 29853 0 29854 0 29855 0 29856 0 29857 0 29858 0 29859 0 29860 0 29861 0 29862 0 29863 0 29864 0 29865 0 29866 0 29867 0 29868 0 29869 0 29870 0 29871 0 29872 0 29873 0 29874 0 29875 0 29876 0 29877 0 29878 0 29879 0 29880 0 29881 0 29882 0 29883 0 29884 0 29885 0 29886 0 29887 0 29888 0 29889 0 29890 0 29891 0 29892 0 29893 0 29894 0 29895 0 29896 0 29897 0 29898 0 29899 0 29900 0 29901 0 29902 0 29903 0 29904 0 29905 0 29906 0 29907 0 29908 0 29909 0 29910 0 29911 0 29912 0 29913 0 29914 0 29915 0 29916 0 29917 0 29918 0 29919 0 29920 0 29921 0 29922 0 29923 0 29924 0 29925 0 29926 0 29927 0 29928 0 29929 0 29930 0 29931 0 29932 0 29933 0 29934 0 29935 0 29936 0 29937 0 29938 0 29939 0 29940 0 29941 0 29942 0 29943 0 29944 0 29945 0 29946 0 29947 0 29948 0 29949 0 29950 0 29951 0 29952 0 29953 0 29954 0 29955 0 29956 0 29957 0 29958 0 29959 0 29960 0 29961 0 29962 0 29963 0 29964 0 29965 0 29966 0 29967 0 29968 0 29969 0 29970 0 29971 0 29972 0 29973 0 29974 0 29975 0 29976 0 29977 0 29978 0 29979 0 29980 0 29981 0 29982 0 29983 0 29984 0 29985 0 29986 0 29987 0 29988 0 29989 0 29990 0 29991 0 29992 0 29993 0 29994 0 29995 0 29996 0 29997 0 29998 0 29999 0 30000 0 37: Average symbolic conclusion length is 64613312/31774 ≈ 2033.53. (Median: 1085) There are 44 minimal D-proofs with conclusions of even symbolic length, and there are 31730 minimal D-proofs with conclusions of odd symbolic length. [44/31774 ≈ 0.14% even] 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 10 0 11 0 12 0 13 0 14 0 15 1 16 0 17 0 18 0 19 0 20 0 21 0 22 0 23 0 24 0 25 2 26 0 27 0 28 0 29 1 30 0 31 3 32 0 33 7 34 0 35 2 36 0 37 0 38 0 39 0 40 1 41 1 42 0 43 0 44 1 45 1 46 0 47 0 48 0 49 1 50 1 51 0 52 0 53 0 54 0 55 8 56 1 57 3 58 0 59 7 60 0 61 9 62 0 63 7 64 0 65 5 66 0 67 4 68 0 69 4 70 0 71 7 72 0 73 4 74 0 75 4 76 0 77 12 78 0 79 4 80 0 81 12 82 1 83 2 84 0 85 12 86 3 87 4 88 0 89 8 90 0 91 2 92 0 93 11 94 0 95 9 96 0 97 10 98 0 99 10 100 1 101 8 102 0 103 10 104 0 105 7 106 0 107 14 108 0 109 17 110 0 111 5 112 0 113 14 114 0 115 9 116 0 117 18 118 0 119 11 120 0 121 26 122 0 123 8 124 0 125 15 126 0 127 13 128 0 129 27 130 0 131 15 132 0 133 17 134 1 135 9 136 0 137 17 138 0 139 15 140 0 141 29 142 0 143 17 144 0 145 20 146 0 147 9 148 0 149 23 150 0 151 13 152 1 153 34 154 0 155 14 156 1 157 27 158 0 159 22 160 0 161 32 162 1 163 19 164 0 165 38 166 0 167 14 168 0 169 25 170 0 171 10 172 0 173 27 174 0 175 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29274 0 29275 0 29276 0 29277 0 29278 0 29279 0 29280 0 29281 0 29282 0 29283 0 29284 0 29285 0 29286 0 29287 0 29288 0 29289 0 29290 0 29291 0 29292 0 29293 0 29294 0 29295 0 29296 0 29297 0 29298 0 29299 0 29300 0 29301 0 29302 0 29303 0 29304 0 29305 0 29306 0 29307 0 29308 0 29309 0 29310 0 29311 0 29312 0 29313 0 29314 0 29315 0 29316 0 29317 0 29318 0 29319 0 29320 0 29321 0 29322 0 29323 0 29324 0 29325 0 29326 0 29327 0 29328 0 29329 0 29330 0 29331 0 29332 0 29333 0 29334 0 29335 0 29336 0 29337 0 29338 0 29339 0 29340 0 29341 0 29342 0 29343 0 29344 0 29345 0 29346 0 29347 0 29348 0 29349 0 29350 0 29351 0 29352 0 29353 0 29354 0 29355 0 29356 0 29357 0 29358 0 29359 0 29360 0 29361 0 29362 0 29363 0 29364 0 29365 0 29366 0 29367 0 29368 0 29369 0 29370 0 29371 0 29372 0 29373 0 29374 0 29375 0 29376 0 29377 0 29378 0 29379 0 29380 0 29381 0 29382 0 29383 0 29384 0 29385 0 29386 0 29387 0 29388 0 29389 0 29390 0 29391 0 29392 0 29393 0 29394 0 29395 0 29396 0 29397 0 29398 0 29399 0 29400 0 29401 1 29402 0 29403 0 29404 0 29405 0 29406 0 29407 0 29408 0 29409 0 29410 0 29411 0 29412 0 29413 0 29414 0 29415 0 29416 0 29417 0 29418 0 29419 0 29420 0 29421 0 29422 0 29423 0 29424 0 29425 0 29426 0 29427 0 29428 0 29429 0 29430 0 29431 0 29432 0 29433 0 29434 0 29435 0 29436 0 29437 0 29438 0 29439 0 29440 0 29441 0 29442 0 29443 0 29444 0 29445 0 29446 0 29447 0 29448 0 29449 0 29450 0 29451 0 29452 0 29453 0 29454 0 29455 0 29456 0 29457 0 29458 0 29459 0 29460 0 29461 0 29462 0 29463 0 29464 0 29465 0 29466 0 29467 0 29468 0 29469 0 29470 0 29471 0 29472 0 29473 0 29474 0 29475 0 29476 0 29477 1 29478 0 29479 0 29480 0 29481 0 29482 0 29483 0 29484 0 29485 1 29486 0 29487 0 29488 0 29489 0 29490 0 29491 0 29492 0 29493 0 29494 0 29495 0 29496 0 29497 0 29498 0 29499 0 29500 0 29501 1 29502 0 29503 0 29504 0 29505 0 29506 0 29507 0 29508 0 29509 0 29510 0 29511 0 29512 0 29513 0 29514 0 29515 0 29516 0 29517 0 29518 0 29519 0 29520 0 29521 0 29522 0 29523 0 29524 0 29525 0 29526 0 29527 0 29528 0 29529 0 29530 0 29531 0 29532 0 29533 0 29534 0 29535 0 29536 0 29537 0 29538 0 29539 0 29540 0 29541 0 29542 0 29543 0 29544 0 29545 0 29546 0 29547 0 29548 0 29549 0 29550 0 29551 0 29552 0 29553 0 29554 0 29555 0 29556 0 29557 0 29558 0 29559 0 29560 0 29561 0 29562 0 29563 0 29564 0 29565 0 29566 0 29567 0 29568 0 29569 0 29570 0 29571 0 29572 0 29573 0 29574 0 29575 0 29576 0 29577 0 29578 0 29579 0 29580 0 29581 0 29582 0 29583 0 29584 0 29585 0 29586 0 29587 0 29588 0 29589 0 29590 0 29591 0 29592 0 29593 0 29594 0 29595 0 29596 0 29597 0 29598 0 29599 0 29600 0 29601 0 29602 0 29603 0 29604 0 29605 0 29606 0 29607 0 29608 0 29609 0 29610 0 29611 0 29612 0 29613 0 29614 0 29615 0 29616 0 29617 0 29618 0 29619 0 29620 0 29621 0 29622 0 29623 0 29624 0 29625 1 29626 0 29627 0 29628 0 29629 0 29630 0 29631 0 29632 0 29633 0 29634 0 29635 0 29636 0 29637 0 29638 0 29639 0 29640 0 29641 0 29642 0 29643 0 29644 0 29645 0 29646 0 29647 0 29648 0 29649 0 29650 0 29651 0 29652 0 29653 0 29654 0 29655 0 29656 0 29657 0 29658 0 29659 0 29660 0 29661 0 29662 0 29663 0 29664 0 29665 0 29666 0 29667 0 29668 0 29669 1 29670 0 29671 0 29672 0 29673 0 29674 0 29675 0 29676 0 29677 0 29678 0 29679 0 29680 0 29681 0 29682 0 29683 0 29684 0 29685 0 29686 0 29687 0 29688 0 29689 0 29690 0 29691 0 29692 0 29693 0 29694 0 29695 0 29696 0 29697 0 29698 0 29699 0 29700 0 29701 0 29702 0 29703 0 29704 0 29705 0 29706 0 29707 0 29708 0 29709 0 29710 0 29711 0 29712 0 29713 0 29714 0 29715 0 29716 0 29717 0 29718 0 29719 0 29720 0 29721 0 29722 0 29723 0 29724 0 29725 0 29726 0 29727 0 29728 0 29729 0 29730 0 29731 0 29732 0 29733 0 29734 0 29735 0 29736 0 29737 0 29738 0 29739 0 29740 0 29741 0 29742 0 29743 0 29744 0 29745 0 29746 0 29747 0 29748 0 29749 0 29750 0 29751 0 29752 0 29753 0 29754 0 29755 0 29756 0 29757 0 29758 0 29759 0 29760 0 29761 0 29762 0 29763 0 29764 0 29765 0 29766 0 29767 0 29768 0 29769 0 29770 0 29771 0 29772 0 29773 0 29774 0 29775 0 29776 0 29777 0 29778 0 29779 0 29780 0 29781 0 29782 0 29783 0 29784 0 29785 0 29786 0 29787 0 29788 0 29789 0 29790 0 29791 0 29792 0 29793 0 29794 0 29795 0 29796 0 29797 0 29798 0 29799 0 29800 0 29801 0 29802 0 29803 0 29804 0 29805 0 29806 0 29807 0 29808 0 29809 0 29810 0 29811 0 29812 0 29813 0 29814 0 29815 0 29816 0 29817 0 29818 0 29819 0 29820 0 29821 0 29822 0 29823 0 29824 0 29825 0 29826 0 29827 0 29828 0 29829 0 29830 0 29831 0 29832 0 29833 0 29834 0 29835 0 29836 0 29837 0 29838 0 29839 0 29840 0 29841 0 29842 0 29843 0 29844 0 29845 0 29846 0 29847 0 29848 0 29849 0 29850 0 29851 0 29852 0 29853 0 29854 0 29855 0 29856 0 29857 0 29858 0 29859 0 29860 0 29861 0 29862 0 29863 0 29864 0 29865 1 29866 0 29867 0 29868 0 29869 0 29870 0 29871 0 29872 0 29873 0 29874 0 29875 0 29876 0 29877 0 29878 0 29879 0 29880 0 29881 0 29882 0 29883 0 29884 0 29885 0 29886 0 29887 0 29888 0 29889 0 29890 0 29891 0 29892 0 29893 0 29894 0 29895 0 29896 0 29897 1 29898 0 29899 0 29900 0 29901 0 29902 0 29903 0 29904 0 29905 0 29906 0 29907 0 29908 0 29909 0 29910 0 29911 0 29912 0 29913 0 29914 0 29915 0 29916 0 29917 0 29918 0 29919 0 29920 0 29921 0 29922 0 29923 0 29924 0 29925 0 29926 0 29927 0 29928 0 29929 0 29930 0 29931 0 29932 0 29933 0 29934 0 29935 0 29936 0 29937 0 29938 0 29939 0 29940 0 29941 0 29942 0 29943 0 29944 0 29945 0 29946 0 29947 0 29948 0 29949 0 29950 0 29951 0 29952 0 29953 0 29954 0 29955 0 29956 0 29957 0 29958 0 29959 0 29960 0 29961 0 29962 0 29963 0 29964 0 29965 0 29966 0 29967 0 29968 0 29969 0 29970 0 29971 0 29972 0 29973 0 29974 0 29975 0 29976 0 29977 0 29978 0 29979 0 29980 0 29981 0 29982 0 29983 0 29984 0 29985 0 29986 0 29987 0 29988 0 29989 0 29990 0 29991 0 29992 0 29993 0 29994 0 29995 0 29996 0 29997 0 29998 0 29999 0 30000 0 39: Average symbolic conclusion length is 152695091/63152 ≈ 2417.90. (Median: 1239) There are 87 minimal D-proofs with conclusions of even symbolic length, and there are 63065 minimal D-proofs with conclusions of odd symbolic length. [87/63152 ≈ 0.14% even] 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 10 0 11 0 12 0 13 0 14 0 15 0 16 0 17 0 18 0 19 0 20 0 21 0 22 0 23 1 24 0 25 0 26 0 27 0 28 0 29 1 30 0 31 1 32 0 33 1 34 0 35 0 36 0 37 0 38 0 39 0 40 1 41 3 42 0 43 1 44 0 45 4 46 0 47 4 48 0 49 11 50 0 51 5 52 2 53 5 54 0 55 3 56 0 57 4 58 0 59 4 60 0 61 4 62 0 63 2 64 0 65 14 66 0 67 4 68 0 69 6 70 1 71 11 72 0 73 15 74 1 75 18 76 0 77 10 78 0 79 12 80 0 81 12 82 0 83 9 84 1 85 13 86 0 87 3 88 0 89 11 90 0 91 20 92 0 93 11 94 0 95 10 96 0 97 22 98 0 99 15 100 1 101 24 102 0 103 22 104 0 105 29 106 0 107 11 108 1 109 26 110 0 111 17 112 0 113 33 114 0 115 17 116 0 117 23 118 0 119 23 120 0 121 23 122 1 123 11 124 0 125 20 126 0 127 13 128 0 129 39 130 0 131 17 132 0 133 24 134 0 135 16 136 0 137 32 138 0 139 25 140 0 141 37 142 0 143 20 144 0 145 39 146 4 147 18 148 0 149 40 150 1 151 25 152 0 153 38 154 0 155 17 156 1 157 39 158 0 159 24 160 1 161 32 162 0 163 26 164 0 165 43 166 0 167 15 168 0 169 59 170 0 171 22 172 0 173 34 174 0 175 25 176 1 177 30 178 0 179 29 180 0 181 55 182 0 183 33 184 0 185 44 186 1 187 21 188 0 189 47 190 0 191 27 192 0 193 54 194 0 195 30 196 0 197 48 198 0 199 27 200 1 201 51 202 0 203 36 204 0 205 65 206 0 207 25 208 0 209 59 210 0 211 21 212 0 213 56 214 0 215 37 216 0 217 63 218 0 219 22 220 0 221 64 222 0 223 32 224 0 225 65 226 0 227 38 228 1 229 61 230 0 231 25 232 0 233 70 234 0 235 23 236 0 237 65 238 1 239 32 240 0 241 64 242 1 243 26 244 0 245 75 246 2 247 32 248 1 249 60 250 0 251 30 252 0 253 71 254 1 255 36 256 0 257 73 258 0 259 38 260 0 261 86 262 0 263 42 264 0 265 71 266 0 267 42 268 0 269 89 270 0 271 25 272 0 273 82 274 1 275 39 276 0 277 75 278 0 279 36 280 0 281 81 282 0 283 28 284 0 285 84 286 0 287 45 288 0 289 82 290 0 291 43 292 0 293 84 294 0 295 40 296 0 297 98 298 1 299 43 300 0 301 105 302 0 303 35 304 0 305 96 306 0 307 34 308 0 309 72 310 0 311 36 312 1 313 70 314 2 315 45 316 0 317 71 318 0 319 41 320 0 321 96 322 0 323 31 324 1 325 96 326 0 327 40 328 0 329 105 330 0 331 38 332 0 333 90 334 0 335 47 336 0 337 99 338 0 339 36 340 0 341 115 342 0 343 39 344 0 345 90 346 1 347 31 348 1 349 76 350 0 351 40 352 0 353 89 354 0 355 33 356 1 357 91 358 0 359 38 360 0 361 120 362 0 363 36 364 0 365 96 366 0 367 38 368 0 369 97 370 0 371 39 372 0 373 98 374 1 375 33 376 0 377 118 378 0 379 41 380 1 381 81 382 0 383 43 384 0 385 102 386 0 387 68 388 0 389 99 390 0 391 39 392 0 393 95 394 0 395 44 396 1 397 105 398 0 399 53 400 0 401 86 402 1 403 30 404 0 405 94 406 0 407 46 408 1 409 89 410 1 411 40 412 0 413 126 414 1 415 36 416 1 417 108 418 0 419 53 420 1 421 96 422 0 423 35 424 0 425 92 426 0 427 42 428 0 429 106 430 0 431 35 432 1 433 90 434 0 435 50 436 0 437 95 438 1 439 33 440 0 441 95 442 0 443 41 444 0 445 97 446 0 447 44 448 0 449 90 450 1 451 49 452 1 453 108 454 0 455 58 456 1 457 107 458 0 459 40 460 1 461 86 462 0 463 50 464 0 465 125 466 1 467 34 468 0 469 108 470 0 471 31 472 1 473 91 474 0 475 42 476 0 477 108 478 1 479 55 480 0 481 120 482 0 483 42 484 0 485 93 486 0 487 50 488 0 489 86 490 0 491 33 492 0 493 107 494 0 495 29 496 0 497 104 498 0 499 39 500 0 501 93 502 0 503 31 504 0 505 93 506 0 507 40 508 0 509 90 510 1 511 29 512 0 513 107 514 0 515 28 516 0 517 89 518 0 519 43 520 1 521 105 522 0 523 40 524 0 525 111 526 0 527 47 528 0 529 96 530 0 531 46 532 1 533 109 534 0 535 48 536 0 537 98 538 0 539 38 540 0 541 100 542 0 543 44 544 0 545 106 546 0 547 26 548 0 549 95 550 0 551 33 552 1 553 100 554 0 555 41 556 0 557 97 558 0 559 35 560 1 561 97 562 0 563 33 564 0 565 108 566 0 567 47 568 0 569 103 570 1 571 46 572 0 573 87 574 0 575 28 576 0 577 93 578 0 579 34 580 0 581 95 582 0 583 35 584 0 585 108 586 0 587 48 588 0 589 82 590 0 591 38 592 0 593 91 594 0 595 42 596 0 597 104 598 0 599 39 600 0 601 96 602 0 603 32 604 0 605 103 606 0 607 34 608 0 609 94 610 0 611 30 612 0 613 104 614 0 615 37 616 0 617 115 618 0 619 33 620 0 621 94 622 0 623 29 624 0 625 82 626 0 627 44 628 0 629 91 630 0 631 38 632 0 633 96 634 0 635 30 636 0 637 100 638 0 639 22 640 0 641 112 642 0 643 22 644 1 645 102 646 0 647 39 648 0 649 91 650 0 651 32 652 0 653 87 654 0 655 36 656 0 657 109 658 0 659 32 660 0 661 104 662 0 663 31 664 0 665 104 666 0 667 38 668 0 669 113 670 0 671 41 672 0 673 108 674 0 675 27 676 0 677 94 678 0 679 26 680 0 681 86 682 0 683 35 684 1 685 101 686 0 687 32 688 0 689 101 690 0 691 29 692 0 693 103 694 0 695 35 696 0 697 101 698 0 699 29 700 0 701 105 702 1 703 31 704 0 705 96 706 0 707 32 708 0 709 111 710 0 711 30 712 0 713 96 714 0 715 28 716 0 717 88 718 0 719 27 720 0 721 97 722 0 723 21 724 0 725 89 726 0 727 31 728 0 729 95 730 0 731 22 732 0 733 79 734 0 735 34 736 0 737 103 738 0 739 28 740 0 741 93 742 0 743 37 744 0 745 91 746 0 747 24 748 0 749 102 750 1 751 27 752 0 753 106 754 0 755 46 756 0 757 103 758 0 759 29 760 0 761 101 762 0 763 20 764 0 765 82 766 0 767 33 768 0 769 98 770 0 771 25 772 0 773 91 774 0 775 29 776 1 777 89 778 0 779 25 780 0 781 83 782 0 783 33 784 0 785 92 786 0 787 21 788 0 789 81 790 0 791 25 792 0 793 100 794 1 795 35 796 1 797 91 798 0 799 17 800 0 801 81 802 0 803 28 804 0 805 61 806 0 807 12 808 0 809 78 810 0 811 23 812 0 813 92 814 0 815 35 816 1 817 95 818 0 819 26 820 0 821 100 822 0 823 24 824 0 825 101 826 0 827 26 828 0 829 72 830 0 831 29 832 0 833 93 834 0 835 28 836 0 837 94 838 0 839 17 840 0 841 75 842 0 843 33 844 0 845 75 846 0 847 34 848 0 849 92 850 0 851 25 852 1 853 83 854 2 855 33 856 0 857 89 858 0 859 22 860 0 861 92 862 1 863 26 864 1 865 103 866 0 867 31 868 0 869 79 870 0 871 27 872 0 873 94 874 0 875 29 876 0 877 88 878 0 879 20 880 0 881 75 882 0 883 25 884 0 885 78 886 0 887 24 888 0 889 88 890 0 891 33 892 0 893 84 894 0 895 20 896 0 897 86 898 0 899 27 900 0 901 70 902 0 903 18 904 0 905 90 906 0 907 26 908 0 909 79 910 0 911 21 912 0 913 80 914 0 915 15 916 0 917 86 918 0 919 16 920 0 921 70 922 1 923 19 924 0 925 76 926 0 927 16 928 0 929 75 930 0 931 23 932 0 933 79 934 0 935 30 936 0 937 82 938 1 939 21 940 0 941 76 942 1 943 14 944 0 945 79 946 0 947 23 948 0 949 83 950 0 951 24 952 0 953 71 954 0 955 26 956 0 957 83 958 0 959 29 960 0 961 68 962 0 963 21 964 0 965 79 966 0 967 20 968 1 969 68 970 0 971 16 972 0 973 82 974 0 975 26 976 0 977 83 978 0 979 24 980 0 981 72 982 0 983 23 984 0 985 71 986 0 987 18 988 0 989 80 990 0 991 22 992 0 993 78 994 0 995 27 996 0 997 81 998 0 999 21 1000 0 1001 63 1002 0 1003 15 1004 0 1005 73 1006 0 1007 12 1008 0 1009 91 1010 0 1011 16 1012 0 1013 67 1014 0 1015 23 1016 0 1017 80 1018 0 1019 22 1020 0 1021 80 1022 0 1023 25 1024 0 1025 76 1026 0 1027 18 1028 0 1029 79 1030 0 1031 19 1032 0 1033 64 1034 0 1035 33 1036 0 1037 91 1038 0 1039 19 1040 0 1041 76 1042 0 1043 20 1044 0 1045 81 1046 0 1047 20 1048 0 1049 60 1050 0 1051 11 1052 0 1053 64 1054 0 1055 14 1056 0 1057 55 1058 0 1059 20 1060 0 1061 71 1062 0 1063 32 1064 0 1065 75 1066 0 1067 18 1068 0 1069 59 1070 0 1071 19 1072 0 1073 60 1074 0 1075 15 1076 0 1077 69 1078 0 1079 17 1080 0 1081 77 1082 0 1083 15 1084 0 1085 74 1086 0 1087 28 1088 0 1089 73 1090 0 1091 17 1092 0 1093 69 1094 0 1095 24 1096 0 1097 68 1098 0 1099 18 1100 0 1101 93 1102 0 1103 27 1104 0 1105 65 1106 0 1107 12 1108 0 1109 67 1110 0 1111 7 1112 0 1113 70 1114 0 1115 19 1116 0 1117 60 1118 0 1119 18 1120 0 1121 57 1122 0 1123 13 1124 0 1125 59 1126 0 1127 15 1128 1 1129 78 1130 0 1131 19 1132 0 1133 76 1134 0 1135 22 1136 0 1137 70 1138 0 1139 16 1140 0 1141 55 1142 0 1143 24 1144 0 1145 76 1146 0 1147 21 1148 0 1149 62 1150 0 1151 15 1152 0 1153 68 1154 0 1155 16 1156 0 1157 73 1158 0 1159 13 1160 0 1161 82 1162 0 1163 15 1164 0 1165 65 1166 0 1167 11 1168 0 1169 59 1170 1 1171 20 1172 0 1173 44 1174 0 1175 18 1176 0 1177 81 1178 0 1179 13 1180 0 1181 55 1182 0 1183 13 1184 0 1185 73 1186 0 1187 19 1188 0 1189 66 1190 0 1191 13 1192 0 1193 69 1194 0 1195 5 1196 0 1197 67 1198 0 1199 14 1200 0 1201 71 1202 0 1203 19 1204 0 1205 73 1206 0 1207 15 1208 0 1209 67 1210 0 1211 7 1212 0 1213 59 1214 0 1215 16 1216 0 1217 70 1218 0 1219 19 1220 0 1221 58 1222 0 1223 13 1224 0 1225 61 1226 0 1227 20 1228 0 1229 68 1230 0 1231 19 1232 0 1233 63 1234 0 1235 13 1236 0 1237 51 1238 0 1239 20 1240 0 1241 72 1242 0 1243 18 1244 0 1245 50 1246 0 1247 16 1248 0 1249 73 1250 0 1251 12 1252 0 1253 65 1254 0 1255 16 1256 0 1257 54 1258 0 1259 12 1260 0 1261 59 1262 0 1263 13 1264 0 1265 62 1266 0 1267 16 1268 0 1269 61 1270 0 1271 16 1272 0 1273 65 1274 0 1275 13 1276 0 1277 71 1278 0 1279 12 1280 0 1281 53 1282 0 1283 12 1284 0 1285 67 1286 0 1287 18 1288 0 1289 74 1290 0 1291 13 1292 0 1293 63 1294 0 1295 15 1296 0 1297 60 1298 0 1299 12 1300 0 1301 70 1302 0 1303 8 1304 0 1305 65 1306 0 1307 19 1308 0 1309 58 1310 0 1311 11 1312 0 1313 56 1314 0 1315 19 1316 0 1317 62 1318 0 1319 7 1320 0 1321 61 1322 0 1323 14 1324 0 1325 59 1326 0 1327 13 1328 0 1329 67 1330 0 1331 12 1332 0 1333 50 1334 0 1335 11 1336 0 1337 52 1338 0 1339 13 1340 0 1341 57 1342 0 1343 17 1344 0 1345 58 1346 0 1347 11 1348 0 1349 47 1350 0 1351 16 1352 0 1353 63 1354 0 1355 11 1356 0 1357 55 1358 0 1359 12 1360 0 1361 64 1362 0 1363 12 1364 0 1365 52 1366 0 1367 14 1368 0 1369 60 1370 0 1371 18 1372 0 1373 65 1374 0 1375 16 1376 0 1377 54 1378 0 1379 12 1380 1 1381 47 1382 0 1383 10 1384 0 1385 57 1386 0 1387 13 1388 0 1389 56 1390 0 1391 14 1392 0 1393 48 1394 0 1395 15 1396 0 1397 65 1398 0 1399 8 1400 0 1401 59 1402 0 1403 15 1404 0 1405 49 1406 0 1407 21 1408 0 1409 55 1410 0 1411 13 1412 0 1413 48 1414 0 1415 11 1416 0 1417 59 1418 0 1419 10 1420 0 1421 59 1422 1 1423 7 1424 0 1425 63 1426 0 1427 6 1428 0 1429 55 1430 0 1431 12 1432 0 1433 59 1434 0 1435 12 1436 0 1437 49 1438 1 1439 10 1440 0 1441 55 1442 0 1443 14 1444 0 1445 53 1446 0 1447 10 1448 0 1449 55 1450 0 1451 11 1452 0 1453 63 1454 0 1455 10 1456 1 1457 48 1458 0 1459 12 1460 0 1461 44 1462 0 1463 9 1464 0 1465 49 1466 0 1467 14 1468 0 1469 53 1470 0 1471 9 1472 0 1473 61 1474 0 1475 12 1476 0 1477 49 1478 0 1479 5 1480 0 1481 69 1482 0 1483 14 1484 0 1485 49 1486 0 1487 12 1488 0 1489 43 1490 0 1491 8 1492 0 1493 48 1494 0 1495 15 1496 0 1497 47 1498 0 1499 16 1500 0 1501 43 1502 0 1503 10 1504 0 1505 57 1506 0 1507 11 1508 0 1509 56 1510 0 1511 9 1512 0 1513 61 1514 0 1515 12 1516 0 1517 39 1518 0 1519 9 1520 0 1521 50 1522 0 1523 12 1524 0 1525 38 1526 0 1527 8 1528 0 1529 58 1530 0 1531 11 1532 0 1533 57 1534 0 1535 7 1536 0 1537 55 1538 0 1539 17 1540 0 1541 42 1542 0 1543 18 1544 0 1545 48 1546 0 1547 11 1548 0 1549 50 1550 0 1551 6 1552 1 1553 38 1554 0 1555 4 1556 0 1557 34 1558 0 1559 8 1560 0 1561 44 1562 0 1563 11 1564 0 1565 54 1566 0 1567 8 1568 0 1569 51 1570 0 1571 9 1572 0 1573 50 1574 0 1575 11 1576 0 1577 55 1578 0 1579 8 1580 0 1581 50 1582 0 1583 12 1584 0 1585 37 1586 0 1587 10 1588 0 1589 42 1590 0 1591 4 1592 0 1593 59 1594 0 1595 16 1596 0 1597 50 1598 0 1599 14 1600 0 1601 38 1602 0 1603 6 1604 0 1605 54 1606 0 1607 12 1608 0 1609 41 1610 0 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28693 0 28694 0 28695 0 28696 0 28697 0 28698 0 28699 0 28700 0 28701 0 28702 0 28703 0 28704 0 28705 1 28706 0 28707 0 28708 0 28709 1 28710 0 28711 0 28712 0 28713 0 28714 0 28715 0 28716 0 28717 0 28718 0 28719 0 28720 0 28721 0 28722 0 28723 0 28724 0 28725 0 28726 0 28727 0 28728 0 28729 0 28730 0 28731 0 28732 0 28733 1 28734 0 28735 0 28736 0 28737 0 28738 0 28739 0 28740 0 28741 0 28742 0 28743 0 28744 0 28745 0 28746 0 28747 0 28748 0 28749 1 28750 0 28751 0 28752 0 28753 0 28754 0 28755 0 28756 0 28757 0 28758 0 28759 0 28760 0 28761 0 28762 0 28763 0 28764 0 28765 0 28766 0 28767 0 28768 0 28769 0 28770 0 28771 0 28772 0 28773 0 28774 0 28775 0 28776 0 28777 1 28778 0 28779 0 28780 0 28781 0 28782 0 28783 0 28784 0 28785 0 28786 0 28787 0 28788 0 28789 0 28790 0 28791 0 28792 0 28793 0 28794 0 28795 0 28796 0 28797 0 28798 0 28799 0 28800 0 28801 1 28802 0 28803 0 28804 0 28805 0 28806 0 28807 0 28808 0 28809 0 28810 0 28811 0 28812 0 28813 0 28814 0 28815 0 28816 0 28817 0 28818 0 28819 0 28820 0 28821 0 28822 0 28823 0 28824 0 28825 1 28826 0 28827 0 28828 0 28829 0 28830 0 28831 0 28832 0 28833 1 28834 0 28835 0 28836 0 28837 0 28838 0 28839 0 28840 0 28841 0 28842 0 28843 0 28844 0 28845 1 28846 0 28847 0 28848 0 28849 0 28850 0 28851 0 28852 0 28853 0 28854 0 28855 0 28856 0 28857 0 28858 0 28859 0 28860 0 28861 0 28862 0 28863 0 28864 0 28865 0 28866 0 28867 0 28868 0 28869 0 28870 0 28871 0 28872 0 28873 0 28874 0 28875 0 28876 0 28877 0 28878 0 28879 0 28880 0 28881 0 28882 0 28883 0 28884 0 28885 0 28886 0 28887 0 28888 0 28889 0 28890 0 28891 0 28892 0 28893 0 28894 0 28895 0 28896 0 28897 1 28898 0 28899 0 28900 0 28901 0 28902 0 28903 0 28904 0 28905 0 28906 0 28907 0 28908 0 28909 0 28910 0 28911 0 28912 0 28913 0 28914 0 28915 0 28916 0 28917 0 28918 0 28919 0 28920 0 28921 0 28922 0 28923 0 28924 0 28925 0 28926 0 28927 0 28928 0 28929 0 28930 0 28931 0 28932 0 28933 0 28934 0 28935 0 28936 0 28937 0 28938 0 28939 0 28940 0 28941 0 28942 0 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29068 0 29069 0 29070 0 29071 0 29072 0 29073 0 29074 0 29075 0 29076 0 29077 2 29078 0 29079 0 29080 0 29081 0 29082 0 29083 0 29084 0 29085 0 29086 0 29087 0 29088 0 29089 0 29090 0 29091 0 29092 0 29093 0 29094 0 29095 0 29096 0 29097 0 29098 0 29099 0 29100 0 29101 0 29102 0 29103 0 29104 0 29105 0 29106 0 29107 0 29108 0 29109 0 29110 0 29111 0 29112 0 29113 0 29114 0 29115 0 29116 0 29117 0 29118 0 29119 0 29120 0 29121 0 29122 0 29123 0 29124 0 29125 0 29126 0 29127 0 29128 0 29129 0 29130 0 29131 0 29132 0 29133 0 29134 0 29135 0 29136 0 29137 0 29138 0 29139 0 29140 0 29141 0 29142 0 29143 0 29144 0 29145 0 29146 0 29147 0 29148 0 29149 0 29150 0 29151 0 29152 0 29153 0 29154 0 29155 0 29156 0 29157 0 29158 0 29159 0 29160 0 29161 0 29162 0 29163 0 29164 0 29165 0 29166 0 29167 0 29168 0 29169 0 29170 0 29171 0 29172 0 29173 0 29174 0 29175 0 29176 0 29177 0 29178 0 29179 0 29180 0 29181 0 29182 0 29183 0 29184 0 29185 0 29186 0 29187 0 29188 0 29189 0 29190 0 29191 0 29192 0 29193 0 29194 0 29195 0 29196 0 29197 0 29198 0 29199 0 29200 0 29201 0 29202 0 29203 0 29204 0 29205 0 29206 0 29207 0 29208 0 29209 0 29210 0 29211 0 29212 0 29213 1 29214 0 29215 0 29216 0 29217 1 29218 0 29219 0 29220 0 29221 0 29222 0 29223 0 29224 0 29225 0 29226 0 29227 0 29228 0 29229 0 29230 0 29231 0 29232 0 29233 0 29234 0 29235 0 29236 0 29237 0 29238 0 29239 0 29240 0 29241 0 29242 0 29243 0 29244 0 29245 0 29246 0 29247 0 29248 0 29249 0 29250 0 29251 0 29252 0 29253 0 29254 0 29255 0 29256 0 29257 0 29258 0 29259 0 29260 0 29261 0 29262 0 29263 0 29264 0 29265 0 29266 0 29267 0 29268 0 29269 0 29270 0 29271 0 29272 0 29273 0 29274 0 29275 0 29276 0 29277 1 29278 0 29279 0 29280 0 29281 0 29282 0 29283 0 29284 0 29285 0 29286 0 29287 0 29288 0 29289 0 29290 0 29291 0 29292 0 29293 0 29294 0 29295 0 29296 0 29297 0 29298 0 29299 0 29300 0 29301 0 29302 0 29303 0 29304 0 29305 0 29306 0 29307 0 29308 0 29309 0 29310 0 29311 0 29312 0 29313 0 29314 0 29315 0 29316 0 29317 0 29318 0 29319 0 29320 0 29321 0 29322 0 29323 0 29324 0 29325 0 29326 0 29327 0 29328 0 29329 0 29330 0 29331 0 29332 0 29333 0 29334 0 29335 0 29336 0 29337 0 29338 0 29339 0 29340 0 29341 0 29342 0 29343 0 29344 0 29345 0 29346 0 29347 0 29348 0 29349 0 29350 0 29351 0 29352 0 29353 1 29354 0 29355 0 29356 0 29357 0 29358 0 29359 0 29360 0 29361 0 29362 0 29363 0 29364 0 29365 1 29366 0 29367 0 29368 0 29369 0 29370 0 29371 0 29372 0 29373 0 29374 0 29375 0 29376 0 29377 0 29378 0 29379 0 29380 0 29381 0 29382 0 29383 0 29384 0 29385 1 29386 0 29387 0 29388 0 29389 0 29390 0 29391 0 29392 0 29393 0 29394 0 29395 0 29396 0 29397 0 29398 0 29399 0 29400 0 29401 0 29402 0 29403 0 29404 0 29405 0 29406 0 29407 0 29408 0 29409 0 29410 0 29411 0 29412 0 29413 0 29414 0 29415 0 29416 0 29417 0 29418 0 29419 0 29420 0 29421 0 29422 0 29423 0 29424 0 29425 0 29426 0 29427 0 29428 0 29429 0 29430 0 29431 0 29432 0 29433 0 29434 0 29435 0 29436 0 29437 0 29438 0 29439 0 29440 0 29441 0 29442 0 29443 0 29444 0 29445 0 29446 0 29447 0 29448 0 29449 0 29450 0 29451 0 29452 0 29453 0 29454 0 29455 0 29456 0 29457 0 29458 0 29459 0 29460 0 29461 0 29462 0 29463 0 29464 0 29465 0 29466 0 29467 0 29468 0 29469 1 29470 0 29471 0 29472 0 29473 0 29474 0 29475 0 29476 0 29477 0 29478 0 29479 0 29480 0 29481 0 29482 0 29483 0 29484 0 29485 0 29486 0 29487 0 29488 0 29489 0 29490 0 29491 0 29492 0 29493 0 29494 0 29495 0 29496 0 29497 0 29498 0 29499 0 29500 0 29501 0 29502 0 29503 0 29504 0 29505 0 29506 0 29507 0 29508 0 29509 0 29510 0 29511 0 29512 0 29513 0 29514 0 29515 0 29516 0 29517 0 29518 0 29519 0 29520 0 29521 0 29522 0 29523 0 29524 0 29525 0 29526 0 29527 0 29528 0 29529 0 29530 0 29531 0 29532 0 29533 0 29534 0 29535 0 29536 0 29537 1 29538 0 29539 0 29540 0 29541 0 29542 0 29543 0 29544 0 29545 0 29546 0 29547 0 29548 0 29549 0 29550 0 29551 0 29552 0 29553 0 29554 0 29555 0 29556 0 29557 0 29558 0 29559 0 29560 0 29561 0 29562 0 29563 0 29564 0 29565 0 29566 0 29567 0 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29693 0 29694 0 29695 0 29696 0 29697 2 29698 0 29699 0 29700 0 29701 0 29702 0 29703 0 29704 0 29705 0 29706 0 29707 0 29708 0 29709 0 29710 0 29711 0 29712 0 29713 0 29714 0 29715 0 29716 0 29717 0 29718 0 29719 0 29720 0 29721 0 29722 0 29723 0 29724 0 29725 0 29726 0 29727 0 29728 0 29729 0 29730 0 29731 0 29732 0 29733 0 29734 0 29735 0 29736 0 29737 0 29738 0 29739 0 29740 0 29741 0 29742 0 29743 0 29744 0 29745 0 29746 0 29747 0 29748 0 29749 0 29750 0 29751 0 29752 0 29753 0 29754 0 29755 0 29756 0 29757 0 29758 0 29759 0 29760 0 29761 0 29762 0 29763 0 29764 0 29765 0 29766 0 29767 0 29768 0 29769 0 29770 0 29771 0 29772 0 29773 0 29774 0 29775 0 29776 0 29777 0 29778 0 29779 0 29780 0 29781 0 29782 0 29783 0 29784 0 29785 0 29786 0 29787 0 29788 0 29789 0 29790 0 29791 0 29792 0 29793 0 29794 0 29795 0 29796 0 29797 0 29798 0 29799 0 29800 0 29801 0 29802 0 29803 0 29804 0 29805 0 29806 0 29807 0 29808 0 29809 0 29810 0 29811 0 29812 0 29813 0 29814 0 29815 0 29816 0 29817 0 29818 0 29819 0 29820 0 29821 0 29822 0 29823 0 29824 0 29825 1 29826 0 29827 0 29828 0 29829 0 29830 0 29831 0 29832 0 29833 0 29834 0 29835 0 29836 0 29837 0 29838 0 29839 0 29840 0 29841 0 29842 0 29843 0 29844 0 29845 1 29846 0 29847 0 29848 0 29849 0 29850 0 29851 0 29852 0 29853 0 29854 0 29855 0 29856 0 29857 0 29858 0 29859 0 29860 0 29861 0 29862 0 29863 0 29864 0 29865 0 29866 0 29867 0 29868 0 29869 1 29870 0 29871 0 29872 0 29873 0 29874 0 29875 0 29876 0 29877 0 29878 0 29879 0 29880 0 29881 0 29882 0 29883 0 29884 0 29885 0 29886 0 29887 0 29888 0 29889 0 29890 0 29891 0 29892 0 29893 0 29894 0 29895 0 29896 0 29897 1 29898 0 29899 0 29900 0 29901 0 29902 0 29903 0 29904 0 29905 0 29906 0 29907 0 29908 0 29909 0 29910 0 29911 0 29912 0 29913 0 29914 0 29915 0 29916 0 29917 0 29918 0 29919 0 29920 0 29921 0 29922 0 29923 0 29924 0 29925 0 29926 0 29927 0 29928 0 29929 0 29930 0 29931 0 29932 0 29933 0 29934 0 29935 0 29936 0 29937 0 29938 0 29939 0 29940 0 29941 0 29942 0 29943 0 29944 0 29945 0 29946 0 29947 0 29948 0 29949 0 29950 0 29951 0 29952 0 29953 0 29954 0 29955 0 29956 0 29957 0 29958 0 29959 0 29960 0 29961 0 29962 0 29963 0 29964 0 29965 0 29966 0 29967 0 29968 0 29969 0 29970 0 29971 0 29972 0 29973 0 29974 0 29975 0 29976 0 29977 0 29978 0 29979 0 29980 0 29981 0 29982 0 29983 0 29984 0 29985 0 29986 0 29987 0 29988 0 29989 0 29990 0 29991 0 29992 0 29993 0 29994 0 29995 0 29996 0 29997 0 29998 0 29999 0 30000 0 41: Average symbolic conclusion length is 360963782/125873 ≈ 2867.68. (Median: 1421) There are 187 minimal D-proofs with conclusions of even symbolic length, and there are 125686 minimal D-proofs with conclusions of odd symbolic length. [187/125873 ≈ 0.15% even] 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 10 0 11 0 12 0 13 0 14 0 15 0 16 0 17 0 18 0 19 0 20 0 21 0 22 0 23 0 24 0 25 2 26 0 27 0 28 0 29 4 30 3 31 3 32 0 33 2 34 0 35 0 36 0 37 0 38 0 39 1 40 0 41 1 42 0 43 1 44 0 45 3 46 0 47 1 48 0 49 3 50 1 51 2 52 0 53 3 54 1 55 1 56 2 57 0 58 3 59 3 60 0 61 7 62 0 63 14 64 0 65 16 66 2 67 8 68 3 69 17 70 0 71 13 72 0 73 9 74 0 75 10 76 0 77 20 78 0 79 13 80 0 81 4 82 0 83 13 84 2 85 14 86 0 87 16 88 1 89 35 90 1 91 16 92 0 93 31 94 0 95 22 96 0 97 28 98 0 99 17 100 0 101 27 102 0 103 19 104 0 105 31 106 0 107 29 108 0 109 37 110 0 111 22 112 1 113 42 114 0 115 34 116 0 117 36 118 0 119 38 120 0 121 39 122 0 123 35 124 0 125 34 126 0 127 32 128 1 129 47 130 0 131 23 132 0 133 41 134 0 135 39 136 0 137 56 138 0 139 38 140 0 141 35 142 1 143 33 144 1 145 56 146 0 147 45 148 0 149 57 150 0 151 40 152 1 153 74 154 0 155 38 156 0 157 76 158 0 159 39 160 2 161 61 162 1 163 48 164 0 165 62 166 0 167 39 168 0 169 53 170 1 171 46 172 1 173 71 174 1 175 49 176 0 177 76 178 0 179 55 180 0 181 80 182 1 183 28 184 0 185 80 186 0 187 53 188 1 189 89 190 0 191 56 192 0 193 83 194 0 195 54 196 1 197 79 198 1 199 54 200 2 201 74 202 0 203 51 204 0 205 109 206 0 207 29 208 0 209 103 210 2 211 49 212 0 213 86 214 0 215 53 216 0 217 93 218 0 219 57 220 0 221 107 222 0 223 56 224 0 225 104 226 0 227 59 228 0 229 111 230 0 231 51 232 0 233 95 234 0 235 44 236 1 237 108 238 0 239 52 240 0 241 111 242 0 243 54 244 0 245 115 246 1 247 51 248 1 249 101 250 3 251 47 252 1 253 120 254 1 255 61 256 0 257 120 258 1 259 39 260 2 261 105 262 1 263 59 264 1 265 115 266 0 267 66 268 0 269 107 270 1 271 52 272 1 273 107 274 0 275 51 276 0 277 95 278 0 279 53 280 1 281 97 282 0 283 48 284 1 285 116 286 0 287 54 288 1 289 137 290 0 291 64 292 0 293 131 294 0 295 70 296 0 297 118 298 1 299 58 300 0 301 108 302 2 303 67 304 0 305 134 306 0 307 63 308 0 309 153 310 0 311 56 312 0 313 129 314 0 315 52 316 0 317 135 318 0 319 57 320 0 321 159 322 1 323 61 324 0 325 145 326 0 327 51 328 1 329 155 330 1 331 63 332 0 333 145 334 1 335 53 336 0 337 147 338 1 339 73 340 0 341 140 342 0 343 61 344 1 345 140 346 1 347 59 348 0 349 149 350 0 351 59 352 0 353 155 354 0 355 67 356 1 357 170 358 0 359 73 360 0 361 146 362 0 363 66 364 1 365 163 366 1 367 68 368 0 369 121 370 1 371 71 372 0 373 161 374 0 375 66 376 0 377 143 378 0 379 62 380 0 381 154 382 1 383 59 384 0 385 167 386 0 387 68 388 0 389 139 390 0 391 77 392 0 393 155 394 0 395 60 396 1 397 156 398 1 399 66 400 0 401 149 402 3 403 62 404 1 405 178 406 3 407 59 408 1 409 150 410 0 411 71 412 1 413 175 414 0 415 64 416 0 417 149 418 1 419 72 420 1 421 170 422 1 423 73 424 1 425 181 426 2 427 82 428 1 429 182 430 0 431 83 432 0 433 162 434 0 435 62 436 0 437 156 438 0 439 57 440 1 441 145 442 0 443 82 444 1 445 176 446 1 447 60 448 0 449 195 450 0 451 74 452 1 453 177 454 0 455 74 456 0 457 160 458 0 459 70 460 1 461 171 462 0 463 67 464 0 465 174 466 0 467 64 468 0 469 162 470 0 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0 29313 0 29314 0 29315 0 29316 0 29317 0 29318 0 29319 0 29320 0 29321 0 29322 0 29323 0 29324 0 29325 0 29326 0 29327 0 29328 0 29329 0 29330 0 29331 0 29332 0 29333 0 29334 0 29335 0 29336 0 29337 0 29338 0 29339 0 29340 0 29341 0 29342 0 29343 0 29344 0 29345 0 29346 0 29347 0 29348 0 29349 0 29350 0 29351 0 29352 0 29353 1 29354 0 29355 0 29356 0 29357 0 29358 0 29359 0 29360 0 29361 0 29362 0 29363 0 29364 0 29365 0 29366 0 29367 0 29368 0 29369 0 29370 0 29371 0 29372 0 29373 0 29374 0 29375 0 29376 0 29377 0 29378 0 29379 0 29380 0 29381 0 29382 0 29383 0 29384 0 29385 0 29386 0 29387 0 29388 0 29389 0 29390 0 29391 0 29392 0 29393 0 29394 0 29395 0 29396 0 29397 0 29398 0 29399 0 29400 0 29401 0 29402 0 29403 0 29404 0 29405 1 29406 0 29407 0 29408 0 29409 0 29410 0 29411 0 29412 0 29413 0 29414 0 29415 0 29416 0 29417 0 29418 0 29419 0 29420 0 29421 0 29422 0 29423 0 29424 0 29425 0 29426 0 29427 0 29428 0 29429 0 29430 0 29431 0 29432 0 29433 1 29434 0 29435 0 29436 0 29437 1 29438 0 29439 0 29440 0 29441 1 29442 0 29443 0 29444 0 29445 0 29446 0 29447 0 29448 0 29449 0 29450 0 29451 0 29452 0 29453 0 29454 0 29455 0 29456 0 29457 0 29458 0 29459 0 29460 0 29461 0 29462 0 29463 0 29464 0 29465 1 29466 0 29467 0 29468 0 29469 0 29470 0 29471 0 29472 0 29473 0 29474 0 29475 0 29476 0 29477 0 29478 0 29479 0 29480 0 29481 0 29482 0 29483 0 29484 0 29485 0 29486 0 29487 0 29488 0 29489 0 29490 0 29491 0 29492 0 29493 0 29494 0 29495 0 29496 0 29497 0 29498 0 29499 0 29500 0 29501 1 29502 0 29503 0 29504 0 29505 0 29506 0 29507 0 29508 0 29509 0 29510 0 29511 0 29512 0 29513 0 29514 0 29515 0 29516 0 29517 1 29518 0 29519 0 29520 0 29521 0 29522 0 29523 0 29524 0 29525 0 29526 0 29527 0 29528 0 29529 0 29530 0 29531 0 29532 0 29533 0 29534 0 29535 0 29536 0 29537 1 29538 0 29539 0 29540 0 29541 0 29542 0 29543 0 29544 0 29545 1 29546 0 29547 0 29548 0 29549 0 29550 0 29551 0 29552 0 29553 0 29554 0 29555 0 29556 0 29557 1 29558 0 29559 0 29560 0 29561 0 29562 0 29563 0 29564 0 29565 0 29566 0 29567 0 29568 0 29569 0 29570 0 29571 0 29572 0 29573 1 29574 0 29575 0 29576 0 29577 0 29578 0 29579 0 29580 0 29581 0 29582 0 29583 0 29584 0 29585 0 29586 0 29587 0 29588 0 29589 0 29590 0 29591 0 29592 0 29593 1 29594 0 29595 0 29596 0 29597 0 29598 0 29599 0 29600 0 29601 0 29602 0 29603 1 29604 0 29605 0 29606 0 29607 0 29608 0 29609 1 29610 0 29611 0 29612 0 29613 0 29614 0 29615 0 29616 0 29617 0 29618 0 29619 0 29620 0 29621 0 29622 0 29623 0 29624 0 29625 0 29626 0 29627 0 29628 0 29629 0 29630 0 29631 0 29632 0 29633 0 29634 0 29635 0 29636 0 29637 0 29638 0 29639 0 29640 0 29641 0 29642 0 29643 0 29644 0 29645 1 29646 0 29647 0 29648 0 29649 0 29650 0 29651 0 29652 0 29653 1 29654 0 29655 0 29656 0 29657 0 29658 0 29659 0 29660 0 29661 0 29662 0 29663 0 29664 0 29665 1 29666 0 29667 0 29668 0 29669 0 29670 0 29671 0 29672 0 29673 1 29674 0 29675 0 29676 0 29677 0 29678 0 29679 0 29680 0 29681 1 29682 0 29683 0 29684 0 29685 0 29686 0 29687 0 29688 0 29689 1 29690 0 29691 0 29692 0 29693 0 29694 0 29695 0 29696 0 29697 1 29698 0 29699 0 29700 0 29701 0 29702 0 29703 0 29704 0 29705 0 29706 0 29707 0 29708 0 29709 0 29710 0 29711 0 29712 0 29713 0 29714 0 29715 0 29716 0 29717 0 29718 0 29719 0 29720 0 29721 0 29722 0 29723 0 29724 0 29725 0 29726 0 29727 0 29728 0 29729 0 29730 0 29731 0 29732 0 29733 0 29734 0 29735 0 29736 0 29737 0 29738 0 29739 0 29740 0 29741 0 29742 0 29743 0 29744 0 29745 0 29746 0 29747 0 29748 0 29749 1 29750 0 29751 0 29752 0 29753 0 29754 0 29755 0 29756 0 29757 1 29758 0 29759 0 29760 0 29761 0 29762 0 29763 0 29764 0 29765 1 29766 0 29767 0 29768 0 29769 1 29770 0 29771 0 29772 0 29773 1 29774 0 29775 0 29776 0 29777 0 29778 0 29779 0 29780 0 29781 1 29782 0 29783 0 29784 0 29785 0 29786 0 29787 0 29788 0 29789 0 29790 0 29791 0 29792 0 29793 3 29794 0 29795 0 29796 0 29797 0 29798 0 29799 0 29800 0 29801 0 29802 0 29803 0 29804 0 29805 0 29806 0 29807 0 29808 0 29809 0 29810 0 29811 0 29812 0 29813 0 29814 0 29815 0 29816 0 29817 0 29818 0 29819 0 29820 0 29821 0 29822 0 29823 0 29824 0 29825 0 29826 0 29827 0 29828 0 29829 0 29830 0 29831 0 29832 0 29833 0 29834 0 29835 0 29836 0 29837 0 29838 0 29839 0 29840 0 29841 0 29842 0 29843 0 29844 0 29845 0 29846 0 29847 0 29848 0 29849 0 29850 0 29851 0 29852 0 29853 0 29854 0 29855 0 29856 0 29857 0 29858 0 29859 0 29860 0 29861 0 29862 0 29863 0 29864 0 29865 0 29866 0 29867 0 29868 0 29869 0 29870 0 29871 0 29872 0 29873 0 29874 0 29875 0 29876 0 29877 0 29878 0 29879 0 29880 0 29881 1 29882 0 29883 0 29884 0 29885 0 29886 0 29887 0 29888 0 29889 0 29890 0 29891 0 29892 0 29893 1 29894 0 29895 0 29896 0 29897 0 29898 0 29899 0 29900 0 29901 0 29902 0 29903 0 29904 0 29905 0 29906 0 29907 0 29908 0 29909 0 29910 0 29911 0 29912 0 29913 0 29914 0 29915 0 29916 0 29917 0 29918 0 29919 0 29920 0 29921 0 29922 0 29923 0 29924 0 29925 0 29926 0 29927 0 29928 0 29929 0 29930 0 29931 0 29932 0 29933 0 29934 0 29935 0 29936 0 29937 0 29938 0 29939 0 29940 0 29941 0 29942 0 29943 0 29944 0 29945 0 29946 0 29947 0 29948 0 29949 0 29950 0 29951 0 29952 0 29953 0 29954 0 29955 0 29956 0 29957 0 29958 0 29959 0 29960 0 29961 0 29962 0 29963 0 29964 0 29965 0 29966 0 29967 0 29968 0 29969 0 29970 0 29971 0 29972 0 29973 0 29974 0 29975 0 29976 0 29977 0 29978 0 29979 0 29980 0 29981 0 29982 0 29983 0 29984 0 29985 0 29986 0 29987 0 29988 0 29989 0 29990 0 29991 0 29992 0 29993 0 29994 0 29995 0 29996 0 29997 1 29998 0 29999 0 30000 0 43: Average symbolic conclusion length is 853489451/251561 ≈ 3392.77. (Median: 1637) There are 408 minimal D-proofs with conclusions of even symbolic length, and there are 251153 minimal D-proofs with conclusions of odd symbolic length. [408/251561 ≈ 0.16% even] 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 10 0 11 0 12 0 13 0 14 0 15 0 16 0 17 0 18 0 19 4 20 0 21 0 22 0 23 0 24 0 25 0 26 0 27 0 28 1 29 2 30 0 31 2 32 2 33 1 34 0 35 0 36 1 37 0 38 0 39 5 40 0 41 5 42 0 43 3 44 1 45 8 46 6 47 14 48 0 49 13 50 0 51 9 52 0 53 3 54 0 55 2 56 1 57 7 58 0 59 8 60 1 61 5 62 4 63 4 64 0 65 14 66 4 67 4 68 0 69 5 70 1 71 11 72 1 73 13 74 0 75 9 76 1 77 14 78 0 79 12 80 0 81 22 82 2 83 28 84 0 85 23 86 0 87 31 88 1 89 14 90 0 91 21 92 0 93 32 94 3 95 26 96 0 97 33 98 1 99 16 100 4 101 19 102 3 103 27 104 0 105 43 106 1 107 39 108 0 109 39 110 0 111 37 112 0 113 37 114 1 115 22 116 2 117 51 118 0 119 20 120 0 121 43 122 0 123 40 124 0 125 56 126 0 127 44 128 1 129 59 130 3 131 51 132 1 133 69 134 0 135 53 136 0 137 82 138 3 139 52 140 1 141 85 142 0 143 55 144 0 145 78 146 1 147 62 148 0 149 77 150 0 151 70 152 1 153 90 154 0 155 55 156 0 157 92 158 0 159 66 160 2 161 94 162 1 163 58 164 0 165 96 166 0 167 72 168 1 169 105 170 0 171 76 172 0 173 118 174 0 175 75 176 1 177 126 178 1 179 57 180 0 181 125 182 0 183 77 184 0 185 124 186 1 187 74 188 0 189 102 190 0 191 93 192 2 193 163 194 0 195 81 196 0 197 149 198 1 199 77 200 1 201 132 202 0 203 94 204 0 205 122 206 0 207 85 208 1 209 115 210 0 211 86 212 1 213 120 214 0 215 82 216 0 217 167 218 1 219 80 220 4 221 157 222 1 223 90 224 0 225 150 226 0 227 96 228 0 229 150 230 1 231 97 232 1 233 184 234 1 235 88 236 2 237 183 238 0 239 103 240 1 241 162 242 0 243 88 244 1 245 151 246 1 247 87 248 4 249 175 250 1 251 94 252 2 253 173 254 1 255 91 256 1 257 190 258 0 259 107 260 0 261 214 262 1 263 99 264 1 265 196 266 7 267 124 268 0 269 182 270 3 271 116 272 0 273 193 274 0 275 105 276 1 277 234 278 0 279 131 280 3 281 218 282 0 283 90 284 1 285 234 286 2 287 108 288 0 289 197 290 1 291 128 292 0 293 242 294 2 295 117 296 0 297 237 298 1 299 114 300 1 301 190 302 0 303 103 304 1 305 227 306 1 307 95 308 0 309 230 310 1 311 104 312 0 313 225 314 0 315 113 316 2 317 249 318 0 319 111 320 2 321 247 322 0 323 95 324 1 325 220 326 0 327 149 328 0 329 228 330 0 331 104 332 1 333 247 334 0 335 105 336 2 337 233 338 0 339 109 340 0 341 192 342 1 343 117 344 1 345 236 346 1 347 106 348 1 349 217 350 1 351 113 352 3 353 242 354 2 355 120 356 0 357 234 358 1 359 112 360 1 361 254 362 0 363 112 364 1 365 271 366 0 367 102 368 0 369 249 370 1 371 111 372 0 373 237 374 0 375 117 376 0 377 268 378 0 379 134 380 1 381 257 382 1 383 128 384 2 385 265 386 0 387 109 388 0 389 259 390 0 391 120 392 0 393 245 394 0 395 129 396 1 397 249 398 1 399 112 400 0 401 274 402 0 403 114 404 0 405 256 406 0 407 111 408 2 409 275 410 3 411 123 412 0 413 271 414 3 415 89 416 2 417 248 418 0 419 148 420 1 421 286 422 0 423 106 424 2 425 307 426 1 427 106 428 1 429 261 430 0 431 126 432 1 433 253 434 2 435 106 436 2 437 300 438 1 439 114 440 1 441 268 442 0 443 138 444 0 445 249 446 1 447 123 448 0 449 273 450 0 451 149 452 2 453 250 454 1 455 94 456 1 457 287 458 0 459 152 460 1 461 276 462 1 463 110 464 0 465 276 466 1 467 120 468 1 469 267 470 1 471 131 472 1 473 269 474 1 475 126 476 0 477 284 478 2 479 100 480 0 481 255 482 1 483 120 484 1 485 279 486 1 487 128 488 0 489 282 490 1 491 121 492 0 493 289 494 2 495 130 496 1 497 273 498 0 499 106 500 0 501 252 502 0 503 117 504 0 505 279 506 0 507 128 508 0 509 249 510 1 511 122 512 1 513 259 514 0 515 133 516 0 517 262 518 1 519 129 520 0 521 295 522 0 523 108 524 1 525 285 526 0 527 122 528 0 529 282 530 0 531 143 532 0 533 281 534 0 535 123 536 0 537 302 538 0 539 112 540 1 541 283 542 0 543 124 544 1 545 316 546 2 547 114 548 0 549 287 550 2 551 119 552 0 553 287 554 0 555 122 556 1 557 341 558 1 559 124 560 1 561 295 562 0 563 114 564 0 565 337 566 0 567 119 568 0 569 303 570 0 571 126 572 2 573 297 574 0 575 117 576 1 577 279 578 0 579 116 580 1 581 280 582 1 583 106 584 1 585 303 586 0 587 124 588 0 589 307 590 0 591 120 592 1 593 296 594 0 595 157 596 0 597 284 598 0 599 98 600 1 601 292 602 2 603 118 604 0 605 304 606 0 607 117 608 0 609 290 610 0 611 113 612 0 613 291 614 1 615 123 616 0 617 269 618 1 619 131 620 1 621 280 622 0 623 122 624 1 625 318 626 2 627 97 628 0 629 325 630 0 631 122 632 0 633 302 634 0 635 110 636 0 637 325 638 0 639 118 640 1 641 285 642 0 643 111 644 0 645 327 646 0 647 116 648 0 649 322 650 0 651 141 652 0 653 301 654 1 655 132 656 0 657 312 658 0 659 100 660 1 661 310 662 0 663 127 664 1 665 307 666 0 667 97 668 1 669 280 670 2 671 136 672 1 673 284 674 1 675 101 676 0 677 300 678 3 679 132 680 2 681 284 682 0 683 117 684 1 685 281 686 1 687 88 688 1 689 320 690 0 691 116 692 0 693 297 694 1 695 113 696 1 697 297 698 0 699 123 700 1 701 281 702 0 703 131 704 0 705 295 706 1 707 112 708 0 709 280 710 1 711 102 712 0 713 303 714 0 715 112 716 1 717 320 718 1 719 105 720 0 721 285 722 0 723 127 724 0 725 307 726 1 727 92 728 2 729 321 730 1 731 103 732 0 733 280 734 0 735 126 736 0 737 252 738 0 739 106 740 0 741 313 742 2 743 110 744 0 745 288 746 3 747 113 748 1 749 331 750 1 751 113 752 1 753 275 754 0 755 101 756 2 757 299 758 0 759 97 760 0 761 282 762 0 763 111 764 0 765 309 766 0 767 91 768 0 769 311 770 2 771 97 772 1 773 299 774 0 775 85 776 1 777 314 778 0 779 101 780 1 781 265 782 0 783 86 784 1 785 288 786 0 787 137 788 1 789 303 790 0 791 113 792 0 793 300 794 2 795 103 796 0 797 298 798 1 799 102 800 1 801 300 802 1 803 109 804 0 805 306 806 1 807 88 808 0 809 277 810 0 811 110 812 3 813 301 814 1 815 96 816 0 817 266 818 0 819 118 820 2 821 311 822 1 823 120 824 0 825 284 826 0 827 126 828 1 829 274 830 0 831 92 832 1 833 274 834 0 835 120 836 1 837 291 838 0 839 121 840 1 841 252 842 0 843 108 844 1 845 254 846 0 847 122 848 1 849 284 850 0 851 98 852 1 853 271 854 1 855 105 856 0 857 285 858 0 859 96 860 1 861 309 862 0 863 98 864 2 865 316 866 1 867 123 868 0 869 332 870 1 871 93 872 0 873 276 874 0 875 94 876 0 877 308 878 0 879 112 880 0 881 280 882 0 883 98 884 0 885 291 886 0 887 99 888 0 889 271 890 0 891 101 892 0 893 285 894 1 895 123 896 0 897 268 898 0 899 104 900 0 901 278 902 1 903 84 904 1 905 291 906 0 907 98 908 0 909 276 910 0 911 85 912 0 913 243 914 0 915 117 916 0 917 257 918 0 919 99 920 1 921 265 922 1 923 88 924 1 925 259 926 0 927 88 928 0 929 279 930 0 931 98 932 1 933 311 934 1 935 90 936 0 937 283 938 0 939 85 940 0 941 257 942 0 943 91 944 0 945 270 946 0 947 93 948 1 949 261 950 1 951 97 952 0 953 309 954 2 955 103 956 2 957 299 958 1 959 91 960 0 961 276 962 0 963 103 964 0 965 249 966 0 967 98 968 0 969 292 970 1 971 76 972 0 973 267 974 0 975 88 976 1 977 305 978 0 979 92 980 0 981 270 982 0 983 97 984 1 985 291 986 0 987 101 988 2 989 299 990 0 991 87 992 1 993 261 994 0 995 84 996 0 997 233 998 0 999 84 1000 0 1001 251 1002 1 1003 73 1004 1 1005 284 1006 0 1007 91 1008 0 1009 275 1010 0 1011 99 1012 0 1013 308 1014 0 1015 82 1016 0 1017 244 1018 0 1019 87 1020 0 1021 265 1022 0 1023 74 1024 0 1025 239 1026 0 1027 73 1028 1 1029 275 1030 1 1031 73 1032 0 1033 231 1034 0 1035 89 1036 0 1037 248 1038 1 1039 75 1040 1 1041 247 1042 0 1043 98 1044 1 1045 257 1046 0 1047 69 1048 0 1049 278 1050 1 1051 95 1052 0 1053 242 1054 0 1055 54 1056 0 1057 248 1058 0 1059 71 1060 0 1061 231 1062 1 1063 72 1064 1 1065 252 1066 0 1067 87 1068 0 1069 250 1070 1 1071 92 1072 1 1073 242 1074 0 1075 73 1076 0 1077 264 1078 1 1079 82 1080 0 1081 254 1082 0 1083 94 1084 0 1085 290 1086 0 1087 76 1088 0 1089 273 1090 0 1091 81 1092 1 1093 237 1094 0 1095 63 1096 0 1097 239 1098 0 1099 81 1100 1 1101 261 1102 0 1103 83 1104 1 1105 295 1106 0 1107 90 1108 0 1109 240 1110 0 1111 66 1112 0 1113 240 1114 0 1115 85 1116 0 1117 253 1118 0 1119 75 1120 0 1121 257 1122 0 1123 72 1124 0 1125 257 1126 0 1127 82 1128 2 1129 245 1130 1 1131 74 1132 0 1133 246 1134 0 1135 67 1136 0 1137 251 1138 0 1139 77 1140 0 1141 219 1142 0 1143 82 1144 1 1145 278 1146 0 1147 83 1148 0 1149 247 1150 0 1151 78 1152 0 1153 241 1154 0 1155 76 1156 0 1157 249 1158 0 1159 73 1160 1 1161 257 1162 0 1163 60 1164 0 1165 233 1166 0 1167 70 1168 0 1169 230 1170 0 1171 80 1172 1 1173 267 1174 0 1175 73 1176 0 1177 247 1178 1 1179 75 1180 0 1181 234 1182 0 1183 66 1184 0 1185 250 1186 0 1187 56 1188 0 1189 230 1190 0 1191 75 1192 0 1193 268 1194 0 1195 79 1196 0 1197 245 1198 0 1199 60 1200 0 1201 209 1202 0 1203 72 1204 0 1205 226 1206 0 1207 88 1208 0 1209 242 1210 0 1211 79 1212 0 1213 294 1214 1 1215 70 1216 0 1217 254 1218 0 1219 63 1220 1 1221 267 1222 0 1223 70 1224 0 1225 237 1226 0 1227 51 1228 0 1229 250 1230 0 1231 77 1232 0 1233 236 1234 0 1235 80 1236 0 1237 210 1238 1 1239 72 1240 0 1241 235 1242 0 1243 53 1244 0 1245 230 1246 0 1247 48 1248 0 1249 226 1250 0 1251 79 1252 0 1253 223 1254 0 1255 80 1256 1 1257 224 1258 0 1259 63 1260 0 1261 232 1262 1 1263 69 1264 1 1265 241 1266 0 1267 61 1268 0 1269 216 1270 0 1271 57 1272 0 1273 208 1274 0 1275 62 1276 0 1277 222 1278 1 1279 75 1280 0 1281 225 1282 0 1283 57 1284 0 1285 261 1286 0 1287 69 1288 0 1289 213 1290 0 1291 79 1292 0 1293 225 1294 0 1295 66 1296 0 1297 202 1298 0 1299 90 1300 0 1301 229 1302 0 1303 72 1304 0 1305 200 1306 0 1307 65 1308 0 1309 208 1310 0 1311 61 1312 0 1313 239 1314 0 1315 66 1316 0 1317 216 1318 0 1319 66 1320 1 1321 197 1322 0 1323 56 1324 0 1325 223 1326 1 1327 59 1328 0 1329 235 1330 0 1331 67 1332 0 1333 187 1334 0 1335 61 1336 0 1337 228 1338 0 1339 58 1340 0 1341 209 1342 0 1343 54 1344 1 1345 221 1346 1 1347 61 1348 0 1349 225 1350 1 1351 59 1352 0 1353 227 1354 0 1355 70 1356 0 1357 227 1358 0 1359 58 1360 0 1361 221 1362 0 1363 69 1364 0 1365 210 1366 0 1367 61 1368 0 1369 207 1370 0 1371 70 1372 0 1373 209 1374 0 1375 67 1376 0 1377 198 1378 0 1379 52 1380 1 1381 189 1382 2 1383 55 1384 0 1385 217 1386 0 1387 56 1388 0 1389 214 1390 0 1391 67 1392 0 1393 217 1394 0 1395 64 1396 0 1397 193 1398 0 1399 74 1400 0 1401 211 1402 0 1403 62 1404 0 1405 228 1406 0 1407 53 1408 0 1409 205 1410 0 1411 72 1412 0 1413 219 1414 1 1415 71 1416 0 1417 210 1418 0 1419 55 1420 0 1421 223 1422 1 1423 58 1424 0 1425 215 1426 0 1427 61 1428 1 1429 245 1430 0 1431 58 1432 0 1433 229 1434 0 1435 63 1436 0 1437 196 1438 0 1439 69 1440 0 1441 206 1442 1 1443 58 1444 0 1445 224 1446 1 1447 60 1448 0 1449 230 1450 0 1451 68 1452 0 1453 192 1454 0 1455 50 1456 0 1457 220 1458 0 1459 44 1460 0 1461 203 1462 0 1463 45 1464 0 1465 227 1466 0 1467 48 1468 0 1469 189 1470 0 1471 50 1472 1 1473 195 1474 0 1475 67 1476 0 1477 206 1478 0 1479 64 1480 0 1481 215 1482 1 1483 56 1484 0 1485 175 1486 0 1487 69 1488 0 1489 195 1490 0 1491 45 1492 0 1493 211 1494 0 1495 51 1496 0 1497 207 1498 0 1499 40 1500 1 1501 189 1502 0 1503 61 1504 0 1505 203 1506 0 1507 53 1508 0 1509 210 1510 0 1511 48 1512 0 1513 214 1514 0 1515 58 1516 0 1517 181 1518 0 1519 45 1520 0 1521 187 1522 0 1523 55 1524 0 1525 179 1526 0 1527 47 1528 0 1529 197 1530 0 1531 56 1532 0 1533 196 1534 0 1535 43 1536 0 1537 193 1538 0 1539 61 1540 0 1541 199 1542 0 1543 59 1544 0 1545 219 1546 0 1547 60 1548 1 1549 180 1550 0 1551 59 1552 0 1553 215 1554 0 1555 70 1556 0 1557 178 1558 0 1559 44 1560 0 1561 191 1562 0 1563 62 1564 0 1565 187 1566 0 1567 55 1568 1 1569 188 1570 0 1571 57 1572 0 1573 188 1574 0 1575 42 1576 0 1577 196 1578 0 1579 60 1580 0 1581 176 1582 0 1583 54 1584 0 1585 192 1586 0 1587 44 1588 0 1589 168 1590 0 1591 63 1592 0 1593 195 1594 0 1595 37 1596 0 1597 197 1598 0 1599 49 1600 0 1601 192 1602 0 1603 56 1604 0 1605 172 1606 0 1607 60 1608 0 1609 187 1610 0 1611 49 1612 1 1613 206 1614 0 1615 64 1616 0 1617 180 1618 0 1619 46 1620 0 1621 171 1622 0 1623 42 1624 0 1625 207 1626 0 1627 64 1628 0 1629 183 1630 0 1631 46 1632 0 1633 190 1634 0 1635 54 1636 0 1637 192 1638 1 1639 51 1640 0 1641 190 1642 0 1643 49 1644 0 1645 179 1646 0 1647 51 1648 0 1649 172 1650 0 1651 47 1652 0 1653 163 1654 0 1655 50 1656 0 1657 169 1658 0 1659 53 1660 0 1661 171 1662 0 1663 40 1664 0 1665 172 1666 0 1667 41 1668 1 1669 164 1670 0 1671 44 1672 1 1673 199 1674 1 1675 56 1676 0 1677 146 1678 0 1679 44 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28119 0 28120 0 28121 1 28122 0 28123 0 28124 0 28125 0 28126 0 28127 0 28128 0 28129 0 28130 0 28131 0 28132 0 28133 1 28134 0 28135 0 28136 0 28137 0 28138 0 28139 0 28140 0 28141 0 28142 0 28143 0 28144 0 28145 0 28146 0 28147 0 28148 0 28149 0 28150 0 28151 0 28152 0 28153 0 28154 0 28155 0 28156 0 28157 0 28158 0 28159 0 28160 0 28161 0 28162 0 28163 0 28164 0 28165 0 28166 0 28167 0 28168 0 28169 0 28170 0 28171 0 28172 0 28173 1 28174 0 28175 0 28176 0 28177 1 28178 0 28179 0 28180 0 28181 0 28182 0 28183 0 28184 0 28185 2 28186 0 28187 0 28188 0 28189 0 28190 0 28191 0 28192 0 28193 1 28194 0 28195 0 28196 0 28197 0 28198 0 28199 0 28200 0 28201 5 28202 0 28203 0 28204 0 28205 1 28206 0 28207 0 28208 0 28209 1 28210 0 28211 0 28212 0 28213 0 28214 0 28215 0 28216 0 28217 1 28218 0 28219 0 28220 0 28221 0 28222 0 28223 0 28224 0 28225 0 28226 0 28227 0 28228 0 28229 1 28230 0 28231 0 28232 0 28233 0 28234 0 28235 0 28236 0 28237 0 28238 0 28239 0 28240 0 28241 2 28242 0 28243 0 28244 0 28245 0 28246 0 28247 0 28248 0 28249 0 28250 0 28251 0 28252 0 28253 1 28254 0 28255 0 28256 0 28257 0 28258 0 28259 0 28260 0 28261 0 28262 0 28263 0 28264 0 28265 1 28266 0 28267 0 28268 0 28269 0 28270 0 28271 0 28272 0 28273 0 28274 0 28275 0 28276 0 28277 0 28278 0 28279 0 28280 0 28281 0 28282 0 28283 0 28284 0 28285 0 28286 0 28287 0 28288 0 28289 1 28290 0 28291 0 28292 0 28293 0 28294 0 28295 0 28296 0 28297 0 28298 0 28299 0 28300 0 28301 1 28302 0 28303 0 28304 0 28305 1 28306 0 28307 0 28308 0 28309 0 28310 0 28311 0 28312 0 28313 0 28314 0 28315 0 28316 0 28317 0 28318 0 28319 0 28320 0 28321 1 28322 0 28323 0 28324 0 28325 1 28326 0 28327 0 28328 0 28329 0 28330 0 28331 0 28332 0 28333 0 28334 0 28335 0 28336 0 28337 2 28338 0 28339 1 28340 0 28341 1 28342 0 28343 0 28344 0 28345 1 28346 0 28347 0 28348 0 28349 0 28350 0 28351 0 28352 0 28353 0 28354 0 28355 0 28356 0 28357 1 28358 0 28359 0 28360 0 28361 0 28362 0 28363 0 28364 0 28365 2 28366 0 28367 0 28368 0 28369 2 28370 0 28371 0 28372 0 28373 0 28374 0 28375 0 28376 0 28377 1 28378 0 28379 0 28380 0 28381 0 28382 0 28383 0 28384 0 28385 1 28386 0 28387 0 28388 0 28389 0 28390 0 28391 0 28392 0 28393 1 28394 0 28395 0 28396 0 28397 0 28398 0 28399 0 28400 0 28401 2 28402 0 28403 0 28404 0 28405 0 28406 0 28407 0 28408 0 28409 0 28410 0 28411 0 28412 0 28413 0 28414 0 28415 0 28416 0 28417 2 28418 0 28419 0 28420 0 28421 0 28422 0 28423 0 28424 0 28425 1 28426 0 28427 0 28428 0 28429 1 28430 0 28431 0 28432 0 28433 0 28434 0 28435 0 28436 0 28437 2 28438 0 28439 0 28440 0 28441 2 28442 0 28443 0 28444 0 28445 0 28446 0 28447 1 28448 0 28449 0 28450 0 28451 0 28452 0 28453 0 28454 0 28455 0 28456 0 28457 0 28458 0 28459 0 28460 0 28461 0 28462 0 28463 0 28464 0 28465 0 28466 0 28467 0 28468 0 28469 0 28470 0 28471 0 28472 0 28473 0 28474 0 28475 0 28476 0 28477 0 28478 0 28479 0 28480 0 28481 0 28482 0 28483 0 28484 0 28485 0 28486 0 28487 0 28488 0 28489 0 28490 0 28491 0 28492 0 28493 2 28494 0 28495 0 28496 0 28497 0 28498 0 28499 0 28500 0 28501 0 28502 0 28503 0 28504 0 28505 0 28506 0 28507 0 28508 0 28509 1 28510 0 28511 0 28512 0 28513 1 28514 0 28515 0 28516 0 28517 0 28518 0 28519 0 28520 0 28521 0 28522 0 28523 0 28524 0 28525 1 28526 0 28527 0 28528 0 28529 0 28530 0 28531 0 28532 0 28533 0 28534 0 28535 0 28536 0 28537 0 28538 0 28539 0 28540 0 28541 0 28542 0 28543 0 28544 0 28545 0 28546 0 28547 0 28548 0 28549 0 28550 0 28551 0 28552 0 28553 0 28554 0 28555 0 28556 0 28557 0 28558 0 28559 0 28560 0 28561 0 28562 0 28563 0 28564 0 28565 0 28566 0 28567 0 28568 0 28569 0 28570 0 28571 0 28572 0 28573 3 28574 0 28575 0 28576 0 28577 0 28578 0 28579 0 28580 0 28581 0 28582 0 28583 0 28584 0 28585 0 28586 0 28587 0 28588 0 28589 0 28590 0 28591 0 28592 0 28593 1 28594 0 28595 0 28596 0 28597 1 28598 0 28599 0 28600 0 28601 1 28602 0 28603 0 28604 0 28605 1 28606 0 28607 0 28608 0 28609 0 28610 0 28611 0 28612 0 28613 0 28614 0 28615 0 28616 0 28617 0 28618 0 28619 0 28620 0 28621 1 28622 0 28623 0 28624 0 28625 1 28626 0 28627 0 28628 0 28629 0 28630 0 28631 0 28632 0 28633 0 28634 0 28635 0 28636 0 28637 1 28638 0 28639 0 28640 0 28641 1 28642 0 28643 0 28644 0 28645 0 28646 0 28647 0 28648 0 28649 1 28650 0 28651 0 28652 0 28653 0 28654 0 28655 0 28656 0 28657 1 28658 0 28659 0 28660 0 28661 0 28662 0 28663 0 28664 0 28665 1 28666 0 28667 0 28668 0 28669 0 28670 0 28671 1 28672 0 28673 0 28674 0 28675 0 28676 0 28677 2 28678 0 28679 0 28680 0 28681 1 28682 0 28683 0 28684 0 28685 0 28686 0 28687 0 28688 0 28689 1 28690 0 28691 0 28692 0 28693 0 28694 0 28695 1 28696 0 28697 0 28698 0 28699 0 28700 0 28701 0 28702 0 28703 0 28704 0 28705 0 28706 0 28707 0 28708 0 28709 0 28710 0 28711 1 28712 0 28713 0 28714 0 28715 0 28716 0 28717 0 28718 0 28719 0 28720 0 28721 0 28722 0 28723 0 28724 0 28725 0 28726 0 28727 0 28728 0 28729 1 28730 0 28731 0 28732 0 28733 1 28734 0 28735 0 28736 0 28737 0 28738 0 28739 0 28740 0 28741 0 28742 0 28743 0 28744 0 28745 0 28746 0 28747 0 28748 0 28749 0 28750 0 28751 0 28752 0 28753 0 28754 0 28755 0 28756 0 28757 0 28758 0 28759 0 28760 0 28761 0 28762 0 28763 0 28764 0 28765 0 28766 0 28767 0 28768 0 28769 1 28770 0 28771 0 28772 0 28773 3 28774 0 28775 0 28776 0 28777 0 28778 0 28779 0 28780 0 28781 0 28782 0 28783 0 28784 0 28785 0 28786 0 28787 0 28788 0 28789 0 28790 0 28791 0 28792 0 28793 0 28794 0 28795 0 28796 0 28797 1 28798 0 28799 0 28800 0 28801 0 28802 0 28803 0 28804 0 28805 0 28806 0 28807 0 28808 0 28809 0 28810 0 28811 1 28812 0 28813 0 28814 0 28815 1 28816 0 28817 1 28818 0 28819 0 28820 0 28821 0 28822 0 28823 0 28824 0 28825 1 28826 0 28827 0 28828 0 28829 0 28830 0 28831 0 28832 0 28833 2 28834 0 28835 0 28836 0 28837 0 28838 0 28839 0 28840 0 28841 2 28842 0 28843 0 28844 0 28845 0 28846 0 28847 1 28848 0 28849 0 28850 0 28851 0 28852 0 28853 1 28854 0 28855 0 28856 0 28857 0 28858 0 28859 0 28860 0 28861 0 28862 0 28863 0 28864 0 28865 0 28866 0 28867 0 28868 0 28869 1 28870 0 28871 0 28872 0 28873 2 28874 0 28875 0 28876 0 28877 0 28878 0 28879 0 28880 0 28881 0 28882 0 28883 0 28884 0 28885 2 28886 0 28887 0 28888 0 28889 2 28890 0 28891 0 28892 0 28893 1 28894 0 28895 0 28896 0 28897 0 28898 0 28899 0 28900 0 28901 2 28902 0 28903 0 28904 0 28905 0 28906 0 28907 0 28908 0 28909 0 28910 0 28911 0 28912 0 28913 1 28914 0 28915 0 28916 0 28917 1 28918 0 28919 0 28920 0 28921 0 28922 0 28923 0 28924 0 28925 0 28926 0 28927 1 28928 0 28929 2 28930 0 28931 0 28932 0 28933 0 28934 0 28935 0 28936 0 28937 0 28938 0 28939 0 28940 0 28941 0 28942 0 28943 0 28944 0 28945 1 28946 0 28947 0 28948 0 28949 0 28950 0 28951 0 28952 0 28953 0 28954 0 28955 0 28956 0 28957 0 28958 0 28959 0 28960 0 28961 1 28962 0 28963 0 28964 0 28965 0 28966 0 28967 0 28968 0 28969 0 28970 0 28971 0 28972 0 28973 0 28974 0 28975 0 28976 0 28977 1 28978 0 28979 0 28980 0 28981 1 28982 0 28983 0 28984 0 28985 0 28986 0 28987 0 28988 0 28989 1 28990 0 28991 1 28992 0 28993 0 28994 0 28995 0 28996 0 28997 0 28998 0 28999 0 29000 0 29001 0 29002 0 29003 0 29004 0 29005 0 29006 0 29007 1 29008 0 29009 0 29010 0 29011 0 29012 0 29013 1 29014 0 29015 0 29016 0 29017 1 29018 0 29019 1 29020 0 29021 1 29022 0 29023 0 29024 0 29025 0 29026 0 29027 0 29028 0 29029 1 29030 0 29031 1 29032 0 29033 1 29034 0 29035 0 29036 0 29037 0 29038 0 29039 0 29040 0 29041 1 29042 0 29043 0 29044 0 29045 1 29046 0 29047 0 29048 0 29049 0 29050 0 29051 0 29052 0 29053 1 29054 0 29055 0 29056 0 29057 2 29058 0 29059 0 29060 0 29061 0 29062 0 29063 0 29064 0 29065 2 29066 0 29067 0 29068 0 29069 0 29070 0 29071 0 29072 0 29073 0 29074 0 29075 0 29076 0 29077 1 29078 0 29079 1 29080 0 29081 1 29082 0 29083 0 29084 0 29085 0 29086 0 29087 0 29088 0 29089 0 29090 0 29091 0 29092 0 29093 0 29094 0 29095 1 29096 0 29097 1 29098 0 29099 0 29100 0 29101 2 29102 0 29103 0 29104 0 29105 0 29106 0 29107 0 29108 0 29109 1 29110 0 29111 0 29112 0 29113 0 29114 0 29115 0 29116 0 29117 0 29118 0 29119 0 29120 0 29121 0 29122 0 29123 0 29124 0 29125 2 29126 0 29127 0 29128 0 29129 0 29130 0 29131 0 29132 0 29133 0 29134 0 29135 0 29136 0 29137 0 29138 0 29139 0 29140 0 29141 0 29142 0 29143 0 29144 0 29145 0 29146 0 29147 0 29148 0 29149 2 29150 0 29151 0 29152 0 29153 0 29154 0 29155 0 29156 0 29157 0 29158 0 29159 0 29160 0 29161 0 29162 0 29163 0 29164 0 29165 1 29166 0 29167 1 29168 0 29169 1 29170 0 29171 0 29172 0 29173 0 29174 0 29175 0 29176 0 29177 0 29178 0 29179 0 29180 0 29181 2 29182 0 29183 0 29184 0 29185 1 29186 0 29187 0 29188 0 29189 0 29190 0 29191 0 29192 0 29193 1 29194 0 29195 0 29196 0 29197 1 29198 0 29199 0 29200 0 29201 0 29202 0 29203 0 29204 0 29205 0 29206 0 29207 0 29208 0 29209 1 29210 0 29211 0 29212 0 29213 2 29214 0 29215 0 29216 0 29217 0 29218 0 29219 0 29220 0 29221 0 29222 0 29223 0 29224 0 29225 1 29226 0 29227 0 29228 0 29229 0 29230 0 29231 0 29232 0 29233 0 29234 0 29235 0 29236 0 29237 0 29238 0 29239 0 29240 0 29241 0 29242 0 29243 0 29244 0 29245 0 29246 0 29247 0 29248 0 29249 0 29250 0 29251 0 29252 0 29253 0 29254 0 29255 0 29256 0 29257 1 29258 0 29259 0 29260 0 29261 0 29262 0 29263 0 29264 0 29265 1 29266 0 29267 0 29268 0 29269 0 29270 0 29271 0 29272 0 29273 1 29274 0 29275 0 29276 0 29277 1 29278 0 29279 0 29280 0 29281 0 29282 0 29283 0 29284 0 29285 1 29286 0 29287 0 29288 0 29289 0 29290 0 29291 0 29292 0 29293 0 29294 0 29295 0 29296 0 29297 1 29298 0 29299 0 29300 0 29301 0 29302 0 29303 0 29304 0 29305 0 29306 0 29307 0 29308 0 29309 1 29310 0 29311 0 29312 0 29313 0 29314 0 29315 0 29316 0 29317 0 29318 0 29319 0 29320 0 29321 0 29322 0 29323 0 29324 0 29325 0 29326 0 29327 0 29328 0 29329 2 29330 0 29331 0 29332 0 29333 0 29334 0 29335 0 29336 0 29337 1 29338 0 29339 0 29340 0 29341 0 29342 0 29343 0 29344 0 29345 1 29346 0 29347 0 29348 0 29349 0 29350 0 29351 0 29352 0 29353 1 29354 0 29355 0 29356 0 29357 0 29358 0 29359 0 29360 0 29361 1 29362 0 29363 0 29364 0 29365 0 29366 0 29367 0 29368 0 29369 0 29370 0 29371 0 29372 0 29373 0 29374 0 29375 0 29376 0 29377 2 29378 0 29379 0 29380 0 29381 0 29382 0 29383 0 29384 0 29385 1 29386 0 29387 0 29388 0 29389 1 29390 0 29391 0 29392 0 29393 0 29394 0 29395 0 29396 0 29397 0 29398 0 29399 0 29400 0 29401 0 29402 0 29403 0 29404 0 29405 0 29406 0 29407 0 29408 0 29409 1 29410 0 29411 0 29412 0 29413 0 29414 0 29415 0 29416 0 29417 0 29418 0 29419 0 29420 0 29421 0 29422 0 29423 0 29424 0 29425 1 29426 0 29427 0 29428 0 29429 1 29430 0 29431 0 29432 0 29433 0 29434 0 29435 0 29436 0 29437 0 29438 0 29439 0 29440 0 29441 0 29442 0 29443 0 29444 0 29445 0 29446 0 29447 0 29448 0 29449 0 29450 0 29451 0 29452 0 29453 0 29454 0 29455 0 29456 0 29457 0 29458 0 29459 0 29460 0 29461 0 29462 0 29463 0 29464 0 29465 2 29466 0 29467 0 29468 0 29469 1 29470 0 29471 0 29472 0 29473 0 29474 0 29475 0 29476 0 29477 1 29478 0 29479 1 29480 0 29481 0 29482 0 29483 0 29484 0 29485 2 29486 0 29487 0 29488 0 29489 0 29490 0 29491 0 29492 0 29493 2 29494 0 29495 0 29496 0 29497 0 29498 0 29499 0 29500 0 29501 0 29502 0 29503 0 29504 0 29505 0 29506 0 29507 0 29508 0 29509 1 29510 0 29511 0 29512 0 29513 0 29514 0 29515 0 29516 0 29517 1 29518 0 29519 0 29520 0 29521 1 29522 0 29523 0 29524 0 29525 1 29526 0 29527 1 29528 0 29529 1 29530 0 29531 0 29532 0 29533 0 29534 0 29535 0 29536 0 29537 2 29538 0 29539 0 29540 0 29541 0 29542 0 29543 0 29544 0 29545 1 29546 0 29547 0 29548 0 29549 0 29550 0 29551 1 29552 0 29553 0 29554 0 29555 0 29556 0 29557 0 29558 0 29559 0 29560 0 29561 1 29562 0 29563 0 29564 0 29565 0 29566 0 29567 0 29568 0 29569 1 29570 0 29571 0 29572 0 29573 0 29574 0 29575 0 29576 0 29577 1 29578 0 29579 0 29580 0 29581 1 29582 0 29583 0 29584 0 29585 0 29586 0 29587 0 29588 0 29589 0 29590 0 29591 0 29592 0 29593 1 29594 0 29595 0 29596 0 29597 0 29598 0 29599 0 29600 0 29601 2 29602 0 29603 0 29604 0 29605 1 29606 0 29607 1 29608 0 29609 0 29610 0 29611 0 29612 0 29613 1 29614 0 29615 0 29616 0 29617 0 29618 0 29619 0 29620 0 29621 1 29622 0 29623 0 29624 0 29625 0 29626 0 29627 0 29628 0 29629 1 29630 0 29631 0 29632 0 29633 1 29634 0 29635 0 29636 0 29637 0 29638 0 29639 0 29640 0 29641 0 29642 0 29643 0 29644 0 29645 1 29646 0 29647 0 29648 0 29649 0 29650 0 29651 0 29652 0 29653 0 29654 0 29655 0 29656 0 29657 1 29658 0 29659 0 29660 0 29661 0 29662 0 29663 0 29664 0 29665 0 29666 0 29667 0 29668 0 29669 0 29670 0 29671 0 29672 0 29673 0 29674 0 29675 0 29676 0 29677 1 29678 0 29679 0 29680 0 29681 0 29682 0 29683 0 29684 0 29685 0 29686 0 29687 0 29688 0 29689 0 29690 0 29691 0 29692 0 29693 0 29694 0 29695 0 29696 0 29697 2 29698 0 29699 0 29700 0 29701 0 29702 0 29703 0 29704 0 29705 0 29706 0 29707 0 29708 0 29709 0 29710 0 29711 0 29712 0 29713 1 29714 0 29715 0 29716 0 29717 1 29718 0 29719 0 29720 0 29721 0 29722 0 29723 0 29724 0 29725 1 29726 0 29727 0 29728 0 29729 1 29730 0 29731 0 29732 0 29733 1 29734 0 29735 0 29736 0 29737 1 29738 0 29739 0 29740 0 29741 0 29742 0 29743 0 29744 0 29745 1 29746 0 29747 0 29748 0 29749 2 29750 0 29751 0 29752 0 29753 0 29754 0 29755 0 29756 0 29757 0 29758 0 29759 0 29760 0 29761 0 29762 0 29763 0 29764 0 29765 0 29766 0 29767 0 29768 0 29769 1 29770 0 29771 0 29772 0 29773 0 29774 0 29775 0 29776 0 29777 0 29778 0 29779 0 29780 0 29781 1 29782 0 29783 0 29784 0 29785 0 29786 0 29787 0 29788 0 29789 1 29790 0 29791 0 29792 0 29793 0 29794 0 29795 0 29796 0 29797 0 29798 0 29799 0 29800 0 29801 1 29802 0 29803 0 29804 0 29805 0 29806 0 29807 0 29808 0 29809 0 29810 0 29811 0 29812 0 29813 0 29814 0 29815 0 29816 0 29817 2 29818 0 29819 0 29820 0 29821 2 29822 0 29823 0 29824 0 29825 2 29826 0 29827 0 29828 0 29829 0 29830 0 29831 0 29832 0 29833 2 29834 0 29835 0 29836 0 29837 0 29838 0 29839 0 29840 0 29841 0 29842 0 29843 0 29844 0 29845 0 29846 0 29847 0 29848 0 29849 1 29850 0 29851 0 29852 0 29853 0 29854 0 29855 0 29856 0 29857 2 29858 0 29859 0 29860 0 29861 0 29862 0 29863 0 29864 0 29865 0 29866 0 29867 0 29868 0 29869 0 29870 0 29871 1 29872 0 29873 2 29874 0 29875 0 29876 0 29877 2 29878 0 29879 0 29880 0 29881 1 29882 0 29883 0 29884 0 29885 1 29886 0 29887 0 29888 0 29889 0 29890 0 29891 0 29892 0 29893 0 29894 0 29895 0 29896 0 29897 0 29898 0 29899 0 29900 0 29901 1 29902 0 29903 0 29904 0 29905 1 29906 0 29907 0 29908 0 29909 1 29910 0 29911 0 29912 0 29913 2 29914 0 29915 0 29916 0 29917 0 29918 0 29919 0 29920 0 29921 0 29922 0 29923 0 29924 0 29925 0 29926 0 29927 0 29928 0 29929 0 29930 0 29931 0 29932 0 29933 1 29934 0 29935 0 29936 0 29937 0 29938 0 29939 0 29940 0 29941 0 29942 0 29943 0 29944 0 29945 0 29946 0 29947 0 29948 0 29949 0 29950 0 29951 0 29952 0 29953 2 29954 0 29955 0 29956 0 29957 0 29958 0 29959 0 29960 0 29961 1 29962 0 29963 0 29964 0 29965 0 29966 0 29967 1 29968 0 29969 0 29970 0 29971 0 29972 0 29973 0 29974 0 29975 0 29976 0 29977 0 29978 0 29979 0 29980 0 29981 1 29982 0 29983 0 29984 0 29985 0 29986 0 29987 0 29988 0 29989 0 29990 0 29991 0 29992 0 29993 2 29994 0 29995 0 29996 0 29997 0 29998 0 29999 0 30000 0 45: Average symbolic conclusion length is 2018377760/503956 ≈ 4005.07. (Median: 1873) There are 876 minimal D-proofs with conclusions of even symbolic length, and there are 503080 minimal D-proofs with conclusions of odd symbolic length. [876/503956 ≈ 0.17% even] 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 10 0 11 1 12 0 13 0 14 0 15 1 16 0 17 0 18 0 19 1 20 0 21 0 22 0 23 0 24 0 25 0 26 0 27 0 28 0 29 2 30 0 31 1 32 0 33 4 34 0 35 6 36 0 37 10 38 0 39 4 40 0 41 3 42 0 43 2 44 1 45 6 46 0 47 5 48 1 49 6 50 1 51 3 52 0 53 1 54 1 55 8 56 0 57 14 58 0 59 20 60 3 61 12 62 1 63 36 64 0 65 21 66 5 67 21 68 0 69 16 70 1 71 16 72 0 73 26 74 0 75 19 76 2 77 11 78 1 79 23 80 2 81 42 82 2 83 16 84 0 85 35 86 1 87 19 88 1 89 49 90 6 91 38 92 3 93 45 94 1 95 17 96 2 97 47 98 0 99 44 100 2 101 51 102 1 103 36 104 1 105 50 106 1 107 52 108 2 109 37 110 5 111 61 112 0 113 60 114 1 115 56 116 1 117 63 118 1 119 54 120 2 121 57 122 1 123 61 124 1 125 82 126 2 127 57 128 1 129 86 130 0 131 53 132 0 133 76 134 0 135 77 136 1 137 82 138 1 139 65 140 0 141 91 142 0 143 57 144 3 145 109 146 1 147 91 148 0 149 96 150 2 151 66 152 2 153 107 154 6 155 96 156 1 157 140 158 0 159 86 160 4 161 117 162 1 163 75 164 1 165 124 166 1 167 99 168 0 169 156 170 0 171 90 172 1 173 136 174 0 175 78 176 0 177 145 178 5 179 99 180 0 181 176 182 1 183 95 184 1 185 149 186 1 187 109 188 2 189 186 190 7 191 129 192 1 193 167 194 2 195 118 196 0 197 163 198 1 199 98 200 1 201 172 202 2 203 102 204 2 205 200 206 4 207 117 208 3 209 192 210 1 211 158 212 1 213 222 214 1 215 122 216 1 217 254 218 3 219 149 220 0 221 255 222 3 223 156 224 5 225 281 226 1 227 143 228 2 229 214 230 1 231 172 232 0 233 250 234 2 235 146 236 1 237 263 238 5 239 143 240 0 241 221 242 2 243 167 244 2 245 279 246 0 247 152 248 0 249 276 250 1 251 171 252 1 253 291 254 1 255 159 256 1 257 309 258 2 259 152 260 2 261 289 262 2 263 174 264 0 265 310 266 1 267 149 268 2 269 310 270 1 271 183 272 2 273 291 274 0 275 147 276 4 277 360 278 4 279 181 280 2 281 336 282 1 283 169 284 0 285 326 286 4 287 163 288 1 289 334 290 2 291 175 292 1 293 313 294 2 295 181 296 2 297 332 298 2 299 165 300 1 301 342 302 0 303 193 304 0 305 378 306 0 307 178 308 1 309 349 310 0 311 187 312 0 313 370 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0 29200 0 29201 2 29202 0 29203 0 29204 0 29205 0 29206 0 29207 0 29208 0 29209 1 29210 0 29211 0 29212 0 29213 1 29214 0 29215 0 29216 0 29217 1 29218 0 29219 0 29220 0 29221 1 29222 0 29223 0 29224 0 29225 1 29226 0 29227 0 29228 0 29229 2 29230 0 29231 0 29232 0 29233 0 29234 0 29235 0 29236 0 29237 0 29238 0 29239 0 29240 0 29241 1 29242 0 29243 0 29244 0 29245 1 29246 0 29247 0 29248 0 29249 3 29250 0 29251 0 29252 0 29253 2 29254 0 29255 0 29256 0 29257 1 29258 0 29259 0 29260 0 29261 0 29262 0 29263 0 29264 0 29265 1 29266 0 29267 0 29268 0 29269 0 29270 0 29271 0 29272 0 29273 3 29274 0 29275 0 29276 0 29277 1 29278 0 29279 0 29280 0 29281 1 29282 0 29283 0 29284 0 29285 3 29286 0 29287 0 29288 0 29289 3 29290 0 29291 0 29292 0 29293 0 29294 0 29295 1 29296 0 29297 2 29298 0 29299 1 29300 0 29301 0 29302 0 29303 0 29304 0 29305 3 29306 0 29307 0 29308 0 29309 0 29310 0 29311 0 29312 0 29313 4 29314 0 29315 0 29316 0 29317 2 29318 0 29319 0 29320 0 29321 2 29322 0 29323 0 29324 0 29325 2 29326 0 29327 0 29328 0 29329 6 29330 0 29331 0 29332 0 29333 0 29334 0 29335 0 29336 0 29337 3 29338 0 29339 0 29340 0 29341 0 29342 0 29343 0 29344 0 29345 1 29346 0 29347 0 29348 0 29349 0 29350 0 29351 0 29352 0 29353 0 29354 0 29355 0 29356 0 29357 1 29358 0 29359 0 29360 0 29361 1 29362 0 29363 0 29364 0 29365 1 29366 0 29367 0 29368 0 29369 0 29370 0 29371 0 29372 0 29373 2 29374 0 29375 1 29376 0 29377 1 29378 0 29379 0 29380 0 29381 2 29382 0 29383 0 29384 0 29385 1 29386 0 29387 0 29388 0 29389 1 29390 0 29391 2 29392 0 29393 2 29394 0 29395 0 29396 0 29397 0 29398 0 29399 0 29400 0 29401 3 29402 0 29403 1 29404 0 29405 1 29406 0 29407 0 29408 0 29409 3 29410 0 29411 1 29412 0 29413 3 29414 0 29415 0 29416 0 29417 1 29418 0 29419 0 29420 0 29421 1 29422 0 29423 0 29424 0 29425 1 29426 0 29427 0 29428 0 29429 0 29430 0 29431 0 29432 0 29433 0 29434 0 29435 0 29436 0 29437 0 29438 0 29439 0 29440 0 29441 4 29442 0 29443 0 29444 0 29445 1 29446 0 29447 0 29448 0 29449 2 29450 0 29451 1 29452 0 29453 1 29454 0 29455 0 29456 0 29457 0 29458 0 29459 0 29460 0 29461 1 29462 0 29463 0 29464 0 29465 3 29466 0 29467 0 29468 0 29469 1 29470 0 29471 0 29472 0 29473 2 29474 0 29475 0 29476 0 29477 1 29478 0 29479 0 29480 0 29481 2 29482 0 29483 0 29484 0 29485 1 29486 0 29487 0 29488 0 29489 2 29490 0 29491 0 29492 0 29493 0 29494 0 29495 0 29496 0 29497 2 29498 0 29499 0 29500 0 29501 1 29502 0 29503 0 29504 0 29505 4 29506 0 29507 0 29508 0 29509 0 29510 0 29511 1 29512 0 29513 0 29514 0 29515 0 29516 0 29517 0 29518 0 29519 0 29520 0 29521 2 29522 0 29523 1 29524 0 29525 1 29526 0 29527 0 29528 0 29529 4 29530 0 29531 0 29532 0 29533 2 29534 0 29535 1 29536 0 29537 0 29538 0 29539 0 29540 0 29541 0 29542 0 29543 0 29544 0 29545 4 29546 0 29547 0 29548 0 29549 1 29550 0 29551 0 29552 0 29553 3 29554 0 29555 0 29556 0 29557 0 29558 0 29559 0 29560 0 29561 2 29562 0 29563 0 29564 0 29565 0 29566 0 29567 0 29568 0 29569 2 29570 0 29571 0 29572 0 29573 2 29574 0 29575 0 29576 0 29577 4 29578 0 29579 0 29580 0 29581 1 29582 0 29583 0 29584 0 29585 0 29586 0 29587 0 29588 0 29589 0 29590 0 29591 0 29592 0 29593 3 29594 0 29595 0 29596 0 29597 0 29598 0 29599 0 29600 0 29601 1 29602 0 29603 0 29604 0 29605 0 29606 0 29607 0 29608 0 29609 1 29610 0 29611 0 29612 0 29613 1 29614 0 29615 0 29616 0 29617 1 29618 0 29619 0 29620 0 29621 1 29622 0 29623 0 29624 0 29625 2 29626 0 29627 0 29628 0 29629 3 29630 0 29631 0 29632 0 29633 2 29634 0 29635 0 29636 0 29637 0 29638 0 29639 0 29640 0 29641 1 29642 0 29643 0 29644 0 29645 0 29646 0 29647 0 29648 0 29649 0 29650 0 29651 0 29652 0 29653 1 29654 0 29655 0 29656 0 29657 2 29658 0 29659 0 29660 0 29661 1 29662 0 29663 1 29664 0 29665 1 29666 0 29667 0 29668 0 29669 0 29670 0 29671 0 29672 0 29673 2 29674 0 29675 0 29676 0 29677 1 29678 0 29679 1 29680 0 29681 4 29682 0 29683 0 29684 0 29685 0 29686 0 29687 0 29688 0 29689 1 29690 0 29691 0 29692 0 29693 3 29694 0 29695 1 29696 0 29697 1 29698 0 29699 0 29700 0 29701 0 29702 0 29703 0 29704 0 29705 2 29706 0 29707 0 29708 0 29709 0 29710 0 29711 0 29712 0 29713 3 29714 0 29715 0 29716 0 29717 0 29718 0 29719 0 29720 0 29721 3 29722 0 29723 0 29724 0 29725 1 29726 0 29727 0 29728 0 29729 2 29730 0 29731 0 29732 0 29733 0 29734 0 29735 0 29736 0 29737 2 29738 0 29739 0 29740 0 29741 1 29742 0 29743 0 29744 0 29745 0 29746 0 29747 0 29748 0 29749 0 29750 0 29751 0 29752 0 29753 2 29754 0 29755 0 29756 0 29757 0 29758 0 29759 0 29760 0 29761 3 29762 0 29763 0 29764 0 29765 1 29766 0 29767 0 29768 0 29769 3 29770 0 29771 0 29772 0 29773 1 29774 0 29775 0 29776 0 29777 5 29778 0 29779 0 29780 0 29781 0 29782 0 29783 0 29784 0 29785 3 29786 0 29787 0 29788 0 29789 0 29790 0 29791 0 29792 0 29793 3 29794 0 29795 0 29796 0 29797 1 29798 0 29799 0 29800 0 29801 2 29802 0 29803 0 29804 0 29805 1 29806 0 29807 0 29808 0 29809 2 29810 0 29811 0 29812 0 29813 0 29814 0 29815 1 29816 0 29817 3 29818 0 29819 0 29820 0 29821 0 29822 0 29823 1 29824 0 29825 1 29826 0 29827 0 29828 0 29829 0 29830 0 29831 0 29832 0 29833 3 29834 0 29835 0 29836 0 29837 1 29838 0 29839 0 29840 0 29841 1 29842 0 29843 1 29844 0 29845 1 29846 0 29847 0 29848 0 29849 1 29850 0 29851 0 29852 0 29853 1 29854 0 29855 0 29856 0 29857 3 29858 0 29859 0 29860 0 29861 3 29862 0 29863 0 29864 0 29865 4 29866 0 29867 1 29868 0 29869 3 29870 0 29871 0 29872 0 29873 0 29874 0 29875 0 29876 0 29877 1 29878 0 29879 0 29880 0 29881 1 29882 0 29883 1 29884 0 29885 0 29886 0 29887 0 29888 0 29889 2 29890 0 29891 0 29892 0 29893 0 29894 0 29895 0 29896 0 29897 0 29898 0 29899 0 29900 0 29901 1 29902 0 29903 0 29904 0 29905 3 29906 0 29907 0 29908 0 29909 1 29910 0 29911 0 29912 0 29913 2 29914 0 29915 0 29916 0 29917 1 29918 0 29919 0 29920 0 29921 2 29922 0 29923 0 29924 0 29925 2 29926 0 29927 0 29928 0 29929 3 29930 0 29931 0 29932 0 29933 2 29934 0 29935 0 29936 0 29937 0 29938 0 29939 0 29940 0 29941 1 29942 0 29943 0 29944 0 29945 3 29946 0 29947 0 29948 0 29949 0 29950 0 29951 1 29952 0 29953 1 29954 0 29955 0 29956 0 29957 0 29958 0 29959 0 29960 0 29961 1 29962 0 29963 0 29964 0 29965 1 29966 0 29967 0 29968 0 29969 4 29970 0 29971 0 29972 0 29973 1 29974 0 29975 1 29976 0 29977 2 29978 0 29979 0 29980 0 29981 0 29982 0 29983 0 29984 0 29985 2 29986 0 29987 0 29988 0 29989 3 29990 0 29991 1 29992 0 29993 2 29994 0 29995 1 29996 0 29997 1 29998 0 29999 0 30000 0 47: Average symbolic conclusion length is 4773908029/1011747 ≈ 4718.48. (Median: 2133) There are 1846 minimal D-proofs with conclusions of even symbolic length, and there are 1009901 minimal D-proofs with conclusions of odd symbolic length. [1846/1011747 ≈ 0.18% even] 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 10 0 11 0 12 0 13 0 14 0 15 0 16 2 17 0 18 0 19 0 20 0 21 0 22 0 23 1 24 0 25 1 26 0 27 1 28 1 29 0 30 1 31 2 32 0 33 4 34 0 35 2 36 0 37 2 38 0 39 3 40 0 41 3 42 0 43 1 44 2 45 8 46 3 47 4 48 0 49 15 50 0 51 12 52 0 53 18 54 0 55 18 56 5 57 11 58 0 59 11 60 0 61 17 62 0 63 14 64 1 65 28 66 0 67 12 68 1 69 28 70 3 71 12 72 3 73 32 74 2 75 32 76 0 77 44 78 3 79 76 80 2 81 36 82 3 83 39 84 3 85 55 86 3 87 26 88 1 89 52 90 1 91 29 92 0 93 47 94 0 95 45 96 0 97 41 98 0 99 59 100 1 101 82 102 1 103 79 104 2 105 88 106 1 107 71 108 6 109 92 110 1 111 67 112 1 113 110 114 1 115 61 116 1 117 128 118 1 119 58 120 1 121 101 122 3 123 105 124 3 125 109 126 5 127 99 128 1 129 123 130 5 131 91 132 0 133 149 134 3 135 119 136 1 137 131 138 5 139 85 140 2 141 127 142 0 143 129 144 3 145 168 146 1 147 107 148 1 149 166 150 6 151 138 152 2 153 180 154 4 155 137 156 4 157 171 158 1 159 109 160 2 161 193 162 3 163 147 164 4 165 232 166 0 167 140 168 3 169 224 170 7 171 131 172 2 173 254 174 2 175 160 176 3 177 207 178 1 179 164 180 3 181 205 182 2 183 157 184 1 185 247 186 1 187 175 188 2 189 263 190 6 191 188 192 2 193 248 194 1 195 179 196 1 197 262 198 0 199 171 200 1 201 275 202 1 203 185 204 6 205 287 206 2 207 203 208 2 209 300 210 3 211 174 212 1 213 296 214 3 215 191 216 2 217 303 218 1 219 205 220 3 221 334 222 3 223 181 224 2 225 320 226 1 227 219 228 4 229 372 230 1 231 247 232 3 233 360 234 1 235 222 236 1 237 349 238 2 239 228 240 0 241 380 242 3 243 206 244 0 245 372 246 3 247 206 248 1 249 402 250 4 251 243 252 4 253 367 254 4 255 226 256 1 257 420 258 5 259 245 260 2 261 426 262 2 263 245 264 3 265 443 266 3 267 285 268 3 269 501 270 2 271 306 272 1 273 495 274 2 275 211 276 4 277 483 278 7 279 269 280 0 281 466 282 4 283 314 284 1 285 514 286 2 287 262 288 3 289 508 290 5 291 279 292 2 293 501 294 6 295 274 296 1 297 547 298 5 299 286 300 2 301 540 302 7 303 301 304 2 305 560 306 3 307 284 308 6 309 543 310 4 311 281 312 4 313 533 314 5 315 265 316 4 317 575 318 4 319 288 320 0 321 528 322 4 323 311 324 4 325 584 326 2 327 289 328 3 329 579 330 2 331 352 332 2 333 550 334 1 335 333 336 4 337 607 338 6 339 326 340 3 341 629 342 0 343 306 344 2 345 659 346 3 347 352 348 2 349 655 350 2 351 288 352 3 353 630 354 7 355 369 356 1 357 678 358 2 359 323 360 8 361 631 362 2 363 342 364 2 365 708 366 4 367 328 368 6 369 667 370 1 371 309 372 3 373 689 374 1 375 360 376 4 377 665 378 4 379 350 380 3 381 717 382 0 383 353 384 3 385 696 386 2 387 353 388 1 389 722 390 5 391 387 392 4 393 746 394 2 395 355 396 0 397 681 398 4 399 393 400 3 401 735 402 0 403 355 404 4 405 694 406 3 407 330 408 1 409 785 410 2 411 362 412 6 413 713 414 2 415 356 416 2 417 766 418 6 419 394 420 4 421 734 422 5 423 387 424 4 425 763 426 0 427 347 428 4 429 789 430 1 431 361 432 1 433 740 434 2 435 362 436 4 437 747 438 7 439 395 440 6 441 737 442 2 443 355 444 6 445 791 446 1 447 365 448 1 449 775 450 4 451 433 452 3 453 762 454 3 455 408 456 2 457 773 458 5 459 419 460 4 461 796 462 4 463 392 464 3 465 791 466 1 467 424 468 7 469 825 470 4 471 371 472 1 473 751 474 5 475 373 476 4 477 826 478 2 479 379 480 5 481 842 482 6 483 444 484 5 485 841 486 3 487 379 488 3 489 848 490 0 491 425 492 5 493 812 494 4 495 418 496 1 497 843 498 2 499 385 500 2 501 818 502 2 503 408 504 2 505 797 506 3 507 427 508 3 509 823 510 3 511 383 512 3 513 834 514 7 515 384 516 4 517 821 518 4 519 361 520 1 521 864 522 2 523 424 524 3 525 849 526 6 527 419 528 1 529 871 530 6 531 411 532 3 533 904 534 2 535 412 536 5 537 865 538 5 539 407 540 4 541 823 542 3 543 405 544 3 545 853 546 2 547 417 548 7 549 882 550 1 551 419 552 2 553 944 554 2 555 409 556 6 557 869 558 4 559 393 560 1 561 886 562 6 563 411 564 2 565 893 566 0 567 425 568 4 569 937 570 0 571 414 572 5 573 845 574 2 575 437 576 4 577 806 578 3 579 396 580 3 581 868 582 4 583 402 584 1 585 923 586 1 587 406 588 4 589 904 590 1 591 437 592 2 593 902 594 4 595 446 596 2 597 880 598 2 599 431 600 1 601 880 602 1 603 431 604 2 605 916 606 2 607 397 608 0 609 919 610 5 611 426 612 3 613 849 614 0 615 469 616 3 617 931 618 1 619 426 620 4 621 980 622 3 623 439 624 8 625 871 626 3 627 388 628 4 629 915 630 1 631 418 632 1 633 926 634 0 635 417 636 2 637 889 638 0 639 389 640 4 641 908 642 2 643 406 644 2 645 906 646 4 647 424 648 4 649 924 650 2 651 406 652 1 653 896 654 1 655 427 656 2 657 862 658 1 659 387 660 5 661 924 662 0 663 412 664 2 665 949 666 2 667 434 668 1 669 933 670 5 671 384 672 0 673 941 674 1 675 397 676 1 677 904 678 1 679 393 680 4 681 959 682 5 683 415 684 2 685 892 686 1 687 416 688 1 689 932 690 2 691 407 692 3 693 902 694 3 695 411 696 1 697 994 698 0 699 377 700 1 701 899 702 0 703 411 704 4 705 890 706 3 707 417 708 2 709 925 710 0 711 372 712 0 713 918 714 5 715 429 716 4 717 859 718 1 719 413 720 1 721 923 722 1 723 406 724 1 725 929 726 1 727 397 728 3 729 945 730 2 731 405 732 2 733 927 734 3 735 410 736 2 737 948 738 3 739 404 740 1 741 991 742 1 743 396 744 1 745 905 746 0 747 433 748 4 749 952 750 3 751 383 752 2 753 983 754 3 755 409 756 0 757 983 758 3 759 373 760 0 761 940 762 4 763 392 764 2 765 924 766 0 767 409 768 6 769 968 770 1 771 384 772 2 773 919 774 2 775 413 776 1 777 973 778 6 779 392 780 3 781 891 782 3 783 378 784 0 785 818 786 2 787 370 788 1 789 912 790 0 791 362 792 0 793 968 794 2 795 407 796 1 797 876 798 1 799 384 800 3 801 905 802 3 803 374 804 3 805 935 806 1 807 346 808 6 809 876 810 2 811 355 812 1 813 940 814 2 815 365 816 6 817 921 818 2 819 355 820 5 821 966 822 1 823 361 824 3 825 954 826 5 827 398 828 0 829 897 830 3 831 367 832 1 833 894 834 2 835 390 836 1 837 867 838 1 839 375 840 3 841 950 842 1 843 375 844 1 845 917 846 2 847 369 848 2 849 894 850 1 851 385 852 1 853 890 854 1 855 374 856 5 857 958 858 3 859 342 860 1 861 871 862 1 863 393 864 3 865 964 866 2 867 384 868 2 869 949 870 2 871 373 872 7 873 870 874 4 875 356 876 0 877 943 878 0 879 403 880 1 881 927 882 2 883 320 884 3 885 921 886 1 887 345 888 2 889 881 890 2 891 356 892 0 893 937 894 10 895 362 896 2 897 898 898 2 899 368 900 3 901 878 902 1 903 363 904 2 905 915 906 0 907 359 908 1 909 925 910 1 911 340 912 0 913 907 914 2 915 332 916 2 917 943 918 3 919 359 920 2 921 969 922 1 923 332 924 0 925 898 926 1 927 410 928 3 929 947 930 3 931 344 932 3 933 967 934 1 935 331 936 3 937 912 938 0 939 331 940 2 941 914 942 4 943 351 944 2 945 926 946 1 947 310 948 1 949 883 950 1 951 366 952 1 953 940 954 0 955 364 956 1 957 886 958 1 959 354 960 1 961 897 962 1 963 348 964 2 965 862 966 1 967 339 968 2 969 890 970 2 971 303 972 2 973 911 974 1 975 330 976 5 977 911 978 1 979 302 980 1 981 925 982 1 983 357 984 1 985 886 986 1 987 304 988 1 989 871 990 2 991 369 992 0 993 895 994 0 995 342 996 3 997 854 998 1 999 345 1000 1 1001 893 1002 1 1003 325 1004 2 1005 870 1006 3 1007 340 1008 1 1009 862 1010 4 1011 319 1012 1 1013 886 1014 0 1015 298 1016 3 1017 879 1018 3 1019 334 1020 1 1021 874 1022 0 1023 313 1024 1 1025 893 1026 0 1027 345 1028 2 1029 848 1030 1 1031 324 1032 0 1033 903 1034 1 1035 341 1036 1 1037 860 1038 2 1039 295 1040 0 1041 899 1042 0 1043 332 1044 0 1045 851 1046 3 1047 332 1048 2 1049 879 1050 0 1051 312 1052 1 1053 787 1054 3 1055 320 1056 0 1057 833 1058 0 1059 324 1060 1 1061 829 1062 0 1063 340 1064 2 1065 859 1066 0 1067 335 1068 2 1069 884 1070 0 1071 309 1072 2 1073 881 1074 0 1075 321 1076 0 1077 874 1078 2 1079 309 1080 1 1081 908 1082 0 1083 309 1084 1 1085 875 1086 0 1087 307 1088 0 1089 840 1090 0 1091 332 1092 2 1093 883 1094 0 1095 318 1096 3 1097 848 1098 1 1099 317 1100 0 1101 839 1102 3 1103 310 1104 1 1105 920 1106 0 1107 332 1108 3 1109 863 1110 0 1111 286 1112 2 1113 823 1114 3 1115 322 1116 3 1117 892 1118 0 1119 315 1120 1 1121 853 1122 2 1123 267 1124 1 1125 867 1126 0 1127 299 1128 3 1129 851 1130 0 1131 320 1132 1 1133 915 1134 2 1135 313 1136 0 1137 865 1138 1 1139 321 1140 1 1141 822 1142 1 1143 287 1144 1 1145 862 1146 0 1147 307 1148 3 1149 859 1150 2 1151 316 1152 0 1153 851 1154 2 1155 298 1156 1 1157 773 1158 0 1159 319 1160 2 1161 899 1162 0 1163 311 1164 0 1165 839 1166 1 1167 277 1168 1 1169 798 1170 3 1171 346 1172 0 1173 864 1174 3 1175 323 1176 3 1177 800 1178 0 1179 254 1180 1 1181 804 1182 2 1183 292 1184 1 1185 778 1186 2 1187 304 1188 0 1189 845 1190 2 1191 330 1192 2 1193 858 1194 1 1195 289 1196 2 1197 800 1198 1 1199 293 1200 3 1201 859 1202 2 1203 272 1204 0 1205 877 1206 0 1207 281 1208 0 1209 808 1210 1 1211 273 1212 1 1213 888 1214 2 1215 270 1216 2 1217 797 1218 1 1219 272 1220 1 1221 828 1222 2 1223 294 1224 0 1225 816 1226 2 1227 259 1228 0 1229 791 1230 2 1231 268 1232 0 1233 801 1234 1 1235 278 1236 2 1237 791 1238 2 1239 271 1240 1 1241 806 1242 1 1243 308 1244 0 1245 774 1246 1 1247 281 1248 1 1249 801 1250 1 1251 287 1252 0 1253 834 1254 1 1255 290 1256 0 1257 837 1258 0 1259 292 1260 0 1261 771 1262 0 1263 260 1264 0 1265 802 1266 0 1267 273 1268 2 1269 853 1270 1 1271 290 1272 2 1273 809 1274 0 1275 283 1276 0 1277 795 1278 1 1279 247 1280 2 1281 848 1282 4 1283 266 1284 1 1285 815 1286 0 1287 236 1288 1 1289 827 1290 1 1291 294 1292 2 1293 807 1294 1 1295 231 1296 3 1297 776 1298 1 1299 296 1300 1 1301 797 1302 0 1303 267 1304 0 1305 827 1306 1 1307 263 1308 0 1309 782 1310 0 1311 261 1312 1 1313 798 1314 0 1315 255 1316 1 1317 764 1318 1 1319 266 1320 1 1321 787 1322 1 1323 260 1324 1 1325 781 1326 2 1327 281 1328 1 1329 833 1330 1 1331 245 1332 0 1333 782 1334 0 1335 251 1336 1 1337 802 1338 3 1339 258 1340 0 1341 750 1342 0 1343 256 1344 1 1345 788 1346 0 1347 251 1348 1 1349 766 1350 1 1351 244 1352 1 1353 821 1354 0 1355 275 1356 0 1357 809 1358 0 1359 232 1360 0 1361 805 1362 1 1363 287 1364 0 1365 782 1366 2 1367 242 1368 2 1369 832 1370 1 1371 227 1372 0 1373 775 1374 1 1375 239 1376 0 1377 800 1378 0 1379 283 1380 0 1381 807 1382 0 1383 262 1384 2 1385 826 1386 1 1387 252 1388 0 1389 760 1390 0 1391 223 1392 0 1393 726 1394 0 1395 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5 28154 0 28155 0 28156 0 28157 4 28158 0 28159 0 28160 0 28161 8 28162 0 28163 1 28164 0 28165 2 28166 0 28167 0 28168 0 28169 3 28170 0 28171 1 28172 0 28173 2 28174 0 28175 3 28176 0 28177 7 28178 0 28179 0 28180 0 28181 4 28182 0 28183 1 28184 0 28185 7 28186 0 28187 0 28188 0 28189 2 28190 0 28191 1 28192 0 28193 8 28194 0 28195 1 28196 0 28197 3 28198 0 28199 0 28200 0 28201 5 28202 0 28203 1 28204 0 28205 11 28206 0 28207 1 28208 0 28209 4 28210 0 28211 1 28212 0 28213 3 28214 0 28215 1 28216 0 28217 9 28218 0 28219 0 28220 0 28221 6 28222 0 28223 1 28224 0 28225 3 28226 0 28227 0 28228 0 28229 4 28230 0 28231 0 28232 0 28233 4 28234 0 28235 0 28236 0 28237 3 28238 0 28239 2 28240 0 28241 9 28242 0 28243 0 28244 0 28245 9 28246 0 28247 1 28248 0 28249 8 28250 0 28251 1 28252 0 28253 1 28254 0 28255 3 28256 0 28257 7 28258 0 28259 1 28260 0 28261 6 28262 0 28263 1 28264 0 28265 8 28266 0 28267 0 28268 0 28269 6 28270 0 28271 0 28272 0 28273 4 28274 0 28275 1 28276 0 28277 5 28278 0 28279 1 28280 0 28281 2 28282 0 28283 2 28284 0 28285 6 28286 0 28287 3 28288 0 28289 1 28290 0 28291 3 28292 0 28293 1 28294 0 28295 0 28296 0 28297 7 28298 0 28299 0 28300 0 28301 8 28302 0 28303 1 28304 0 28305 3 28306 0 28307 2 28308 0 28309 9 28310 0 28311 0 28312 0 28313 8 28314 0 28315 0 28316 0 28317 1 28318 0 28319 0 28320 0 28321 5 28322 0 28323 1 28324 0 28325 3 28326 0 28327 1 28328 0 28329 5 28330 0 28331 0 28332 0 28333 4 28334 0 28335 0 28336 0 28337 2 28338 0 28339 0 28340 0 28341 1 28342 0 28343 0 28344 0 28345 7 28346 0 28347 2 28348 0 28349 2 28350 0 28351 1 28352 0 28353 8 28354 0 28355 1 28356 0 28357 8 28358 0 28359 1 28360 0 28361 7 28362 0 28363 0 28364 0 28365 7 28366 0 28367 3 28368 0 28369 6 28370 0 28371 0 28372 0 28373 7 28374 0 28375 0 28376 0 28377 7 28378 0 28379 0 28380 0 28381 2 28382 0 28383 0 28384 0 28385 10 28386 0 28387 0 28388 0 28389 11 28390 0 28391 0 28392 0 28393 3 28394 0 28395 0 28396 0 28397 6 28398 0 28399 2 28400 0 28401 6 28402 0 28403 1 28404 0 28405 5 28406 0 28407 0 28408 0 28409 3 28410 0 28411 0 28412 0 28413 5 28414 0 28415 0 28416 0 28417 7 28418 0 28419 0 28420 0 28421 8 28422 0 28423 0 28424 0 28425 3 28426 0 28427 2 28428 0 28429 4 28430 0 28431 1 28432 0 28433 6 28434 0 28435 0 28436 0 28437 5 28438 0 28439 1 28440 0 28441 10 28442 0 28443 0 28444 0 28445 6 28446 0 28447 1 28448 0 28449 5 28450 0 28451 0 28452 0 28453 6 28454 0 28455 2 28456 0 28457 4 28458 0 28459 1 28460 0 28461 9 28462 0 28463 0 28464 0 28465 3 28466 0 28467 3 28468 0 28469 5 28470 0 28471 2 28472 0 28473 4 28474 0 28475 2 28476 0 28477 10 28478 0 28479 0 28480 0 28481 6 28482 0 28483 0 28484 0 28485 5 28486 0 28487 0 28488 0 28489 6 28490 0 28491 0 28492 0 28493 13 28494 0 28495 1 28496 0 28497 3 28498 0 28499 3 28500 0 28501 5 28502 0 28503 0 28504 0 28505 2 28506 0 28507 0 28508 0 28509 2 28510 0 28511 1 28512 0 28513 5 28514 0 28515 1 28516 0 28517 4 28518 0 28519 2 28520 0 28521 5 28522 0 28523 0 28524 0 28525 4 28526 0 28527 1 28528 0 28529 8 28530 0 28531 2 28532 0 28533 5 28534 0 28535 0 28536 0 28537 7 28538 0 28539 1 28540 0 28541 4 28542 0 28543 0 28544 0 28545 8 28546 0 28547 2 28548 0 28549 6 28550 0 28551 0 28552 0 28553 8 28554 0 28555 0 28556 0 28557 3 28558 0 28559 0 28560 0 28561 2 28562 0 28563 0 28564 0 28565 6 28566 0 28567 2 28568 0 28569 7 28570 0 28571 1 28572 0 28573 6 28574 0 28575 0 28576 0 28577 5 28578 0 28579 0 28580 0 28581 5 28582 0 28583 1 28584 0 28585 6 28586 0 28587 1 28588 0 28589 3 28590 0 28591 1 28592 0 28593 3 28594 0 28595 1 28596 0 28597 5 28598 0 28599 1 28600 0 28601 7 28602 0 28603 0 28604 0 28605 6 28606 0 28607 0 28608 0 28609 6 28610 0 28611 1 28612 0 28613 6 28614 0 28615 0 28616 0 28617 2 28618 0 28619 0 28620 0 28621 5 28622 0 28623 0 28624 0 28625 6 28626 0 28627 0 28628 0 28629 7 28630 0 28631 1 28632 0 28633 7 28634 0 28635 1 28636 0 28637 1 28638 0 28639 0 28640 0 28641 3 28642 0 28643 0 28644 0 28645 5 28646 0 28647 0 28648 0 28649 8 28650 0 28651 2 28652 0 28653 7 28654 0 28655 0 28656 0 28657 7 28658 0 28659 0 28660 0 28661 4 28662 0 28663 0 28664 0 28665 6 28666 0 28667 1 28668 0 28669 2 28670 0 28671 1 28672 0 28673 4 28674 0 28675 0 28676 0 28677 2 28678 0 28679 0 28680 0 28681 2 28682 0 28683 0 28684 0 28685 8 28686 0 28687 0 28688 0 28689 3 28690 0 28691 1 28692 0 28693 4 28694 0 28695 0 28696 0 28697 5 28698 0 28699 0 28700 0 28701 8 28702 0 28703 1 28704 0 28705 5 28706 0 28707 0 28708 0 28709 5 28710 0 28711 2 28712 0 28713 5 28714 0 28715 1 28716 0 28717 3 28718 0 28719 1 28720 0 28721 5 28722 0 28723 0 28724 0 28725 4 28726 0 28727 3 28728 0 28729 6 28730 0 28731 2 28732 0 28733 3 28734 0 28735 1 28736 0 28737 12 28738 0 28739 0 28740 0 28741 5 28742 0 28743 1 28744 0 28745 7 28746 0 28747 0 28748 0 28749 5 28750 0 28751 0 28752 0 28753 7 28754 0 28755 0 28756 0 28757 6 28758 0 28759 2 28760 0 28761 4 28762 0 28763 0 28764 0 28765 5 28766 0 28767 0 28768 0 28769 2 28770 0 28771 1 28772 0 28773 7 28774 0 28775 1 28776 0 28777 2 28778 0 28779 2 28780 0 28781 6 28782 0 28783 0 28784 0 28785 6 28786 0 28787 0 28788 0 28789 5 28790 0 28791 0 28792 0 28793 4 28794 0 28795 0 28796 0 28797 2 28798 0 28799 1 28800 0 28801 5 28802 0 28803 1 28804 0 28805 5 28806 0 28807 1 28808 0 28809 2 28810 0 28811 0 28812 0 28813 5 28814 0 28815 0 28816 0 28817 8 28818 0 28819 0 28820 0 28821 5 28822 0 28823 1 28824 0 28825 8 28826 0 28827 0 28828 0 28829 11 28830 0 28831 1 28832 0 28833 4 28834 0 28835 0 28836 0 28837 3 28838 0 28839 0 28840 0 28841 4 28842 0 28843 0 28844 0 28845 5 28846 0 28847 1 28848 0 28849 6 28850 0 28851 0 28852 0 28853 0 28854 0 28855 0 28856 0 28857 9 28858 0 28859 2 28860 0 28861 7 28862 0 28863 1 28864 0 28865 4 28866 0 28867 0 28868 0 28869 5 28870 0 28871 3 28872 0 28873 4 28874 0 28875 0 28876 0 28877 2 28878 0 28879 1 28880 0 28881 8 28882 0 28883 0 28884 0 28885 5 28886 0 28887 0 28888 0 28889 6 28890 0 28891 0 28892 0 28893 4 28894 0 28895 0 28896 0 28897 8 28898 0 28899 0 28900 0 28901 7 28902 0 28903 1 28904 0 28905 5 28906 0 28907 2 28908 0 28909 3 28910 0 28911 0 28912 0 28913 6 28914 0 28915 0 28916 0 28917 2 28918 0 28919 0 28920 0 28921 7 28922 0 28923 0 28924 0 28925 5 28926 0 28927 0 28928 0 28929 2 28930 0 28931 0 28932 0 28933 3 28934 0 28935 1 28936 0 28937 4 28938 0 28939 0 28940 0 28941 5 28942 0 28943 0 28944 0 28945 4 28946 0 28947 1 28948 0 28949 2 28950 0 28951 0 28952 0 28953 4 28954 0 28955 0 28956 0 28957 3 28958 0 28959 0 28960 0 28961 3 28962 0 28963 0 28964 0 28965 2 28966 0 28967 1 28968 0 28969 3 28970 0 28971 0 28972 0 28973 3 28974 0 28975 2 28976 0 28977 2 28978 0 28979 1 28980 0 28981 0 28982 0 28983 1 28984 0 28985 8 28986 0 28987 0 28988 0 28989 1 28990 0 28991 0 28992 0 28993 6 28994 0 28995 1 28996 0 28997 6 28998 0 28999 0 29000 0 29001 6 29002 0 29003 0 29004 0 29005 9 29006 0 29007 0 29008 0 29009 6 29010 0 29011 0 29012 0 29013 2 29014 0 29015 0 29016 0 29017 3 29018 0 29019 0 29020 0 29021 4 29022 0 29023 1 29024 0 29025 3 29026 0 29027 0 29028 0 29029 6 29030 0 29031 1 29032 0 29033 3 29034 0 29035 3 29036 0 29037 3 29038 0 29039 0 29040 0 29041 6 29042 0 29043 2 29044 0 29045 3 29046 0 29047 0 29048 0 29049 2 29050 0 29051 1 29052 0 29053 5 29054 0 29055 1 29056 0 29057 10 29058 0 29059 0 29060 0 29061 5 29062 0 29063 0 29064 0 29065 7 29066 0 29067 0 29068 0 29069 4 29070 0 29071 0 29072 0 29073 3 29074 0 29075 0 29076 0 29077 6 29078 0 29079 2 29080 0 29081 15 29082 0 29083 1 29084 0 29085 1 29086 0 29087 0 29088 0 29089 10 29090 0 29091 0 29092 0 29093 6 29094 0 29095 0 29096 0 29097 6 29098 0 29099 0 29100 0 29101 1 29102 0 29103 0 29104 0 29105 9 29106 0 29107 0 29108 0 29109 3 29110 0 29111 1 29112 0 29113 4 29114 0 29115 1 29116 0 29117 5 29118 0 29119 0 29120 0 29121 5 29122 0 29123 0 29124 0 29125 3 29126 0 29127 1 29128 0 29129 4 29130 0 29131 0 29132 0 29133 4 29134 0 29135 0 29136 0 29137 3 29138 0 29139 0 29140 0 29141 6 29142 0 29143 0 29144 0 29145 5 29146 0 29147 0 29148 0 29149 3 29150 0 29151 0 29152 0 29153 7 29154 0 29155 0 29156 0 29157 4 29158 0 29159 1 29160 0 29161 3 29162 0 29163 1 29164 0 29165 5 29166 0 29167 0 29168 0 29169 1 29170 0 29171 0 29172 0 29173 3 29174 0 29175 0 29176 0 29177 8 29178 0 29179 1 29180 0 29181 6 29182 0 29183 0 29184 0 29185 5 29186 0 29187 0 29188 0 29189 4 29190 0 29191 0 29192 0 29193 6 29194 0 29195 1 29196 0 29197 3 29198 0 29199 0 29200 0 29201 4 29202 0 29203 1 29204 0 29205 4 29206 0 29207 0 29208 0 29209 7 29210 0 29211 1 29212 0 29213 6 29214 0 29215 2 29216 0 29217 9 29218 0 29219 1 29220 0 29221 5 29222 0 29223 0 29224 0 29225 5 29226 0 29227 0 29228 0 29229 4 29230 0 29231 0 29232 0 29233 5 29234 0 29235 1 29236 0 29237 6 29238 0 29239 1 29240 0 29241 2 29242 0 29243 0 29244 0 29245 7 29246 0 29247 0 29248 0 29249 5 29250 0 29251 1 29252 0 29253 7 29254 0 29255 1 29256 0 29257 9 29258 0 29259 2 29260 0 29261 5 29262 0 29263 0 29264 0 29265 4 29266 0 29267 0 29268 0 29269 4 29270 0 29271 0 29272 0 29273 4 29274 0 29275 0 29276 0 29277 4 29278 0 29279 0 29280 0 29281 13 29282 0 29283 0 29284 0 29285 2 29286 0 29287 0 29288 0 29289 3 29290 0 29291 2 29292 0 29293 3 29294 0 29295 2 29296 0 29297 2 29298 0 29299 2 29300 0 29301 3 29302 0 29303 0 29304 0 29305 5 29306 0 29307 0 29308 0 29309 2 29310 0 29311 0 29312 0 29313 4 29314 0 29315 0 29316 0 29317 2 29318 0 29319 0 29320 0 29321 5 29322 0 29323 0 29324 0 29325 2 29326 0 29327 1 29328 0 29329 5 29330 0 29331 0 29332 0 29333 5 29334 0 29335 1 29336 0 29337 4 29338 0 29339 0 29340 0 29341 4 29342 0 29343 0 29344 0 29345 6 29346 0 29347 0 29348 0 29349 0 29350 0 29351 0 29352 0 29353 10 29354 0 29355 0 29356 0 29357 3 29358 0 29359 2 29360 0 29361 6 29362 0 29363 1 29364 0 29365 3 29366 0 29367 0 29368 0 29369 5 29370 0 29371 0 29372 0 29373 4 29374 0 29375 0 29376 0 29377 2 29378 0 29379 0 29380 0 29381 2 29382 0 29383 0 29384 0 29385 1 29386 0 29387 1 29388 0 29389 4 29390 0 29391 1 29392 0 29393 4 29394 0 29395 1 29396 0 29397 2 29398 0 29399 0 29400 0 29401 5 29402 0 29403 0 29404 0 29405 0 29406 0 29407 1 29408 0 29409 4 29410 0 29411 1 29412 0 29413 5 29414 0 29415 0 29416 0 29417 6 29418 0 29419 0 29420 0 29421 6 29422 0 29423 0 29424 0 29425 4 29426 0 29427 1 29428 0 29429 2 29430 0 29431 0 29432 0 29433 7 29434 0 29435 0 29436 0 29437 0 29438 0 29439 1 29440 0 29441 5 29442 0 29443 1 29444 0 29445 4 29446 0 29447 0 29448 0 29449 3 29450 0 29451 0 29452 0 29453 4 29454 0 29455 1 29456 0 29457 4 29458 0 29459 1 29460 0 29461 0 29462 0 29463 0 29464 0 29465 5 29466 0 29467 0 29468 0 29469 4 29470 0 29471 1 29472 0 29473 5 29474 0 29475 1 29476 0 29477 5 29478 0 29479 1 29480 0 29481 4 29482 0 29483 1 29484 0 29485 5 29486 0 29487 1 29488 0 29489 3 29490 0 29491 1 29492 0 29493 5 29494 0 29495 1 29496 0 29497 1 29498 0 29499 0 29500 0 29501 4 29502 0 29503 0 29504 0 29505 3 29506 0 29507 1 29508 0 29509 4 29510 0 29511 1 29512 0 29513 2 29514 0 29515 0 29516 0 29517 2 29518 0 29519 0 29520 0 29521 4 29522 0 29523 1 29524 0 29525 5 29526 0 29527 0 29528 0 29529 4 29530 0 29531 1 29532 0 29533 5 29534 0 29535 0 29536 0 29537 1 29538 0 29539 0 29540 0 29541 4 29542 0 29543 1 29544 0 29545 6 29546 0 29547 0 29548 0 29549 3 29550 0 29551 0 29552 0 29553 4 29554 0 29555 0 29556 0 29557 6 29558 0 29559 0 29560 0 29561 3 29562 0 29563 1 29564 0 29565 4 29566 0 29567 0 29568 0 29569 4 29570 0 29571 1 29572 0 29573 7 29574 0 29575 0 29576 0 29577 4 29578 0 29579 0 29580 0 29581 1 29582 0 29583 0 29584 0 29585 2 29586 0 29587 1 29588 0 29589 6 29590 0 29591 1 29592 0 29593 3 29594 0 29595 0 29596 0 29597 4 29598 0 29599 0 29600 0 29601 3 29602 0 29603 0 29604 0 29605 10 29606 0 29607 0 29608 0 29609 4 29610 0 29611 1 29612 0 29613 6 29614 0 29615 2 29616 0 29617 3 29618 0 29619 0 29620 0 29621 4 29622 0 29623 1 29624 0 29625 6 29626 0 29627 0 29628 0 29629 2 29630 0 29631 0 29632 0 29633 7 29634 0 29635 0 29636 0 29637 4 29638 0 29639 0 29640 0 29641 5 29642 0 29643 0 29644 0 29645 3 29646 0 29647 0 29648 0 29649 1 29650 0 29651 0 29652 0 29653 5 29654 0 29655 1 29656 0 29657 4 29658 0 29659 1 29660 0 29661 3 29662 0 29663 0 29664 0 29665 2 29666 0 29667 1 29668 0 29669 5 29670 0 29671 2 29672 0 29673 8 29674 0 29675 0 29676 0 29677 2 29678 0 29679 1 29680 0 29681 6 29682 0 29683 1 29684 0 29685 3 29686 0 29687 0 29688 0 29689 9 29690 0 29691 1 29692 0 29693 6 29694 0 29695 0 29696 0 29697 5 29698 0 29699 0 29700 0 29701 5 29702 0 29703 0 29704 0 29705 6 29706 0 29707 1 29708 0 29709 1 29710 0 29711 0 29712 0 29713 7 29714 0 29715 0 29716 0 29717 3 29718 0 29719 0 29720 0 29721 0 29722 0 29723 0 29724 0 29725 4 29726 0 29727 0 29728 0 29729 9 29730 0 29731 0 29732 0 29733 1 29734 0 29735 0 29736 0 29737 5 29738 0 29739 0 29740 0 29741 4 29742 0 29743 0 29744 0 29745 6 29746 0 29747 0 29748 0 29749 0 29750 0 29751 2 29752 0 29753 3 29754 0 29755 1 29756 0 29757 3 29758 0 29759 0 29760 0 29761 4 29762 0 29763 0 29764 0 29765 8 29766 0 29767 0 29768 0 29769 2 29770 0 29771 1 29772 0 29773 7 29774 0 29775 2 29776 0 29777 3 29778 0 29779 1 29780 0 29781 4 29782 0 29783 0 29784 0 29785 2 29786 0 29787 1 29788 0 29789 2 29790 0 29791 0 29792 0 29793 4 29794 0 29795 0 29796 0 29797 1 29798 0 29799 1 29800 0 29801 7 29802 0 29803 0 29804 0 29805 2 29806 0 29807 0 29808 0 29809 4 29810 0 29811 0 29812 0 29813 3 29814 0 29815 0 29816 0 29817 7 29818 0 29819 0 29820 0 29821 7 29822 0 29823 1 29824 0 29825 3 29826 0 29827 0 29828 0 29829 7 29830 0 29831 1 29832 0 29833 3 29834 0 29835 1 29836 0 29837 4 29838 0 29839 0 29840 0 29841 6 29842 0 29843 1 29844 0 29845 4 29846 0 29847 0 29848 0 29849 5 29850 0 29851 0 29852 0 29853 4 29854 0 29855 0 29856 0 29857 4 29858 0 29859 1 29860 0 29861 3 29862 0 29863 1 29864 0 29865 8 29866 0 29867 0 29868 0 29869 3 29870 0 29871 0 29872 0 29873 3 29874 0 29875 0 29876 0 29877 3 29878 0 29879 0 29880 0 29881 6 29882 0 29883 0 29884 0 29885 4 29886 0 29887 1 29888 0 29889 8 29890 0 29891 1 29892 0 29893 6 29894 0 29895 1 29896 0 29897 3 29898 0 29899 1 29900 0 29901 5 29902 0 29903 0 29904 0 29905 6 29906 0 29907 0 29908 0 29909 4 29910 0 29911 1 29912 0 29913 4 29914 0 29915 1 29916 0 29917 3 29918 0 29919 0 29920 0 29921 5 29922 0 29923 0 29924 0 29925 2 29926 0 29927 0 29928 0 29929 8 29930 0 29931 0 29932 0 29933 6 29934 0 29935 0 29936 0 29937 4 29938 0 29939 0 29940 0 29941 3 29942 0 29943 0 29944 0 29945 2 29946 0 29947 0 29948 0 29949 6 29950 0 29951 0 29952 0 29953 2 29954 0 29955 0 29956 0 29957 7 29958 0 29959 0 29960 0 29961 7 29962 0 29963 0 29964 0 29965 1 29966 0 29967 0 29968 0 29969 5 29970 0 29971 0 29972 0 29973 5 29974 0 29975 0 29976 0 29977 4 29978 0 29979 0 29980 0 29981 8 29982 0 29983 1 29984 0 29985 4 29986 0 29987 0 29988 0 29989 6 29990 0 29991 0 29992 0 29993 4 29994 0 29995 0 29996 0 29997 2 29998 0 29999 0 30000 0 49: Average symbolic conclusion length is 11293041485/2035230 ≈ 5548.78. (Median: 2425) There are 3949 minimal D-proofs with conclusions of even symbolic length, and there are 2031281 minimal D-proofs with conclusions of odd symbolic length. [3949/2035230 ≈ 0.19% even] 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 10 1 11 0 12 0 13 0 14 1 15 0 16 2 17 0 18 0 19 0 20 0 21 1 22 0 23 0 24 0 25 1 26 0 27 0 28 0 29 4 30 1 31 0 32 3 33 14 34 5 35 10 36 0 37 3 38 0 39 2 40 1 41 2 42 1 43 1 44 2 45 5 46 1 47 4 48 2 49 9 50 4 51 3 52 2 53 8 54 2 55 15 56 4 57 14 58 3 59 6 60 8 61 22 62 6 63 22 64 0 65 40 66 0 67 41 68 0 69 35 70 3 71 34 72 5 73 44 74 1 75 43 76 2 77 44 78 3 79 42 80 0 81 54 82 7 83 44 84 1 85 23 86 1 87 35 88 5 89 58 90 3 91 56 92 2 93 76 94 6 95 72 96 2 97 109 98 4 99 85 100 1 101 92 102 2 103 81 104 2 105 85 106 3 107 70 108 2 109 129 110 3 111 95 112 1 113 145 114 3 115 90 116 7 117 166 118 0 119 135 120 2 121 162 122 6 123 154 124 1 125 141 126 3 127 154 128 2 129 146 130 4 131 135 132 3 133 193 134 1 135 111 136 3 137 221 138 3 139 159 140 1 141 214 142 1 143 156 144 8 145 195 146 8 147 174 148 3 149 257 150 0 151 207 152 4 153 264 154 5 155 197 156 3 157 299 158 2 159 225 160 1 161 358 162 3 163 211 164 5 165 322 166 2 167 231 168 2 169 303 170 3 171 197 172 2 173 332 174 3 175 230 176 6 177 347 178 4 179 275 180 2 181 342 182 3 183 265 184 3 185 360 186 5 187 279 188 2 189 365 190 2 191 283 192 3 193 415 194 2 195 274 196 3 197 428 198 1 199 285 200 4 201 441 202 3 203 341 204 5 205 439 206 3 207 318 208 5 209 520 210 6 211 313 212 7 213 518 214 13 215 329 216 3 217 495 218 10 219 363 220 5 221 502 222 5 223 380 224 6 225 532 226 3 227 340 228 3 229 567 230 4 231 378 232 2 233 591 234 5 235 360 236 3 237 600 238 3 239 344 240 5 241 594 242 1 243 394 244 2 245 627 246 9 247 388 248 6 249 678 250 5 251 391 252 1 253 680 254 6 255 412 256 7 257 652 258 4 259 390 260 8 261 661 262 4 263 395 264 8 265 634 266 3 267 397 268 4 269 715 270 2 271 417 272 5 273 688 274 5 275 413 276 9 277 709 278 5 279 413 280 5 281 735 282 2 283 397 284 4 285 711 286 4 287 430 288 12 289 751 290 2 291 438 292 5 293 797 294 7 295 450 296 5 297 820 298 2 299 448 300 4 301 811 302 6 303 481 304 5 305 793 306 10 307 515 308 8 309 845 310 1 311 501 312 6 313 826 314 8 315 486 316 4 317 838 318 13 319 509 320 6 321 880 322 10 323 489 324 1 325 917 326 5 327 478 328 4 329 951 330 6 331 480 332 10 333 913 334 3 335 512 336 4 337 1039 338 8 339 473 340 2 341 969 342 5 343 570 344 0 345 1023 346 4 347 546 348 7 349 991 350 5 351 523 352 7 353 946 354 5 355 569 356 4 357 1059 358 3 359 578 360 6 361 1021 362 4 363 544 364 5 365 1081 366 3 367 506 368 10 369 1061 370 6 371 568 372 5 373 956 374 8 375 561 376 2 377 1089 378 3 379 500 380 7 381 1074 382 7 383 614 384 2 385 1101 386 10 387 561 388 4 389 1111 390 8 391 605 392 10 393 1021 394 5 395 659 396 6 397 1208 398 14 399 587 400 2 401 1110 402 4 403 606 404 4 405 1106 406 11 407 593 408 2 409 1229 410 5 411 643 412 4 413 1152 414 5 415 601 416 4 417 1257 418 4 419 575 420 6 421 1188 422 8 423 615 424 11 425 1207 426 7 427 651 428 4 429 1223 430 6 431 638 432 9 433 1296 434 4 435 659 436 4 437 1260 438 3 439 577 440 7 441 1269 442 8 443 632 444 6 445 1275 446 6 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584 3 585 1456 586 5 587 762 588 3 589 1558 590 10 591 732 592 7 593 1453 594 6 595 749 596 9 597 1514 598 6 599 722 600 1 601 1579 602 3 603 732 604 6 605 1463 606 5 607 747 608 7 609 1546 610 1 611 755 612 4 613 1515 614 4 615 664 616 6 617 1578 618 7 619 745 620 6 621 1581 622 10 623 721 624 0 625 1488 626 3 627 734 628 6 629 1508 630 9 631 762 632 14 633 1574 634 8 635 713 636 9 637 1528 638 4 639 745 640 3 641 1542 642 4 643 690 644 5 645 1588 646 1 647 725 648 6 649 1624 650 3 651 744 652 4 653 1533 654 4 655 696 656 4 657 1608 658 8 659 737 660 5 661 1585 662 7 663 717 664 2 665 1565 666 1 667 749 668 6 669 1576 670 3 671 762 672 7 673 1588 674 2 675 744 676 6 677 1524 678 1 679 734 680 3 681 1648 682 6 683 724 684 8 685 1619 686 7 687 767 688 7 689 1673 690 5 691 644 692 4 693 1642 694 5 695 747 696 4 697 1601 698 3 699 731 700 6 701 1626 702 4 703 746 704 6 705 1651 706 3 707 820 708 7 709 1513 710 6 711 681 712 4 713 1668 714 3 715 766 716 2 717 1619 718 7 719 682 720 7 721 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29664 0 29665 11 29666 0 29667 0 29668 0 29669 11 29670 0 29671 4 29672 0 29673 13 29674 0 29675 0 29676 0 29677 9 29678 0 29679 0 29680 0 29681 15 29682 0 29683 1 29684 0 29685 12 29686 0 29687 4 29688 0 29689 11 29690 0 29691 2 29692 0 29693 14 29694 0 29695 1 29696 0 29697 10 29698 0 29699 1 29700 0 29701 9 29702 0 29703 1 29704 0 29705 14 29706 0 29707 0 29708 0 29709 8 29710 0 29711 0 29712 0 29713 11 29714 0 29715 2 29716 0 29717 8 29718 0 29719 1 29720 0 29721 16 29722 0 29723 2 29724 0 29725 9 29726 0 29727 0 29728 0 29729 7 29730 0 29731 0 29732 0 29733 9 29734 0 29735 1 29736 0 29737 14 29738 0 29739 0 29740 0 29741 9 29742 0 29743 2 29744 0 29745 15 29746 0 29747 1 29748 0 29749 7 29750 0 29751 0 29752 0 29753 11 29754 0 29755 0 29756 0 29757 12 29758 0 29759 3 29760 0 29761 10 29762 0 29763 1 29764 0 29765 11 29766 0 29767 1 29768 0 29769 10 29770 0 29771 2 29772 0 29773 13 29774 0 29775 0 29776 0 29777 14 29778 0 29779 0 29780 0 29781 10 29782 0 29783 0 29784 0 29785 13 29786 0 29787 1 29788 0 29789 10 29790 0 29791 1 29792 0 29793 7 29794 0 29795 2 29796 0 29797 12 29798 0 29799 1 29800 0 29801 12 29802 0 29803 0 29804 0 29805 9 29806 0 29807 1 29808 0 29809 6 29810 0 29811 0 29812 0 29813 10 29814 0 29815 0 29816 0 29817 7 29818 0 29819 2 29820 0 29821 10 29822 0 29823 1 29824 0 29825 15 29826 0 29827 1 29828 0 29829 8 29830 0 29831 1 29832 0 29833 18 29834 0 29835 1 29836 0 29837 12 29838 0 29839 0 29840 0 29841 17 29842 0 29843 2 29844 0 29845 16 29846 0 29847 2 29848 0 29849 16 29850 0 29851 1 29852 0 29853 14 29854 0 29855 1 29856 0 29857 9 29858 0 29859 1 29860 0 29861 9 29862 0 29863 0 29864 0 29865 9 29866 0 29867 1 29868 0 29869 8 29870 0 29871 1 29872 0 29873 7 29874 0 29875 0 29876 0 29877 10 29878 0 29879 2 29880 0 29881 11 29882 0 29883 0 29884 0 29885 5 29886 0 29887 0 29888 0 29889 15 29890 0 29891 0 29892 0 29893 7 29894 0 29895 2 29896 0 29897 9 29898 0 29899 1 29900 0 29901 10 29902 0 29903 2 29904 0 29905 9 29906 0 29907 0 29908 0 29909 6 29910 0 29911 1 29912 0 29913 14 29914 0 29915 1 29916 0 29917 11 29918 0 29919 0 29920 0 29921 12 29922 0 29923 0 29924 0 29925 3 29926 0 29927 4 29928 0 29929 13 29930 0 29931 2 29932 0 29933 11 29934 0 29935 1 29936 0 29937 14 29938 0 29939 0 29940 0 29941 9 29942 0 29943 1 29944 0 29945 10 29946 0 29947 0 29948 0 29949 8 29950 0 29951 1 29952 0 29953 11 29954 0 29955 2 29956 0 29957 7 29958 0 29959 3 29960 0 29961 12 29962 0 29963 1 29964 0 29965 3 29966 0 29967 0 29968 0 29969 11 29970 0 29971 0 29972 0 29973 3 29974 0 29975 1 29976 0 29977 9 29978 0 29979 1 29980 0 29981 9 29982 0 29983 0 29984 0 29985 10 29986 0 29987 0 29988 0 29989 8 29990 0 29991 0 29992 0 29993 14 29994 0 29995 0 29996 0 29997 9 29998 0 29999 2 30000 0 51: Average symbolic conclusion length is 26717734217/4101770 ≈ 6513.71. (Median: 2753) There are 8465 minimal D-proofs with conclusions of even symbolic length, and there are 4093305 minimal D-proofs with conclusions of odd symbolic length. [8465/4101770 ≈ 0.21% even] 1 0 2 0 3 0 4 0 5 0 6 1 7 0 8 0 9 0 10 0 11 1 12 0 13 0 14 0 15 2 16 0 17 0 18 0 19 1 20 0 21 0 22 0 23 6 24 1 25 0 26 1 27 0 28 0 29 4 30 1 31 2 32 3 33 5 34 0 35 6 36 2 37 1 38 1 39 3 40 1 41 3 42 0 43 8 44 0 45 22 46 1 47 13 48 2 49 32 50 9 51 38 52 2 53 22 54 6 55 17 56 1 57 19 58 4 59 13 60 4 61 29 62 2 63 23 64 2 65 26 66 9 67 19 68 1 69 32 70 11 71 39 72 2 73 49 74 9 75 51 76 13 77 54 78 0 79 59 80 7 81 57 82 4 83 55 84 3 85 71 86 11 87 69 88 4 89 102 90 2 91 91 92 9 93 71 94 3 95 104 96 6 97 102 98 19 99 112 100 5 101 121 102 1 103 72 104 9 105 158 106 7 107 141 108 6 109 162 110 13 111 147 112 4 113 166 114 6 115 155 116 1 117 168 118 6 119 133 120 13 121 194 122 9 123 150 124 5 125 168 126 6 127 172 128 5 129 209 130 3 131 213 132 1 133 245 134 5 135 212 136 8 137 282 138 4 139 240 140 5 141 308 142 16 143 269 144 5 145 334 146 2 147 266 148 3 149 324 150 6 151 265 152 7 153 335 154 4 155 284 156 7 157 432 158 9 159 288 160 8 161 378 162 6 163 322 164 4 165 412 166 8 167 357 168 8 169 452 170 8 171 342 172 5 173 450 174 1 175 405 176 3 177 512 178 4 179 351 180 4 181 550 182 8 183 424 184 4 185 556 186 6 187 404 188 7 189 592 190 2 191 382 192 6 193 542 194 5 195 445 196 4 197 654 198 9 199 497 200 6 201 624 202 4 203 490 204 11 205 622 206 11 207 498 208 1 209 689 210 2 211 479 212 5 213 690 214 1 215 475 216 5 217 668 218 3 219 504 220 7 221 819 222 8 223 540 224 11 225 838 226 10 227 562 228 12 229 770 230 11 231 581 232 7 233 921 234 15 235 558 236 12 237 892 238 12 239 599 240 10 241 959 242 6 243 592 244 9 245 954 246 9 247 560 248 3 249 915 250 10 251 601 252 8 253 1010 254 16 255 628 256 9 257 1030 258 12 259 687 260 7 261 1078 262 6 263 726 264 9 265 1148 266 11 267 702 268 6 269 1158 270 12 271 744 272 8 273 1160 274 11 275 769 276 9 277 1083 278 15 279 746 280 6 281 1238 282 4 283 768 284 10 285 1239 286 6 287 742 288 7 289 1305 290 9 291 763 292 8 293 1285 294 14 295 829 296 5 297 1386 298 9 299 782 300 5 301 1325 302 5 303 848 304 9 305 1315 306 3 307 745 308 16 309 1378 310 11 311 783 312 5 313 1354 314 8 315 797 316 8 317 1335 318 15 319 841 320 11 321 1466 322 7 323 860 324 14 325 1492 326 8 327 809 328 9 329 1511 330 6 331 922 332 12 333 1477 334 11 335 882 336 7 337 1574 338 14 339 854 340 5 341 1611 342 9 343 846 344 12 345 1567 346 10 347 908 348 9 349 1572 350 6 351 823 352 7 353 1561 354 9 355 935 356 12 357 1629 358 6 359 898 360 4 361 1638 362 19 363 949 364 11 365 1681 366 8 367 870 368 8 369 1748 370 7 371 958 372 5 373 1670 374 8 375 947 376 9 377 1698 378 9 379 954 380 6 381 1804 382 8 383 1097 384 15 385 1774 386 7 387 959 388 12 389 1806 390 7 391 999 392 7 393 1807 394 7 395 995 396 12 397 1813 398 8 399 960 400 9 401 1834 402 13 403 1021 404 9 405 1914 406 9 407 1031 408 11 409 1848 410 14 411 1039 412 19 413 1871 414 23 415 1028 416 13 417 1950 418 20 419 967 420 9 421 1877 422 5 423 1143 424 13 425 1954 426 9 427 1067 428 5 429 2022 430 11 431 1093 432 6 433 2048 434 7 435 1155 436 13 437 1983 438 11 439 1012 440 11 441 2150 442 9 443 1141 444 9 445 1990 446 9 447 1126 448 12 449 2090 450 12 451 1120 452 15 453 2062 454 12 455 1120 456 10 457 2124 458 17 459 1102 460 9 461 2128 462 11 463 1174 464 11 465 2092 466 15 467 1135 468 9 469 2178 470 13 471 1067 472 16 473 2159 474 11 475 1177 476 6 477 2197 478 10 479 1076 480 9 481 2208 482 18 483 1131 484 11 485 2149 486 7 487 1139 488 12 489 2307 490 9 491 1136 492 8 493 2271 494 7 495 1102 496 7 497 2273 498 7 499 1141 500 9 501 2233 502 13 503 1151 504 13 505 2295 506 10 507 1221 508 8 509 2240 510 7 511 1178 512 11 513 2281 514 10 515 1174 516 12 517 2273 518 8 519 1212 520 10 521 2283 522 12 523 1194 524 10 525 2371 526 10 527 1215 528 11 529 2274 530 9 531 1233 532 15 533 2355 534 9 535 1165 536 18 537 2422 538 7 539 1268 540 13 541 2408 542 9 543 1176 544 13 545 2412 546 8 547 1284 548 12 549 2468 550 12 551 1275 552 9 553 2409 554 10 555 1254 556 9 557 2427 558 8 559 1310 560 10 561 2599 562 10 563 1337 564 11 565 2357 566 14 567 1218 568 6 569 2482 570 10 571 1265 572 3 573 2556 574 10 575 1236 576 13 577 2449 578 14 579 1246 580 10 581 2454 582 8 583 1168 584 7 585 2515 586 9 587 1277 588 11 589 2603 590 7 591 1209 592 7 593 2585 594 6 595 1264 596 11 597 2559 598 9 599 1346 600 8 601 2521 602 12 603 1240 604 14 605 2572 606 11 607 1301 608 12 609 2691 610 9 611 1293 612 8 613 2572 614 6 615 1326 616 10 617 2578 618 13 619 1285 620 9 621 2537 622 11 623 1322 624 5 625 2692 626 8 627 1221 628 12 629 2639 630 9 631 1230 632 10 633 2761 634 8 635 1250 636 7 637 2629 638 5 639 1278 640 7 641 2696 642 4 643 1250 644 18 645 2540 646 6 647 1314 648 8 649 2625 650 9 651 1204 652 14 653 2652 654 6 655 1343 656 10 657 2648 658 10 659 1401 660 10 661 2712 662 7 663 1276 664 13 665 2726 666 6 667 1351 668 10 669 2680 670 10 671 1263 672 5 673 2602 674 10 675 1364 676 14 677 2755 678 8 679 1225 680 13 681 2701 682 10 683 1265 684 7 685 2749 686 4 687 1310 688 12 689 2677 690 17 691 1263 692 17 693 2718 694 7 695 1284 696 9 697 2816 698 9 699 1282 700 9 701 2788 702 11 703 1337 704 10 705 2715 706 10 707 1331 708 8 709 2612 710 7 711 1350 712 7 713 2813 714 8 715 1313 716 10 717 2831 718 5 719 1260 720 6 721 2775 722 10 723 1356 724 4 725 2792 726 14 727 1341 728 8 729 2787 730 5 731 1304 732 9 733 2827 734 7 735 1299 736 12 737 2746 738 10 739 1392 740 11 741 2642 742 9 743 1269 744 2 745 2893 746 8 747 1275 748 8 749 2769 750 16 751 1287 752 9 753 2913 754 12 755 1381 756 9 757 2787 758 12 759 1274 760 11 761 2882 762 12 763 1262 764 14 765 2839 766 8 767 1294 768 6 769 2778 770 9 771 1259 772 12 773 2783 774 8 775 1242 776 13 777 2711 778 9 779 1317 780 8 781 2864 782 16 783 1323 784 9 785 2856 786 13 787 1265 788 17 789 2843 790 11 791 1351 792 5 793 2894 794 8 795 1329 796 12 797 2967 798 11 799 1253 800 6 801 2916 802 7 803 1281 804 13 805 2837 806 8 807 1334 808 5 809 2783 810 14 811 1252 812 12 813 2798 814 7 815 1225 816 8 817 2921 818 7 819 1339 820 11 821 2886 822 8 823 1265 824 12 825 2940 826 6 827 1302 828 8 829 2831 830 15 831 1309 832 10 833 2933 834 5 835 1244 836 11 837 2966 838 9 839 1308 840 10 841 2856 842 4 843 1283 844 13 845 2858 846 13 847 1227 848 12 849 2869 850 8 851 1349 852 7 853 2846 854 6 855 1313 856 11 857 2932 858 6 859 1334 860 12 861 2867 862 12 863 1347 864 14 865 2839 866 5 867 1343 868 9 869 2925 870 12 871 1350 872 6 873 2950 874 10 875 1301 876 9 877 3001 878 6 879 1270 880 9 881 2825 882 7 883 1320 884 8 885 2882 886 7 887 1294 888 12 889 2945 890 12 891 1348 892 4 893 2934 894 6 895 1304 896 4 897 2932 898 14 899 1330 900 8 901 2805 902 12 903 1305 904 6 905 2931 906 11 907 1253 908 7 909 2947 910 9 911 1255 912 6 913 2845 914 9 915 1228 916 13 917 2873 918 7 919 1320 920 7 921 2919 922 8 923 1295 924 7 925 2907 926 7 927 1272 928 11 929 2849 930 10 931 1316 932 16 933 2845 934 9 935 1326 936 8 937 3008 938 4 939 1195 940 10 941 2833 942 10 943 1209 944 7 945 2830 946 5 947 1217 948 9 949 2873 950 12 951 1286 952 10 953 2865 954 6 955 1221 956 5 957 2829 958 10 959 1238 960 7 961 2788 962 10 963 1230 964 6 965 2976 966 6 967 1212 968 10 969 2902 970 11 971 1237 972 10 973 2952 974 11 975 1251 976 4 977 2968 978 5 979 1255 980 5 981 2932 982 11 983 1215 984 4 985 3044 986 4 987 1228 988 7 989 3010 990 6 991 1274 992 7 993 2911 994 3 995 1261 996 7 997 2956 998 4 999 1197 1000 7 1001 2927 1002 11 1003 1181 1004 11 1005 2893 1006 7 1007 1161 1008 11 1009 2829 1010 5 1011 1262 1012 6 1013 2897 1014 5 1015 1278 1016 6 1017 2869 1018 4 1019 1264 1020 6 1021 2875 1022 8 1023 1170 1024 6 1025 2812 1026 7 1027 1206 1028 7 1029 2779 1030 9 1031 1231 1032 4 1033 2934 1034 8 1035 1238 1036 4 1037 2786 1038 10 1039 1287 1040 8 1041 2823 1042 9 1043 1252 1044 3 1045 2873 1046 5 1047 1201 1048 5 1049 2910 1050 2 1051 1231 1052 5 1053 2834 1054 6 1055 1242 1056 2 1057 2983 1058 5 1059 1168 1060 6 1061 2861 1062 2 1063 1160 1064 8 1065 2835 1066 3 1067 1240 1068 12 1069 2826 1070 16 1071 1183 1072 8 1073 2865 1074 4 1075 1196 1076 11 1077 2889 1078 5 1079 1193 1080 10 1081 2847 1082 6 1083 1212 1084 4 1085 2829 1086 14 1087 1183 1088 4 1089 2973 1090 3 1091 1225 1092 8 1093 2877 1094 5 1095 1207 1096 5 1097 2791 1098 3 1099 1192 1100 3 1101 2879 1102 3 1103 1248 1104 9 1105 2823 1106 5 1107 1284 1108 8 1109 2849 1110 2 1111 1216 1112 7 1113 2812 1114 7 1115 1153 1116 9 1117 2893 1118 4 1119 1204 1120 3 1121 2935 1122 8 1123 1180 1124 4 1125 2779 1126 5 1127 1130 1128 4 1129 2949 1130 3 1131 1110 1132 5 1133 2881 1134 6 1135 1114 1136 5 1137 2858 1138 4 1139 1263 1140 16 1141 2878 1142 6 1143 1096 1144 5 1145 2948 1146 9 1147 1165 1148 6 1149 2881 1150 2 1151 1088 1152 2 1153 2821 1154 5 1155 1198 1156 5 1157 2920 1158 5 1159 1129 1160 4 1161 2923 1162 4 1163 1155 1164 7 1165 2818 1166 5 1167 1111 1168 6 1169 2749 1170 6 1171 1152 1172 5 1173 2847 1174 4 1175 1120 1176 5 1177 2916 1178 6 1179 1172 1180 5 1181 2780 1182 5 1183 1068 1184 8 1185 2731 1186 8 1187 1138 1188 14 1189 2681 1190 10 1191 1078 1192 3 1193 2867 1194 4 1195 1195 1196 6 1197 2857 1198 10 1199 1212 1200 5 1201 2825 1202 3 1203 1186 1204 5 1205 2842 1206 4 1207 1044 1208 4 1209 2798 1210 3 1211 1118 1212 5 1213 2921 1214 5 1215 1117 1216 4 1217 2831 1218 10 1219 1110 1220 4 1221 2794 1222 2 1223 1072 1224 3 1225 2954 1226 6 1227 1174 1228 9 1229 2715 1230 11 1231 1072 1232 2 1233 2739 1234 5 1235 1083 1236 3 1237 2738 1238 8 1239 1131 1240 6 1241 2865 1242 5 1243 1123 1244 3 1245 2766 1246 2 1247 1133 1248 4 1249 2650 1250 6 1251 999 1252 3 1253 2689 1254 1 1255 1096 1256 4 1257 2830 1258 2 1259 1107 1260 8 1261 2738 1262 7 1263 1047 1264 7 1265 2767 1266 8 1267 1112 1268 6 1269 2871 1270 5 1271 1113 1272 11 1273 2694 1274 3 1275 1085 1276 9 1277 2820 1278 5 1279 1007 1280 7 1281 2719 1282 7 1283 1076 1284 6 1285 2821 1286 4 1287 1079 1288 4 1289 2712 1290 5 1291 1030 1292 6 1293 2816 1294 3 1295 1060 1296 4 1297 2654 1298 6 1299 1055 1300 1 1301 2710 1302 1 1303 1123 1304 3 1305 2703 1306 5 1307 1097 1308 6 1309 2802 1310 7 1311 999 1312 6 1313 2693 1314 3 1315 1037 1316 7 1317 2789 1318 3 1319 1024 1320 2 1321 2726 1322 5 1323 1100 1324 4 1325 2825 1326 2 1327 1036 1328 4 1329 2655 1330 3 1331 1061 1332 4 1333 2749 1334 8 1335 1071 1336 5 1337 2704 1338 5 1339 1033 1340 6 1341 2707 1342 3 1343 1009 1344 3 1345 2653 1346 12 1347 1050 1348 4 1349 2666 1350 5 1351 1043 1352 7 1353 2685 1354 5 1355 1008 1356 4 1357 2797 1358 4 1359 1015 1360 3 1361 2586 1362 0 1363 1036 1364 4 1365 2655 1366 4 1367 1003 1368 6 1369 2656 1370 6 1371 1086 1372 4 1373 2659 1374 2 1375 1004 1376 6 1377 2741 1378 1 1379 1010 1380 3 1381 2583 1382 4 1383 959 1384 8 1385 2701 1386 5 1387 1060 1388 5 1389 2570 1390 7 1391 989 1392 5 1393 2662 1394 4 1395 1018 1396 4 1397 2617 1398 2 1399 1011 1400 3 1401 2699 1402 5 1403 1075 1404 7 1405 2677 1406 6 1407 920 1408 8 1409 2610 1410 3 1411 954 1412 6 1413 2701 1414 6 1415 991 1416 7 1417 2605 1418 5 1419 988 1420 9 1421 2587 1422 4 1423 965 1424 4 1425 2665 1426 7 1427 1000 1428 7 1429 2763 1430 4 1431 973 1432 3 1433 2707 1434 7 1435 966 1436 4 1437 2703 1438 4 1439 996 1440 6 1441 2576 1442 11 1443 1061 1444 3 1445 2728 1446 6 1447 947 1448 8 1449 2593 1450 6 1451 996 1452 4 1453 2706 1454 7 1455 1013 1456 1 1457 2635 1458 7 1459 952 1460 4 1461 2592 1462 5 1463 952 1464 2 1465 2524 1466 3 1467 1024 1468 13 1469 2677 1470 5 1471 914 1472 4 1473 2566 1474 9 1475 976 1476 1 1477 2605 1478 5 1479 933 1480 6 1481 2631 1482 4 1483 984 1484 4 1485 2677 1486 5 1487 915 1488 5 1489 2512 1490 2 1491 951 1492 4 1493 2603 1494 4 1495 920 1496 2 1497 2674 1498 3 1499 960 1500 4 1501 2519 1502 6 1503 875 1504 7 1505 2560 1506 4 1507 1000 1508 4 1509 2622 1510 8 1511 920 1512 2 1513 2655 1514 6 1515 968 1516 2 1517 2657 1518 0 1519 959 1520 4 1521 2504 1522 2 1523 925 1524 2 1525 2560 1526 4 1527 936 1528 7 1529 2584 1530 3 1531 845 1532 4 1533 2655 1534 1 1535 973 1536 2 1537 2595 1538 4 1539 938 1540 1 1541 2479 1542 1 1543 950 1544 7 1545 2475 1546 4 1547 1000 1548 2 1549 2590 1550 4 1551 899 1552 11 1553 2492 1554 1 1555 924 1556 9 1557 2568 1558 2 1559 946 1560 4 1561 2590 1562 7 1563 875 1564 6 1565 2535 1566 3 1567 887 1568 10 1569 2474 1570 6 1571 932 1572 8 1573 2509 1574 3 1575 934 1576 3 1577 2623 1578 5 1579 1017 1580 3 1581 2495 1582 5 1583 962 1584 3 1585 2468 1586 1 1587 987 1588 4 1589 2481 1590 4 1591 884 1592 3 1593 2575 1594 6 1595 929 1596 4 1597 2447 1598 2 1599 900 1600 7 1601 2514 1602 6 1603 888 1604 7 1605 2470 1606 4 1607 878 1608 3 1609 2428 1610 1 1611 959 1612 7 1613 2526 1614 3 1615 879 1616 5 1617 2475 1618 3 1619 968 1620 6 1621 2427 1622 4 1623 835 1624 4 1625 2512 1626 6 1627 922 1628 3 1629 2517 1630 2 1631 894 1632 8 1633 2482 1634 2 1635 942 1636 5 1637 2477 1638 8 1639 822 1640 5 1641 2484 1642 3 1643 921 1644 2 1645 2435 1646 3 1647 853 1648 3 1649 2410 1650 2 1651 869 1652 5 1653 2395 1654 2 1655 840 1656 2 1657 2460 1658 8 1659 856 1660 3 1661 2446 1662 3 1663 867 1664 1 1665 2463 1666 3 1667 874 1668 5 1669 2406 1670 1 1671 793 1672 4 1673 2483 1674 4 1675 866 1676 5 1677 2422 1678 3 1679 851 1680 1 1681 2411 1682 7 1683 915 1684 2 1685 2375 1686 3 1687 802 1688 5 1689 2420 1690 3 1691 818 1692 4 1693 2344 1694 4 1695 835 1696 8 1697 2454 1698 2 1699 851 1700 8 1701 2453 1702 5 1703 877 1704 4 1705 2346 1706 2 1707 889 1708 5 1709 2342 1710 4 1711 811 1712 5 1713 2389 1714 7 1715 842 1716 2 1717 2363 1718 2 1719 824 1720 3 1721 2431 1722 3 1723 815 1724 7 1725 2429 1726 1 1727 780 1728 9 1729 2395 1730 6 1731 841 1732 4 1733 2272 1734 3 1735 825 1736 3 1737 2365 1738 2 1739 847 1740 3 1741 2387 1742 5 1743 819 1744 4 1745 2369 1746 1 1747 836 1748 4 1749 2394 1750 2 1751 842 1752 4 1753 2451 1754 2 1755 871 1756 1 1757 2363 1758 3 1759 847 1760 4 1761 2389 1762 3 1763 813 1764 1 1765 2393 1766 1 1767 866 1768 4 1769 2402 1770 6 1771 839 1772 0 1773 2403 1774 3 1775 781 1776 3 1777 2374 1778 3 1779 825 1780 4 1781 2355 1782 6 1783 790 1784 2 1785 2500 1786 9 1787 860 1788 5 1789 2328 1790 3 1791 754 1792 2 1793 2303 1794 2 1795 777 1796 4 1797 2353 1798 2 1799 762 1800 2 1801 2420 1802 1 1803 832 1804 5 1805 2306 1806 2 1807 759 1808 3 1809 2290 1810 4 1811 722 1812 7 1813 2379 1814 3 1815 768 1816 0 1817 2355 1818 3 1819 834 1820 4 1821 2267 1822 1 1823 753 1824 2 1825 2274 1826 2 1827 836 1828 5 1829 2340 1830 5 1831 805 1832 2 1833 2319 1834 3 1835 756 1836 4 1837 2256 1838 3 1839 783 1840 4 1841 2196 1842 2 1843 784 1844 5 1845 2287 1846 4 1847 807 1848 3 1849 2292 1850 0 1851 814 1852 4 1853 2226 1854 4 1855 782 1856 4 1857 2244 1858 3 1859 804 1860 4 1861 2250 1862 3 1863 804 1864 3 1865 2228 1866 5 1867 725 1868 2 1869 2247 1870 4 1871 758 1872 2 1873 2269 1874 7 1875 783 1876 1 1877 2199 1878 2 1879 760 1880 5 1881 2257 1882 1 1883 801 1884 3 1885 2280 1886 3 1887 794 1888 2 1889 2341 1890 3 1891 751 1892 2 1893 2261 1894 5 1895 783 1896 3 1897 2252 1898 1 1899 765 1900 3 1901 2288 1902 4 1903 768 1904 2 1905 2210 1906 2 1907 740 1908 4 1909 2269 1910 2 1911 705 1912 3 1913 2299 1914 2 1915 811 1916 5 1917 2249 1918 1 1919 831 1920 3 1921 2227 1922 3 1923 779 1924 2 1925 2198 1926 2 1927 699 1928 3 1929 2161 1930 1 1931 727 1932 3 1933 2150 1934 3 1935 737 1936 1 1937 2197 1938 1 1939 763 1940 1 1941 2114 1942 4 1943 729 1944 0 1945 2274 1946 1 1947 745 1948 3 1949 2194 1950 2 1951 751 1952 0 1953 2143 1954 4 1955 778 1956 2 1957 2154 1958 3 1959 760 1960 5 1961 2263 1962 6 1963 762 1964 3 1965 2106 1966 5 1967 794 1968 2 1969 2137 1970 2 1971 737 1972 3 1973 2035 1974 4 1975 704 1976 2 1977 2223 1978 4 1979 745 1980 2 1981 2159 1982 0 1983 738 1984 1 1985 2163 1986 0 1987 738 1988 2 1989 2171 1990 4 1991 709 1992 6 1993 2211 1994 2 1995 728 1996 0 1997 2120 1998 4 1999 669 2000 1 2001 2291 2002 4 2003 721 2004 1 2005 2159 2006 2 2007 769 2008 1 2009 2175 2010 1 2011 752 2012 3 2013 2252 2014 6 2015 682 2016 1 2017 2043 2018 5 2019 730 2020 3 2021 2008 2022 2 2023 695 2024 1 2025 2164 2026 1 2027 697 2028 4 2029 2081 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