Demonstrate Byte Pair Encoding for Hindi
This project implements Byte Pair Encoding (BPE) from scratch for Hindi text data, demonstrating how tokenization algorithms work at a fundamental level.
Byte Pair Encoding is a data compression technique that iteratively merges the most frequent pairs of bytes (or tokens) in a text corpus. It's widely used in modern NLP systems like GPT, BERT, and other transformer models for tokenization.
- Source: Hindi Wikipedia dataset (
zicsx/Wikipedia-Hindi) - Sample Size: 1000 articles from the training set
- Text Processing: Applied Devanagari-specific regex pattern to extract Hindi words
- Original Text Length: 7,199,749 characters (before regex)
- Processed Text Length: 7,017,580 characters (after regex filtering)
- Number of Devanagari Words: 248,156 words
- Load the Hindi Wikipedia dataset using Hugging Face
datasetslibrary - Extract the first 1000 articles from the training set
- Apply Devanagari regex pattern to filter and extract Hindi words:
devanagari_word = re.compile( r'(?:[\u0904-\u0939\u0958-\u0961\u0966-\u096F]' r'(?:[\u093C\u094D]?[\u0904-\u0939\u0958-\u0961])*' r'[\u0900-\u0903\u093A-\u094F\u0951-\u0957\u0962-\u0963]*' r')+' )
- Extract all unique characters from the text
- Initial vocabulary size: 129 unique characters
- Create character-to-integer mappings (stoi) and integer-to-character mappings (itos)
- Encode text into integer sequences
- Convert text to UTF-8 bytes
- Original UTF-8 token length: 18,364,890 bytes
- This represents the raw byte representation of the Hindi text
The BPE algorithm works as follows:
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Initialize: Start with 256 base tokens (all possible byte values 0-255)
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Iterative Merging Process:
- Count all consecutive byte pairs in the corpus
- Find the most frequent pair
- Merge this pair into a new token
- Replace all occurrences of this pair with the new token
- Repeat until desired vocabulary size is reached
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Key Functions:
get_stats(ids): Counts frequency of all consecutive pairsmerge(ids, pair, idx): Replaces all occurrences of a pair with a new token ID
- Target Vocabulary Size: 5,000 tokens
- Number of Merges: 4,744 (5,000 - 256 base tokens)
- Each merge operation creates a new token by combining two existing tokens
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Encoding: Convert text string → list of token IDs
- Start with UTF-8 byte encoding
- Apply merges in order of creation (greedy matching)
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Decoding: Convert list of token IDs → text string
- Build vocabulary dictionary mapping token IDs to byte sequences
- Concatenate byte sequences and decode to UTF-8 text
- Verified round-trip encoding/decoding preserves original text
- Final Vocabulary Size: 5,000 tokens
- Number of Merges: 4,744 merges
- Original Token Length: 18,364,890 bytes (UTF-8 encoded)
- Compressed Token Length: 1,955,364 tokens
- Compression Ratio: 9.39X
The BPE algorithm achieved a 9.39X compression ratio, meaning:
- The original text required 18.36 million bytes when encoded as UTF-8
- After BPE tokenization, the same text is represented using only 1.96 million tokens
- This represents a significant reduction in the number of tokens needed to represent the text
The algorithm learned meaningful patterns, starting with:
- Most frequent pair:
(224, 164)- common Devanagari character byte sequence - Subsequent merges built upon previous ones, creating multi-byte tokens
- Later merges combined previously merged tokens, creating even longer sequences
- Successfully encoded and decoded sample text
- Round-trip encoding/decoding verified:
decode(encode(text)) == text✓
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Language-Specific Patterns: The algorithm naturally learned Devanagari-specific byte patterns, with the most frequent pairs corresponding to common Hindi character sequences.
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Hierarchical Merging: Later merges combine previously merged tokens, creating a hierarchical structure that captures common word patterns and subwords.
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Compression Efficiency: The 9.39X compression ratio demonstrates that BPE effectively identifies and reuses common patterns in the Hindi text corpus.
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Scalability: The algorithm can be applied to any text corpus, with the vocabulary size being a hyperparameter that can be tuned based on the corpus size and desired compression.
BytePairEncoding.ipynb: Main notebook containing the complete implementationREADME.md: This documentation file
torch: PyTorch for tensor operationsdatasets: Hugging Face datasets librarynumpy: Numerical operationspandas: Data manipulationtiktoken: Tokenization utilities (for reference)re: Regular expressions for text processing
To run the BPE implementation:
- Open
BytePairEncoding.ipynbin Jupyter Notebook or Google Colab - Execute cells sequentially
- The notebook will:
- Load and preprocess the Hindi Wikipedia dataset
- Build the BPE vocabulary
- Demonstrate encoding and decoding
- Display compression statistics
- Original BPE paper: Gage, P. (1994). A new algorithm for data compression. The C Users Journal, 12(2), 23-38.
- Modern BPE usage in NLP: Sennrich, R., Haddow, B., & Birch, A. (2016). Neural machine translation of rare words with subword units. ACL 2016.
Training Log
merging (224, 164) into a new token 256 merging (32, 256) into a new token 257 merging (224, 165) into a new token 258 merging (256, 190) into a new token 259 merging (258, 141) into a new token 260 merging (260, 256) into a new token 261 merging (259, 256) into a new token 262 merging (258, 135) into a new token 263 merging (256, 191) into a new token 264 merging (257, 149) into a new token 265 merging (264, 256) into a new token 266 merging (258, 128) into a new token 267 merging (256, 176) into a new token 268 merging (256, 130) into a new token 269 merging (263, 257) into a new token 270 merging (259, 257) into a new token 271 merging (258, 139) into a new token 272 merging (256, 168) into a new token 273 merging (267, 257) into a new token 274 merging (256, 164) into a new token 275 merging (256, 149) into a new token 276 merging (269, 257) into a new token 277 merging (258, 129) into a new token 278 merging (261, 176) into a new token 279 merging (258, 136) into a new token 280 merging (256, 184) into a new token 281 merging (268, 257) into a new token 282 merging (256, 178) into a new token 283 merging (256, 185) into a new token 284 merging (185, 280) into a new token 285 merging (257, 184) into a new token 286 merging (256, 174) into a new token 287 merging (257, 174) into a new token 288 merging (262, 176) into a new token 289 merging (265, 270) into a new token 290 merging (263, 277) into a new token 291 merging (261, 175) into a new token 292 merging (256, 151) into a new token 293 merging (256, 166) into a new token 294 merging (258, 130) into a new token 295 merging (256, 181) into a new token 296 merging (257, 170) into a new token 297 merging (262, 168) into a new token 298 merging (256, 170) into a new token 299 merging (256, 175) into a new token 300 merging (32, 258) into a new token 301 merging (268, 261) into a new token 302 merging (266, 175) into a new token 303 merging (285, 257) into a new token 304 merging (266, 149) into a new token 305 merging (265, 274) into a new token 306 merging (288, 291) into a new token 307 merging (263, 256) into a new token 308 merging (261, 164) into a new token 309 merging (278, 256) into a new token 310 merging (148, 282) into a new token 311 merging (256, 188) into a new token 312 merging (269, 256) into a new token 313 merging (265, 271) into a new token 314 merging (266, 164) into a new token 315 merging (257, 181) into a new token 316 merging (262, 178) into a new token 317 merging (261, 181) into a new token 318 merging (265, 272) into a new token 319 merging (257, 185) into a new token 320 merging (262, 164) into a new token 321 merging (257, 168) into a new token 322 merging (272, 269) into a new token 323 merging (256, 172) into a new token 324 merging (257, 133) into a new token 325 merging (257, 176) into a new token 326 merging (257, 166) into a new token 327 merging (257, 172) into a new token 328 merging (257, 156) into a new token 329 merging (174, 291) into a new token 330 merging (272, 277) into a new token 331 merging (258, 166) into a new token 332 merging (170, 279) into a new token 333 merging (135, 281) into a new token 334 merging (262, 174) into a new token 335 merging (266, 178) into a new token 336 merging (256, 163) into a new token 337 merging (301, 167) into a new token 338 merging (256, 167) into a new token 339 merging (256, 156) into a new token 340 merging (257, 173) into a new token 341 merging (256, 159) into a new token 342 merging (285, 277) into a new token 343 merging (262, 156) into a new token 344 merging (262, 184) into a new token 345 merging (261, 159) into a new token 346 merging (261, 183) into a new token 347 merging (256, 161) into a new token 348 merging (303, 271) into a new token 349 merging (143, 276) into a new token 350 merging (297, 279) into a new token 351 merging (256, 154) into a new token 352 merging (261, 165) into a new token 353 merging (256, 182) into a new token 354 merging (266, 168) into a new token 355 merging (262, 130) into a new token 356 merging (271, 304) into a new token 357 merging (286, 270) into a new token 358 merging (262, 166) into a new token 359 merging (262, 175) into a new token 360 merging (338, 258) into a new token 361 merging (273, 261) into a new token 362 merging (175, 284) into a new token 363 merging (257, 151) into a new token 364 merging (266, 184) into a new token 365 merging (257, 311) into a new token 366 merging (266, 176) into a new token 367 merging (257, 304) into a new token 368 merging (257, 164) into a new token 369 merging (258, 131) into a new token 370 merging (265, 268) into a new token 371 merging (261, 174) into a new token 372 merging (273, 270) into a new token 373 merging (257, 182) into a new token 374 merging (308, 182) into a new token 375 merging (256, 173) into a new token 376 merging (257, 137) into a new token 377 merging (165, 271) into a new token 378 merging (257, 134) into a new token 379 merging (267, 300) into a new token 380 merging (257, 178) into a new token 381 merging (275, 279) into a new token 382 merging (263, 265) into a new token 383 merging (258, 140) into a new token 384 merging (274, 184) into a new token 385 merging (269, 293) into a new token 386 merging (262, 181) into a new token 387 merging (348, 312) into a new token 388 merging (266, 182) into a new token 389 merging (278, 268) into a new token 390 merging (272, 293) into a new token 391 merging (275, 270) into a new token 392 merging (259, 265) into a new token 393 merging (262, 183) into a new token 394 merging (266, 143) into a new token 395 merging (271, 184) into a new token 396 merging (256, 136) into a new token 397 merging (289, 275) into a new token 398 merging (175, 258) into a new token 399 merging (290, 178) into a new token 400 merging (290, 184) into a new token 401 merging (262, 170) into a new token 402 merging (301, 168) into a new token 403 merging (261, 149) into a new token 404 merging (263, 269) into a new token 405 merging (276, 347) into a new token 406 merging (267, 265) into a new token 407 merging (320, 272) into a new token 408 merging (262, 185) into a new token 409 merging (261, 178) into a new token 410 merging (271, 156) into a new token 411 merging (261, 167) into a new token 412 merging (262, 129) into a new token 413 merging (267, 273) into a new token 414 merging (261, 166) into a new token 415 merging (266, 181) into a new token 416 merging (281, 270) into a new token 417 merging (266, 166) into a new token 418 merging (275, 271) into a new token 419 merging (295, 299) into a new token 420 merging (276, 270) into a new token 421 merging (257, 175) into a new token 422 merging (266, 174) into a new token 423 merging (273, 263) into a new token 424 merging (266, 130) into a new token 425 merging (262, 151) into a new token 426 merging (273, 271) into a new token 427 merging (265, 349) into a new token 428 merging (258, 137) into a new token 429 merging (263, 283) into a new token 430 merging (184, 270) into a new token 431 merging (269, 294) into a new token 432 merging (400, 395) into a new token 433 merging (261, 170) into a new token 434 merging (257, 154) into a new token 435 merging (262, 149) into a new token 436 merging (261, 184) into a new token 437 merging (295, 302) into a new token 438 merging (267, 277) into a new token 439 merging (262, 136) into a new token 440 merging (151, 300) into a new token 441 merging (275, 274) into a new token 442 merging (331, 330) into a new token 443 merging (361, 399) into a new token 444 merging (133, 273) into a new token 445 merging (262, 165) into a new token 446 merging (370, 275) into a new token 447 merging (256, 183) into a new token 448 merging (257, 343) into a new token 449 merging (297, 282) into a new token 450 merging (275, 357) into a new token 451 merging (286, 287) into a new token 452 merging (256, 171) into a new token 453 merging (257, 350) into a new token 454 merging (275, 309) into a new token 455 merging (276, 289) into a new token 456 merging (290, 172) into a new token 457 merging (263, 296) into a new token 458 merging (276, 309) into a new token 459 merging (256, 165) into a new token 460 merging (257, 143) into a new token 461 merging (313, 161) into a new token 462 merging (310, 150) into a new token 463 merging (170, 282) into a new token 464 merging (176, 344) into a new token 465 merging (257, 135) into a new token 466 merging (257, 285) into a new token 467 merging (278, 283) into a new token 468 merging (346, 279) into a new token 469 merging (295, 268) into a new token 470 merging (256, 150) into a new token 471 merging (262, 172) into a new token 472 merging (332, 332) into a new token 473 merging (261, 154) into a new token 474 merging (263, 382) into a new token 475 merging (272, 283) into a new token 476 merging (392, 343) into a new token 477 merging (262, 163) into a new token 478 merging (278, 281) into a new token 479 merging (262, 147) into a new token 480 merging (156, 272) into a new token 481 merging (269, 281) into a new token 482 merging (274, 174) into a new token 483 merging (306, 184) into a new token 484 merging (173, 398) into a new token 485 merging (322, 270) into a new token 486 merging (170, 268) into a new token 487 merging (278, 273) into a new token 488 merging (257, 334) into a new token 489 merging (267, 275) into a new token 490 merging (326, 344) into a new token 491 merging (310, 134) into a new token 492 merging (302, 174) into a new token 493 merging (318, 289) into a new token 494 merging (347, 475) into a new token 495 merging (308, 150) into a new token 496 merging (256, 378) into a new token 497 merging (173, 274) into a new token 498 merging (297, 268) into a new token 499 merging (263, 276) into a new token 500 merging (266, 156) into a new token 501 merging (278, 294) into a new token 502 merging (259, 290) into a new token 503 merging (133, 299) into a new token 504 merging (362, 166) into a new token 505 merging (362, 185) into a new token 506 merging (257, 171) into a new token 507 merging (258, 167) into a new token 508 merging (262, 135) into a new token 509 merging (256, 143) into a new token 510 merging (261, 168) into a new token 511 merging (339, 305) into a new token 512 merging (257, 165) into a new token 513 merging (265, 264) into a new token 514 merging (185, 272) into a new token 515 merging (271, 174) into a new token 516 merging (261, 158) into a new token 517 merging (257, 363) into a new token 518 merging (302, 183) into a new token 519 merging (394, 469) into a new token 520 merging (341, 274) into a new token 521 merging (323, 290) into a new token 522 merging (353, 298) into a new token 523 merging (168, 270) into a new token 524 merging (284, 283) into a new token 525 merging (266, 183) into a new token 526 merging (323, 319) into a new token 527 merging (308, 156) into a new token 528 merging (267, 290) into a new token 529 merging (268, 337) into a new token 530 merging (269, 275) into a new token 531 merging (308, 159) into a new token 532 merging (156, 365) into a new token 533 merging (353, 315) into a new token 534 merging (261, 161) into a new token 535 merging (341, 398) into a new token 536 merging (278, 275) into a new token 537 merging (284, 439) into a new token 538 merging (274, 181) into a new token 539 merging (262, 143) into a new token 540 merging (288, 284) into a new token 541 merging (268, 265) into a new token 542 merging (267, 276) into a new token 543 merging (161, 312) into a new token 544 merging (411, 321) into a new token 545 merging (257, 150) into a new token 546 merging (323, 314) into a new token 547 merging (257, 167) into a new token 548 merging (256, 160) into a new token 549 merging (267, 296) into a new token 550 merging (275, 264) into a new token 551 merging (258, 171) into a new token 552 merging (263, 268) into a new token 553 merging (438, 181) into a new token 554 merging (302, 165) into a new token 555 merging (266, 185) into a new token 556 merging (271, 285) into a new token 557 merging (288, 405) into a new token 558 merging (317, 300) into a new token 559 merging (281, 309) into a new token 560 merging (176, 284) into a new token 561 merging (274, 156) into a new token 562 merging (307, 184) into a new token 563 merging (389, 318) into a new token 564 merging (262, 167) into a new token 565 merging (256, 162) into a new token 566 merging (289, 337) into a new token 567 merging (176, 420) into a new token 568 merging (401, 446) into a new token 569 merging (324, 417) into a new token 570 merging (137, 273) into a new token 571 merging (274, 172) into a new token 572 merging (263, 273) into a new token 573 merging (287, 298) into a new token 574 merging (271, 168) into a new token 575 merging (270, 184) into a new token 576 merging (265, 282) into a new token 577 merging (258, 168) into a new token 578 merging (261, 172) into a new token 579 merging (339, 292) into a new token 580 merging (274, 170) into a new token 581 merging (287, 291) into a new token 582 merging (181, 317) into a new token 583 merging (262, 159) into a new token 584 merging (313, 172) into a new token 585 merging (259, 306) into a new token 586 merging (296, 277) into a new token 587 merging (302, 181) into a new token 588 merging (274, 166) into a new token 589 merging (284, 268) into a new token 590 merging (301, 169) into a new token 591 merging (269, 276) into a new token 592 merging (267, 283) into a new token 593 merging (259, 314) into a new token 594 merging (256, 129) into a new token 595 merging (517, 298) into a new token 596 merging (262, 154) into a new token 597 merging (274, 330) into a new token 598 merging (267, 299) into a new token 599 merging (566, 312) into a new token 600 merging (262, 182) into a new token 601 merging (274, 304) into a new token 602 merging (272, 340) into a new token 603 merging (258, 173) into a new token 604 merging (137, 281) into a new token 605 merging (271, 330) into a new token 606 merging (326, 420) into a new token 607 merging (137, 299) into a new token 608 merging (441, 271) into a new token 609 merging (266, 163) into a new token 610 merging (274, 168) into a new token 611 merging (257, 159) into a new token 612 merging (282, 184) into a new token 613 merging (266, 159) into a new token 614 merging (266, 150) into a new token 615 merging (266, 170) into a new token 616 merging (302, 164) into a new token 617 merging (271, 166) into a new token 618 merging (369, 276) into a new token 619 merging (265, 495) into a new token 620 merging (257, 161) into a new token 621 merging (323, 306) into a new token 622 merging (263, 294) into a new token 623 merging (185, 310) into a new token 624 merging (295, 283) into a new token 625 merging (313, 159) into a new token 626 merging (258, 172) into a new token 627 merging (133, 512) into a new token 628 merging (258, 170) into a new token 629 merging (266, 173) into a new token 630 merging (370, 448) into a new token 631 merging (271, 170) into a new token 632 merging (258, 174) into a new token 633 merging (266, 167) into a new token 634 merging (325, 299) into a new token 635 merging (290, 166) into a new token 636 merging (310, 155) into a new token 637 merging (271, 181) into a new token 638 merging (313, 167) into a new token 639 merging (269, 299) into a new token 640 merging (271, 172) into a new token 641 merging (300, 391) into a new token 642 merging (258, 169) into a new token 643 merging (480, 269) into a new token 644 merging (278, 287) into a new token 645 merging (263, 281) into a new token 646 merging (325, 273) into a new token 647 merging (326, 284) into a new token 648 merging (272, 276) into a new token 649 merging (432, 367) into a new token 650 merging (355, 415) into a new token 651 merging (267, 287) into a new token 652 merging (265, 383) into a new token 653 merging (274, 173) into a new token 654 merging (272, 299) into a new token 655 merging (313, 156) into a new token 656 merging (269, 382) into a new token 657 merging (178, 293) into a new token 658 merging (156, 321) into a new token 659 merging (442, 304) into a new token 660 merging (274, 311) into a new token 661 merging (425, 293) into a new token 662 merging (308, 183) into a new token 663 merging (313, 150) into a new token 664 merging (328, 273) into a new token 665 merging (174, 284) into a new token 666 merging (301, 171) into a new token 667 merging (274, 164) into a new token 668 merging (278, 276) into a new token 669 merging (257, 136) into a new token 670 merging (278, 282) into a new token 671 merging (275, 292) into a new token 672 merging (314, 184) into a new token 673 merging (272, 342) into a new token 674 merging (294, 375) into a new token 675 merging (272, 273) into a new token 676 merging (313, 154) into a new token 677 merging (463, 292) into a new token 678 merging (403, 473) into a new token 679 merging (168, 335) into a new token 680 merging (259, 319) into a new token 681 merging (271, 311) into a new token 682 merging (279, 287) into a new token 683 merging (289, 292) into a new token 684 merging (418, 412) into a new token 685 merging (295, 281) into a new token 686 merging (298, 270) into a new token 687 merging (418, 292) into a new token 688 merging (267, 268) into a new token 689 merging (568, 307) into a new token 690 merging (267, 342) into a new token 691 merging (290, 170) into a new token 692 merging (302, 151) into a new token 693 merging (331, 431) into a new token 694 merging (279, 284) into a new token 695 merging (403, 332) into a new token 696 merging (271, 185) into a new token 697 merging (294, 292) into a new token 698 merging (406, 610) into a new token 699 merging (309, 279) into a new token 700 merging (301, 170) into a new token 701 merging (267, 352) into a new token 702 merging (354, 474) into a new token 703 merging (341, 394) into a new token 704 merging (287, 463) into a new token 705 merging (286, 318) into a new token 706 merging (438, 163) into a new token 707 merging (295, 273) into a new token 708 merging (457, 359) into a new token 709 merging (316, 292) into a new token 710 merging (257, 148) into a new token 711 merging (135, 273) into a new token 712 merging (168, 367) into a new token 713 merging (133, 283) into a new token 714 merging (321, 279) into a new token 715 merging (272, 287) into a new token 716 merging (491, 292) into a new token 717 merging (267, 306) into a new token 718 merging (520, 380) into a new token 719 merging (419, 285) into a new token 720 merging (276, 264) into a new token 721 merging (377, 299) into a new token 722 merging (324, 415) into a new token 723 merging (295, 287) into a new token 724 merging (276, 282) into a new token 725 merging (294, 412) into a new token 726 merging (353, 402) into a new token 727 merging (294, 264) into a new token 728 merging (371, 424) into a new token 729 merging (339, 298) into a new token 730 merging (261, 163) into a new token 731 merging (284, 537) into a new token 732 merging (137, 506) into a new token 733 merging (288, 298) into a new token 734 merging (364, 300) into a new token 735 merging (369, 497) into a new token 736 merging (265, 284) into a new token 737 merging (278, 459) into a new token 738 merging (480, 277) into a new token 739 merging (302, 182) into a new token 740 merging (270, 343) into a new token 741 merging (664, 292) into a new token 742 merging (286, 482) into a new token 743 merging (263, 275) into a new token 744 merging (404, 447) into a new token 745 merging (384, 268) into a new token 746 merging (267, 319) into a new token 747 merging (137, 455) into a new token 748 merging (272, 268) into a new token 749 merging (262, 544) into a new token 750 merging (334, 421) into a new token 751 merging (545, 357) into a new token 752 merging (257, 378) into a new token 753 merging (402, 309) into a new token 754 merging (274, 182) into a new token 755 merging (280, 283) into a new token 756 merging (320, 492) into a new token 757 merging (280, 273) into a new token 758 merging (282, 330) into a new token 759 merging (322, 538) into a new token 760 merging (373, 583) into a new token 761 merging (461, 587) into a new token 762 merging (502, 412) into a new token 763 merging (327, 494) into a new token 764 merging (301, 172) into a new token 765 merging (329, 321) into a new token 766 merging (275, 556) into a new token 767 merging (262, 150) into a new token 768 merging (274, 333) into a new token 769 merging (274, 133) into a new token 770 merging (445, 479) into a new token 771 merging (261, 156) into a new token 772 merging (274, 151) into a new token 773 merging (267, 281) into a new token 774 merging (352, 474) into a new token 775 merging (465, 292) into a new token 776 merging (767, 345) into a new token 777 merging (360, 271) into a new token 778 merging (165, 270) into a new token 779 merging (184, 287) into a new token 780 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merging (365, 309) into a new token 806 merging (290, 181) into a new token 807 merging (278, 296) into a new token 808 merging (290, 174) into a new token 809 merging (301, 174) into a new token 810 merging (301, 166) into a new token 811 merging (172, 388) into a new token 812 merging (361, 174) into a new token 813 merging (302, 156) into a new token 814 merging (286, 263) into a new token 815 merging (290, 333) into a new token 816 merging (290, 133) into a new token 817 merging (268, 456) into a new token 818 merging (305, 286) into a new token 819 merging (262, 171) into a new token 820 merging (292, 295) into a new token 821 merging (294, 298) into a new token 822 merging (274, 134) into a new token 823 merging (504, 373) into a new token 824 merging (271, 333) into a new token 825 merging (356, 275) into a new token 826 merging (280, 281) into a new token 827 merging (329, 273) into a new token 828 merging (558, 265) into a new token 829 merging (164, 497) into a new token 830 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into a new token 2075 merging (444, 168) into a new token 2076 merging (541, 289) into a new token 2077 merging (656, 273) into a new token 2078 merging (257, 160) into a new token 2079 merging (760, 304) into a new token 2080 merging (894, 268) into a new token 2081 merging (360, 273) into a new token 2082 merging (262, 485) into a new token 2083 merging (321, 741) into a new token 2084 merging (308, 544) into a new token 2085 merging (1157, 296) into a new token 2086 merging (300, 345) into a new token 2087 merging (294, 268) into a new token 2088 merging (166, 966) into a new token 2089 merging (428, 304) into a new token 2090 merging (345, 353) into a new token 2091 merging (273, 380) into a new token 2092 merging (316, 623) into a new token 2093 merging (428, 378) into a new token 2094 merging (369, 953) into a new token 2095 merging (443, 181) into a new token 2096 merging (329, 596) into a new token 2097 merging (366, 133) into a new token 2098 merging (331, 184) into a new token 2099 merging (453, 1681) into a new token 2100 merging (436, 282) into a new token 2101 merging (329, 827) into a new token 2102 merging (405, 281) into a new token 2103 merging (151, 386) into a new token 2104 merging (182, 878) into a new token 2105 merging (325, 1689) into a new token 2106 merging (352, 298) into a new token 2107 merging (817, 531) into a new token 2108 merging (411, 272) into a new token 2109 merging (1410, 296) into a new token 2110 merging (280, 342) into a new token 2111 merging (310, 161) into a new token 2112 merging (328, 321) into a new token 2113 merging (452, 1223) into a new token 2114 merging (413, 296) into a new token 2115 merging (808, 634) into a new token 2116 merging (866, 478) into a new token 2117 merging (265, 1563) into a new token 2118 merging (133, 1613) into a new token 2119 merging (292, 275) into a new token 2120 merging (1038, 678) into a new token 2121 merging (280, 268) into a new token 2122 merging (1891, 397) into a new token 2123 merging (358, 170) into a new token 2124 merging (610, 335) into a new token 2125 merging (303, 657) into a new token 2126 merging (296, 289) into a new token 2127 merging (585, 268) into a new token 2128 merging (272, 455) into a new token 2129 merging (271, 950) into a new token 2130 merging (1049, 420) into a new token 2131 merging (611, 538) into a new token 2132 merging (281, 283) into a new token 2133 merging (298, 708) into a new token 2134 merging (289, 891) into a new token 2135 merging (265, 347) into a new token 2136 merging (1121, 281) into a new token 2137 merging (1550, 315) into a new token 2138 merging (936, 695) into a new token 2139 merging (275, 283) into a new token 2140 merging (265, 1113) into a new token 2141 merging (270, 333) into a new token 2142 merging (952, 582) into a new token 2143 merging (965, 276) into a new token 2144 merging (384, 282) into a new token 2145 merging (1176, 1203) into a new token 2146 merging (418, 375) into a new token 2147 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(259, 403) into a new token 2172 merging (303, 694) into a new token 2173 merging (450, 184) into a new token 2174 merging (501, 300) into a new token 2175 merging (386, 490) into a new token 2176 merging (936, 1154) into a new token 2177 merging (321, 357) into a new token 2178 merging (358, 780) into a new token 2179 merging (360, 270) into a new token 2180 merging (423, 511) into a new token 2181 merging (294, 740) into a new token 2182 merging (377, 1001) into a new token 2183 merging (1773, 820) into a new token 2184 merging (268, 719) into a new token 2185 merging (461, 281) into a new token 2186 merging (419, 166) into a new token 2187 merging (499, 416) into a new token 2188 merging (268, 543) into a new token 2189 merging (597, 283) into a new token 2190 merging (171, 756) into a new token 2191 merging (1073, 1257) into a new token 2192 merging (793, 283) into a new token 2193 merging (184, 446) into a new token 2194 merging (359, 922) into a new token 2195 merging (381, 349) into a new token 2196 merging (1264, 837) into a new token 2197 merging (268, 293) into a new token 2198 merging (271, 363) into a new token 2199 merging (328, 1170) into a new token 2200 merging (1108, 268) into a new token 2201 merging (393, 495) into a new token 2202 merging (307, 363) into a new token 2203 merging (636, 1670) into a new token 2204 merging (303, 275) into a new token 2205 merging (354, 279) into a new token 2206 merging (325, 281) into a new token 2207 merging (952, 1037) into a new token 2208 merging (286, 324) into a new token 2209 merging (293, 275) into a new token 2210 merging (279, 646) into a new token 2211 merging (623, 289) into a new token 2212 merging (2091, 292) into a new token 2213 merging (346, 929) into a new token 2214 merging (265, 1482) into a new token 2215 merging (1317, 602) into a new token 2216 merging (1906, 276) into a new token 2217 merging (371, 421) into a new token 2218 merging (523, 380) into a new token 2219 merging (358, 181) into a new token 2220 merging (1319, 510) into a new token 2221 merging (1218, 273) into a new token 2222 merging (270, 176) into a new token 2223 merging (379, 1625) into a new token 2224 merging (281, 1904) into a new token 2225 merging (389, 474) into a new token 2226 merging (1012, 752) into a new token 2227 merging (156, 982) into a new token 2228 merging (1401, 264) into a new token 2229 merging (358, 174) into a new token 2230 merging (751, 985) into a new token 2231 merging (175, 763) into a new token 2232 merging (758, 305) into a new token 2233 merging (271, 609) into a new token 2234 merging (516, 284) into a new token 2235 merging (364, 386) into a new token 2236 merging (328, 1470) into a new token 2237 merging (766, 357) into a new token 2238 merging (1604, 289) into a new token 2239 merging (316, 843) into a new token 2240 merging (466, 283) into a new token 2241 merging (618, 349) into a new token 2242 merging (275, 353) into a new token 2243 merging (450, 987) into a new token 2244 merging (293, 511) into a new token 2245 merging (316, 1382) into a new token 2246 merging (288, 657) into a new token 2247 merging (314, 185) into a new token 2248 merging (288, 593) into a new token 2249 merging (539, 292) into a new token 2250 merging (712, 276) into a new token 2251 merging (270, 164) into a new token 2252 merging (351, 822) into a new token 2253 merging (1163, 337) into a new token 2254 merging (509, 906) into a new token 2255 merging (1481, 2106) into a new token 2256 merging (278, 588) into a new token 2257 merging (259, 569) into a new token 2258 merging (560, 537) into a new token 2259 merging (778, 378) into a new token 2260 merging (364, 490) into a new token 2261 merging (1329, 264) into a new token 2262 merging (867, 524) into a new token 2263 merging (766, 602) into a new token 2264 merging (182, 1120) into a new token 2265 merging (541, 336) into a new token 2266 merging (270, 173) into a new token 2267 merging (514, 288) into a new token 2268 merging (150, 430) into a new token 2269 merging (280, 296) into a new token 2270 merging (181, 928) into a new token 2271 merging (444, 167) into a new token 2272 merging (333, 903) into a new token 2273 merging (486, 184) into a new token 2274 merging (416, 375) into a new token 2275 merging (360, 294) into a new token 2276 merging (267, 354) into a new token 2277 merging (630, 344) into a new token 2278 merging (1375, 1776) into a new token 2279 merging (328, 281) into a new token 2280 merging (443, 172) into a new token 2281 merging (317, 305) into a new token 2282 merging (333, 754) into a new token 2283 merging (428, 1036) into a new token 2284 merging (299, 309) into a new token 2285 merging (329, 355) into a new token 2286 merging (1040, 750) into a new token 2287 merging (268, 1196) into a new token 2288 merging (266, 155) into a new token 2289 merging (265, 820) into a new token 2290 merging (663, 995) into a new token 2291 merging (270, 178) into a new token 2292 merging (751, 1271) into a new token 2293 merging (267, 406) into a new token 2294 merging (992, 1018) into a new token 2295 merging (386, 695) into a new token 2296 merging (265, 468) into a new token 2297 merging (137, 912) into a new token 2298 merging (447, 318) into a new token 2299 merging (327, 283) into a new token 2300 merging (892, 279) into a new token 2301 merging (507, 1342) into a new token 2302 merging (543, 447) into a new token 2303 merging (989, 268) into a new token 2304 merging (156, 827) into a new token 2305 merging (333, 937) into a new token 2306 merging (316, 280) into a new token 2307 merging (712, 421) into a new token 2308 merging (294, 360) into a new token 2309 merging (401, 287) into a new token 2310 merging (282, 185) into a new token 2311 merging (947, 1560) into a new token 2312 merging (279, 1119) into a new token 2313 merging (315, 449) into a new token 2314 merging (334, 1309) into a new token 2315 merging (328, 283) into a new token 2316 merging (276, 530) into a new token 2317 merging (526, 292) into a new token 2318 merging (271, 171) into a new token 2319 merging (383, 264) into a new token 2320 merging (294, 458) into a new token 2321 merging (575, 538) into a new token 2322 merging (341, 407) into a new token 2323 merging (1118, 278) into a new token 2324 merging (319, 288) into a new token 2325 merging (374, 768) into a new token 2326 merging (286, 652) into a new token 2327 merging (305, 289) into a new token 2328 merging (509, 300) into a new token 2329 merging (296, 1669) into a new token 2330 merging (284, 759) into a new token 2331 merging (422, 715) into a new token 2332 merging (324, 410) into a new token 2333 merging (503, 831) into a new token 2334 merging (269, 268) into a new token 2335 merging (286, 1122) into a new token 2336 merging (297, 1662) into a new token 2337 merging (428, 950) into a new token 2338 merging (328, 1367) into a new token 2339 merging (284, 287) into a new token 2340 merging (333, 642) into a new token 2341 merging (407, 383) into a new token 2342 merging (296, 843) into a new token 2343 merging (154, 384) into a new token 2344 merging (579, 1016) into a new token 2345 merging (323, 934) into a new token 2346 merging (170, 345) into a new token 2347 merging (265, 429) into a new token 2348 merging (2062, 1833) into a new token 2349 merging (808, 359) into a new token 2350 merging (351, 730) into a new token 2351 merging (368, 172) into a new token 2352 merging (331, 1057) into a new token 2353 merging (666, 1209) into a new token 2354 merging (281, 772) into a new token 2355 merging (408, 720) into a new token 2356 merging (324, 639) into a new token 2357 merging (575, 294) into a new token 2358 merging (1067, 354) into a new token 2359 merging (545, 954) into a new token 2360 merging (307, 485) into a new token 2361 merging (286, 1247) into a new token 2362 merging (386, 410) into a new token 2363 merging (340, 772) into a new token 2364 merging (2355, 418) into a new token 2365 merging (653, 495) into a new token 2366 merging (510, 281) into a new token 2367 merging (305, 404) into a new token 2368 merging (340, 284) into a new token 2369 merging (384, 342) into a new token 2370 merging (500, 346) into a new token 2371 merging (276, 617) into a new token 2372 merging (866, 1528) into a new token 2373 merging (156, 336) into a new token 2374 merging (634, 264) into a new token 2375 merging (404, 530) into a new token 2376 merging (181, 945) into a new token 2377 merging (499, 1204) into a new token 2378 merging (491, 1181) into a new token 2379 merging (374, 1003) into a new token 2380 merging (286, 640) into a new token 2381 merging (639, 298) into a new token 2382 merging (275, 289) into a new token 2383 merging (744, 2299) into a new token 2384 merging (491, 730) into a new token 2385 merging (316, 688) into a new token 2386 merging (801, 874) into a new token 2387 merging (319, 297) into a new token 2388 merging (1099, 414) into a new token 2389 merging (435, 384) into a new token 2390 merging (1325, 1213) into a new token 2391 merging (270, 182) into a new token 2392 merging (134, 293) into a new token 2393 merging (427, 1650) into a new token 2394 merging (509, 283) into a new token 2395 merging (320, 385) into a new token 2396 merging (283, 434) into a new token 2397 merging (553, 283) into a new token 2398 merging (274, 485) into a new token 2399 merging (303, 298) into a new token 2400 merging (263, 419) into a new token 2401 merging (296, 1086) into a new token 2402 merging (302, 178) into a new token 2403 merging (716, 273) into a new token 2404 merging (557, 514) into a new token 2405 merging (344, 289) into a new token 2406 merging (577, 561) into a new token 2407 merging (305, 272) into a new token 2408 merging (296, 264) into a new token 2409 merging (403, 578) into a new token 2410 merging (306, 175) into a new token 2411 merging (273, 1494) into a new token 2412 merging (2255, 846) into a new token 2413 merging (266, 544) into a new token 2414 merging (265, 324) into a new token 2415 merging (282, 524) into a new token 2416 merging (266, 171) into a new token 2417 merging (1201, 281) into a new token 2418 merging (1937, 278) into a new token 2419 merging (316, 945) into a new token 2420 merging (281, 298) into a new token 2421 merging (303, 268) into a new token 2422 merging (284, 275) into a new token 2423 merging (372, 315) into a new token 2424 merging (560, 279) into a new token 2425 merging (1071, 1811) into a new token 2426 merging (267, 569) into a new token 2427 merging (489, 1309) into a new token 2428 merging (366, 176) into a new token 2429 merging (334, 1029) into a new token 2430 merging (1215, 368) into a new token 2431 merging (345, 275) into a new token 2432 merging (289, 276) into a new token 2433 merging (278, 693) into a new token 2434 merging (371, 660) into a new token 2435 merging (449, 481) into a new token 2436 merging (799, 410) into a new token 2437 merging (267, 1232) into a new token 2438 merging (329, 1523) into a new token 2439 merging (1383, 884) into a new token 2440 merging (168, 294) into a new token 2441 merging (1084, 397) into a new token 2442 merging (371, 761) into a new token 2443 merging (318, 317) into a new token 2444 merging (589, 494) into a new token 2445 merging (389, 1682) into a new token 2446 merging (490, 264) into a new token 2447 merging (276, 1502) into a new token 2448 merging (306, 133) into a new token 2449 merging (327, 1455) into a new token 2450 merging (286, 384) into a new token 2451 merging (162, 312) into a new token 2452 merging (268, 891) into a new token 2453 merging (533, 421) into a new token 2454 merging (316, 1116) into a new token 2455 merging (339, 264) into a new token 2456 merging (320, 1262) into a new token 2457 merging (273, 543) into a new token 2458 merging (666, 298) into a new token 2459 merging (341, 1269) into a new token 2460 merging (1485, 462) into a new token 2461 merging (145, 1643) into a new token 2462 merging (181, 1116) into a new token 2463 merging (374, 756) into a new token 2464 merging (359, 375) into a new token 2465 merging (296, 269) into a new token 2466 merging (278, 462) into a new token 2467 merging (281, 318) into a new token 2468 merging (325, 996) into a new token 2469 merging (366, 182) into a new token 2470 merging (799, 2211) into a new token 2471 merging (673, 570) into a new token 2472 merging (308, 152) into a new token 2473 merging (655, 317) into a new token 2474 merging (322, 1714) into a new token 2475 merging (516, 298) into a new token 2476 merging (268, 420) into a new token 2477 merging (1522, 292) into a new token 2478 merging (167, 1486) into a new token 2479 merging (310, 157) into a new token 2480 merging (290, 176) into a new token 2481 merging (354, 1049) into a new token 2482 merging (706, 1285) into a new token 2483 merging (647, 309) into a new token 2484 merging (737, 477) into a new token 2485 merging (262, 152) into a new token 2486 merging (1368, 305) into a new token 2487 merging (288, 1531) into a new token 2488 merging (267, 1357) into a new token 2489 merging (315, 437) into a new token 2490 merging (564, 1091) into a new token 2491 merging (270, 350) into a new token 2492 merging (287, 260) into a new token 2493 merging (271, 830) into a new token 2494 merging (297, 298) into a new token 2495 merging (268, 344) into a new token 2496 merging (611, 294) into a new token 2497 merging (371, 1171) into a new token 2498 merging (589, 458) into a new token 2499 merging (712, 582) into a new token 2500 merging (274, 465) into a new token 2501 merging (580, 406) into a new token 2502 merging (334, 1899) into a new token 2503 merging (435, 669) into a new token 2504 merging (256, 137) into a new token 2505 merging (2413, 1724) into a new token 2506 merging (491, 1840) into a new token 2507 merging (1058, 295) into a new token 2508 merging (1194, 295) into a new token 2509 merging (426, 275) into a new token 2510 merging (448, 337) into a new token 2511 merging (174, 650) into a new token 2512 merging (296, 893) into a new token 2513 merging (695, 337) into a new token 2514 merging (265, 312) into a new token 2515 merging (710, 1203) into a new token 2516 merging (296, 971) into a new token 2517 merging (259, 484) into a new token 2518 merging (366, 166) into a new token 2519 merging (278, 505) into a new token 2520 merging (482, 523) into a new token 2521 merging (1169, 941) into a new token 2522 merging (379, 1314) into a new token 2523 merging (133, 276) into a new token 2524 merging (265, 460) into a new token 2525 merging (332, 2204) into a new token 2526 merging (297, 1651) into a new token 2527 merging (329, 312) into a new token 2528 merging (327, 615) into a new token 2529 merging (384, 273) into a new token 2530 merging (666, 289) into a new token 2531 merging (293, 318) into a new token 2532 merging (288, 317) into a new token 2533 merging (314, 1272) into a new token 2534 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445) into a new token 2583 merging (667, 332) into a new token 2584 merging (1153, 593) into a new token 2585 merging (576, 2214) into a new token 2586 merging (286, 404) into a new token 2587 merging (135, 283) into a new token 2588 merging (366, 151) into a new token 2589 merging (282, 151) into a new token 2590 merging (1273, 264) into a new token 2591 merging (1027, 346) into a new token 2592 merging (156, 1343) into a new token 2593 merging (483, 298) into a new token 2594 merging (692, 554) into a new token 2595 merging (170, 470) into a new token 2596 merging (270, 334) into a new token 2597 merging (267, 388) into a new token 2598 merging (366, 333) into a new token 2599 merging (267, 453) into a new token 2600 merging (425, 348) into a new token 2601 merging (572, 289) into a new token 2602 merging (279, 616) into a new token 2603 merging (170, 284) into a new token 2604 merging (283, 273) into a new token 2605 merging (416, 281) into a new token 2606 merging (470, 1164) into 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(1743, 292) into a new token 4921 merging (371, 291) into a new token 4922 merging (701, 629) into a new token 4923 merging (284, 2107) into a new token 4924 merging (770, 376) into a new token 4925 merging (638, 284) into a new token 4926 merging (356, 294) into a new token 4927 merging (408, 329) into a new token 4928 merging (1107, 434) into a new token 4929 merging (3090, 336) into a new token 4930 merging (825, 754) into a new token 4931 merging (407, 279) into a new token 4932 merging (2782, 278) into a new token 4933 merging (3824, 783) into a new token 4934 merging (164, 279) into a new token 4935 merging (819, 1074) into a new token 4936 merging (166, 263) into a new token 4937 merging (1405, 449) into a new token 4938 merging (288, 1465) into a new token 4939 merging (563, 1508) into a new token 4940 merging (182, 2056) into a new token 4941 merging (817, 1613) into a new token 4942 merging (1562, 3733) into a new token 4943 merging (156, 300) into a new token 4944 merging (4362, 614) into a new token 4945 merging (509, 296) into a new token 4946 merging (429, 814) into a new token 4947 merging (299, 1139) into a new token 4948 merging (1584, 335) into a new token 4949 merging (1030, 170) into a new token 4950 merging (701, 633) into a new token 4951 merging (176, 430) into a new token 4952 merging (3359, 4118) into a new token 4953 merging (2159, 598) into a new token 4954 merging (282, 666) into a new token 4955 merging (927, 449) into a new token 4956 merging (272, 373) into a new token 4957 merging (316, 2580) into a new token 4958 merging (918, 633) into a new token 4959 merging (838, 477) into a new token 4960 merging (2755, 1741) into a new token 4961 merging (151, 1984) into a new token 4962 merging (341, 387) into a new token 4963 merging (282, 498) into a new token 4964 merging (288, 1174) into a new token 4965 merging (3298, 786) into a new token 4966 merging (307, 155) into a new token 4967 merging (1645, 305) into a new token 4968 merging (2296, 559) into a new token 4969 merging (268, 349) into a new token 4970 merging (360, 357) into a new token 4971 merging (176, 406) into a new token 4972 merging (1599, 626) into a new token 4973 merging (493, 294) into a new token 4974 merging (2074, 380) into a new token 4975 merging (3983, 2760) into a new token 4976 merging (1873, 273) into a new token 4977 merging (288, 270) into a new token 4978 merging (306, 2881) into a new token 4979 merging (325, 275) into a new token 4980 merging (3333, 1073) into a new token 4981 merging (435, 280) into a new token 4982 merging (532, 662) into a new token 4983 merging (533, 270) into a new token 4984 merging (365, 289) into a new token 4985 merging (483, 1951) into a new token 4986 merging (143, 287) into a new token 4987 merging (2179, 1980) into a new token 4988 merging (2832, 554) into a new token 4989 merging (484, 1028) into a new token 4990 merging (667, 627) into a new token 4991 merging (1109, 3925) into a new token 4992 merging (2972, 273) into a new token 4993 merging (1012, 2360) into a new token 4994 merging (1568, 989) into a new token 4995 merging (507, 283) into a new token 4996 merging (279, 843) into a new token 4997 merging (407, 317) into a new token 4998 merging (282, 285) into a new token 4999 tokens length: 18364890 ids length: 1955364 compression ratio: 9.39X