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Acehnese - Wikilangs Models

Comprehensive Research Report & Full Ablation Study

This repository contains NLP models trained and evaluated by Wikilangs, specifically on Acehnese Wikipedia data. We analyze tokenizers, n-gram models, Markov chains, vocabulary statistics, and word embeddings.

📋 Repository Contents

Models & Assets

  • Tokenizers (8k, 16k, 32k, 64k)
  • N-gram models (2, 3, 4, 5-gram)
  • Markov chains (context of 1, 2, 3, 4 and 5)
  • Subword N-gram and Markov chains
  • Embeddings in various sizes and dimensions (aligned and unaligned)
  • Language Vocabulary
  • Language Statistics

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Analysis and Evaluation


1. Tokenizer Evaluation

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Results

Vocab SizeCompressionAvg Token LenUNK RateTotal Tokens
8k4.118x4.130.2676%125,584
16k4.487x4.500.2916%115,243
32k4.726x4.740.3071%109,414
64k4.925x 🏆4.930.3200%104,998

Tokenization Examples

Below are sample sentences tokenized with each vocabulary size:

Sample 1: Jonathan Alberto "John" Leguizamo – ) nakeuh sidroe aktor asay Amirika Syarikat.

VocabTokensCount
8k▁jonathan ▁albert o ▁" john " ▁leg ui zam o ... (+9 more)19
16k▁jonathan ▁albert o ▁" john " ▁leg ui zam o ... (+9 more)19
32k▁jonathan ▁alberto ▁" john " ▁leg uizamo ▁– ▁) ▁nakeuh ... (+6 more)16
64k▁jonathan ▁alberto ▁" john " ▁leguizamo ▁– ▁) ▁nakeuh ▁sidroe ... (+5 more)15

Sample 2: Spencer Breslin nakeuh sidroe aktor asay Amirika Utara.

VocabTokensCount
8k▁sp en cer ▁br es lin ▁nakeuh ▁sidroe ▁aktor ▁asay ... (+3 more)13
16k▁sp en cer ▁br es lin ▁nakeuh ▁sidroe ▁aktor ▁asay ... (+3 more)13
32k▁spencer ▁br es lin ▁nakeuh ▁sidroe ▁aktor ▁asay ▁amirika ▁utara ... (+1 more)11
64k▁spencer ▁breslin ▁nakeuh ▁sidroe ▁aktor ▁asay ▁amirika ▁utara .9

Sample 3: Pasi Mali nakeuh saboh gampông nyang na lam keucamatan Woyla Barat, Kabupaten Ac...

VocabTokensCount
8k▁pasi ▁mali ▁nakeuh ▁saboh ▁gampông ▁nyang ▁na ▁lam ▁keucamatan ▁woyla ... (+11 more)21
16k▁pasi ▁mali ▁nakeuh ▁saboh ▁gampông ▁nyang ▁na ▁lam ▁keucamatan ▁woyla ... (+11 more)21
32k▁pasi ▁mali ▁nakeuh ▁saboh ▁gampông ▁nyang ▁na ▁lam ▁keucamatan ▁woyla ... (+11 more)21
64k▁pasi ▁mali ▁nakeuh ▁saboh ▁gampông ▁nyang ▁na ▁lam ▁keucamatan ▁woyla ... (+11 more)21

Key Findings

  • Best Compression: 64k achieves 4.925x compression
  • Lowest UNK Rate: 8k with 0.2676% unknown tokens
  • Trade-off: Larger vocabularies improve compression but increase model size
  • Recommendation: 32k vocabulary provides optimal balance for production use

2. N-gram Model Evaluation

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Results

N-gramVariantPerplexityEntropyUnique N-gramsTop-100 CoverageTop-1000 Coverage
2-gramWord6409.327,03762.5%83.3%
2-gramSubword224 🏆7.812,20071.8%99.5%
3-gramWord5829.198,34565.3%85.4%
3-gramSubword1,19910.2314,64437.8%84.8%
4-gramWord6789.4112,91364.4%83.6%
4-gramSubword3,57911.8159,56426.1%67.4%
5-gramWord5859.1910,18766.3%85.3%
5-gramSubword6,53012.67114,68321.4%60.4%

Top 5 N-grams by Size

2-grams (Word):

RankN-gramCount
1bak laman7,389
2gunong nyoe7,388
3nyoe bak5,543
4nakeuh saboh5,048
5di acèh4,747

3-grams (Word):

RankN-gramCount
1gunong nyoe bak5,541
2nyoe bak laman3,694
3lumbôi gampông nyoe3,567
4acèh lumbôi gampông3,564
5nyoe lam data3,499

4-grams (Word):

RankN-gramCount
1gunong nyoe bak laman3,694
2acèh lumbôi gampông nyoe3,564
3lam data peumeurèntah nakeuh3,499
4nyoe lam data peumeurèntah3,499
5gampông nyoe lam data3,499

5-grams (Word):

RankN-gramCount
1nyoe lam data peumeurèntah nakeuh3,499
2gampông nyoe lam data peumeurèntah3,499
3lumbôi gampông nyoe lam data3,498
4acèh lumbôi gampông nyoe lam3,495
5lam data peumeurèntah nakeuh nè3,489

2-grams (Subword):

RankN-gramCount
1e u118,044
2_ n79,550
3a n69,741
4h _68,205
5n g67,768

3-grams (Subword):

RankN-gramCount
1n g _44,547
2_ n a31,665
3_ b a30,517
4k e u30,367
5_ n y26,591

4-grams (Subword):

RankN-gramCount
1e u h _23,358
2b a k _23,289
3_ d i _21,170
4k e u h21,124
5a k e u20,698

5-grams (Subword):

RankN-gramCount
1k e u h _21,003
2n a k e u20,623
3a k e u h20,621
4_ n a k e20,596
5_ b a k _18,136

Key Findings

  • Best Perplexity: 2-gram (subword) with 224
  • Entropy Trend: Decreases with larger n-grams (more predictable)
  • Coverage: Top-1000 patterns cover ~60% of corpus
  • Recommendation: 4-gram or 5-gram for best predictive performance

3. Markov Chain Evaluation

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Results

ContextVariantAvg EntropyPerplexityBranching FactorUnique ContextsPredictability
1Word0.75051.6824.3436,35925.0%
1Subword0.86311.8195.381,27013.7%
2Word0.21421.1601.44156,38078.6%
2Subword0.77341.7094.506,82922.7%
3Word0.06531.0461.11222,45093.5%
3Subword0.75781.6913.5530,66024.2%
4Word0.0241 🏆1.0171.04244,18997.6%
4Subword0.56831.4832.36108,65143.2%

Generated Text Samples (Word-based)

Below are text samples generated from each word-based Markov chain model:

Context Size 1:

  1. 1.di ateuh keude neulop ii dari mèssana strabô ngön sichuan jinoë sukèë calameae aseuli 苗族 haraih
  2. 2.nakeuh saboh gampông nyoe bak wikidata data peumeurèntah nakeuh saboh spèsiès nibak volume 82 nibak ...
  3. 3.bak laman sunrisesunset com di jeupun lé shogakkukan nè seuneubeuet bak laman sunrisesunset com di s...

Context Size 2:

  1. 1.bak laman nasa data matauroe teubiet teunom di da irah bak laman geonames data gunong nyoe bak
  2. 2.gunong nyoe bak laman nasa data matauroe teubiet teunom di da irah ajyad 500 ngon 700 meté
  3. 3.nyoe bak wikidata data cuaca daerah gunong nyoe bak wikidata data cuaca daerah gunong nyoe bak laman

Context Size 3:

  1. 1.gunong nyoe bak wikidata data cuaca daerah gunong nyoe bak laman nasa data matauroe teubiet teunom d...
  2. 2.nyoe bak laman geonames data gunong nyoe bak laman geonames data gunong nyoe bak wikidata data cuaca...
  3. 3.lumbôi gampông nyoe lam data peumeurèntah nakeuh nè di pidie pidie

Context Size 4:

  1. 1.gunong nyoe bak laman nasa data matauroe teubiet teunom di da irah bak laman sunrisesunset com di ac...
  2. 2.acèh lumbôi gampông nyoe lam data peumeurèntah nakeuh nè di acèh rayek acèh rayek
  3. 3.gampông nyoe lam data peumeurèntah nakeuh nè di acèh seulatan raja acèh seulatan

Generated Text Samples (Subword-based)

Below are text samples generated from each subword-based Markov chain model:

Context Size 1:

  1. 1._peulopôt_onohoo
  2. 2.acoeuh_dd_teumph
  3. 3.nta'ôn_1,_ba),_b

Context Size 2:

  1. 1.eurènteuh_nè_deuh
  2. 2._nakeuneuropinak_
  3. 3.an_acilife_39_nya

Context Size 3:

  1. 1.ng_di_daerah_cuaca
  2. 2._najôh,_sha_peunaw
  3. 3._bagoë_di_kabupatè

Context Size 4:

  1. 1.euh_babah_la'èn_nya
  2. 2.bak_jijak_ulee_stud
  3. 3._di_muhammouaneuh'e

Key Findings

  • Best Predictability: Context-4 (word) with 97.6% predictability
  • Branching Factor: Decreases with context size (more deterministic)
  • Memory Trade-off: Larger contexts require more storage (108,651 contexts)
  • Recommendation: Context-3 or Context-4 for text generation

4. Vocabulary Analysis

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Statistics

MetricValue
Vocabulary Size15,619
Total Tokens516,593
Mean Frequency33.07
Median Frequency3
Frequency Std Dev414.79

Most Common Words

RankWordFrequency
1di21,222
2nakeuh20,611
3bak18,176
4acèh17,532
5nyoe13,191
6data11,090
7gunong10,023
8nyang9,056
9gampông8,794
10lam7,951

Least Common Words (from vocabulary)

RankWordFrequency
1influence2
2across2
3represent2
4raising2
5ceremony2
6flown2
7reconstructions2
8bendera2
9bekas2
10jawatimu2

Zipf's Law Analysis

MetricValue
Zipf Coefficient1.1698
R² (Goodness of Fit)0.995531
Adherence Qualityexcellent

Coverage Analysis

Top N WordsCoverage
Top 10063.1%
Top 1,00084.1%
Top 5,00094.2%
Top 10,00097.8%

Key Findings

  • Zipf Compliance: R²=0.9955 indicates excellent adherence to Zipf's law
  • High Frequency Dominance: Top 100 words cover 63.1% of corpus
  • Long Tail: 5,619 words needed for remaining 2.2% coverage

5. Word Embeddings Evaluation

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5.1 Cross-Lingual Alignment

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5.2 Model Comparison

ModelDimensionIsotropySemantic DensityAlignment R@1Alignment R@10
mono_32d320.46440.4250N/AN/A
mono_64d640.14320.4182N/AN/A
mono_128d1280.02510.4207N/AN/A
aligned_32d320.4644 🏆0.43920.02400.1600
aligned_64d640.14320.42230.03400.2120
aligned_128d1280.02510.42230.05400.2900

Key Findings

  • Best Isotropy: aligned_32d with 0.4644 (more uniform distribution)
  • Semantic Density: Average pairwise similarity of 0.4246. Lower values indicate better semantic separation.
  • Alignment Quality: Aligned models achieve up to 5.4% R@1 in cross-lingual retrieval.
  • Recommendation: 128d aligned for best cross-lingual performance

6. Morphological Analysis (Experimental)

This section presents an automated morphological analysis derived from the statistical divergence between word-level and subword-level models. By analyzing where subword predictability spikes and where word-level coverage fails, we can infer linguistic structures without supervised data.

6.1 Productivity & Complexity

MetricValueInterpretationRecommendation
Productivity Index5.000High morphological productivityReliable analysis
Idiomaticity Gap0.411High formulaic/idiomatic content-

6.2 Affix Inventory (Productive Units)

These are the most productive prefixes and suffixes identified by sampling the vocabulary for global substitutability patterns. A unit is considered an affix if stripping it leaves a valid stem that appears in other contexts.

Productive Prefixes
PrefixExamples
-gegeudapeuta, geuseutöt, geutanyoe
-memeuubah, meuasai, meupawôt
-geugeudapeuta, geuseutöt, geutanyoe
-meumeuubah, meuasai, meupawôt
-peperdagangan, peunténg, peuradaban
Productive Suffixes
SuffixExamples
-nglambéng, peunténg, gadông
-anperdagangan, azerbaijan, pikeran
-ahpamarèntah, meuubah, bhah

6.3 Bound Stems (Lexical Roots)

Bound stems are high-frequency subword units that are semantically cohesive but rarely appear as standalone words. These often correspond to the 'core' of a word that requires inflection or derivation to be valid.

StemCohesionSubstitutabilityExamples
eung1.43x64 contextsreung, jeung, meung
uneu1.75x28 contextsuneun, runeu, meuneu
euna1.43x60 contextskeuna, beuna, peuna
euen1.53x38 contextsleuen, eueng, meuen
ubeu1.48x22 contextsubeut, neubeu, keubeu
umeu1.43x23 contextsjumeu, geumeu, jeumeu
meur1.61x15 contextsmeurô, meuri, meurak
beue1.55x16 contextsbeuet, rabeue, abeuek
teun1.34x25 contextsuteun, ateung, teuntè
neub1.61x14 contextsneuba, neubeu, neubôh
eune1.65x12 contextsmeuneu, seuneu, jeuneh
anga1.33x23 contextslanga, manga, panga

6.4 Affix Compatibility (Co-occurrence)

This table shows which prefixes and suffixes most frequently co-occur on the same stems, revealing the 'stacking' rules of the language's morphology.

PrefixSuffixFrequencyExamples
-ge-ng64 wordsgeumeujuang, geulumpang
-pe-an54 wordspermulaan, peumeréntahan
-me-ng27 wordsmeuteureubang, meugang
-pe-ng27 wordspeuseunang, peujuang
-me-ah21 wordsmeriah, meutuwah
-ge-ah20 wordsgeuminah, geujajah
-pe-ah15 wordspemerintah, peumeuréntah
-me-an14 wordsmediterranian, meurakan
-ge-an6 wordsgeuritan, geulawan

6.5 Recursive Morpheme Segmentation

Using Recursive Hierarchical Substitutability, we decompose complex words into their constituent morphemes. This approach handles nested affixes (e.g., prefix-prefix-root-suffix).

WordSuggested SplitConfidenceStem
geulumbang`geu-lumba-ng`6.0lumba
geutanyong`geu-tanyo-ng`6.0tanyo
geumeupakat`geu-meu-pakat`6.0pakat
geulanggang`geu-langga-ng`6.0langga
gelombang`ge-lomba-ng`6.0lomba
meupangkat`meu-pangkat`4.5pangkat
meuhubôngan`meu-hubô-ng-an`4.5hubô
meujangeun`meu-jangeun`4.5jangeun
meuneunguy`meu-neunguy`4.5neunguy
meusayeuëp`meu-sayeuëp`4.5sayeuëp
meupapeuen`meu-papeuen`4.5papeuen
geupeuleumah`geu-pe-uleum-ah`4.5uleum
meubintéh`meu-bintéh`4.5bintéh
meupoliték`meu-politék`4.5politék
meuteukeubi`meu-teukeubi`4.5teukeubi

6.6 Linguistic Interpretation

Automated Insight:

The language Acehnese shows high morphological productivity. The subword models are significantly more efficient than word models, suggesting a rich system of affixation or compounding.

Note on Idiomaticity: The high Idiomaticity Gap suggests a large number of frequent multi-word expressions or formulaic sequences that are statistically distinct from their component parts.

7. Summary & Recommendations

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Production Recommendations

ComponentRecommendedRationale
Tokenizer64k BPEBest compression (4.93x)
N-gram2-gramLowest perplexity (224)
MarkovContext-4Highest predictability (97.6%)
Embeddings100dBalanced semantic capture and isotropy

Appendix: Metrics Glossary & Interpretation Guide

This section provides definitions, intuitions, and guidance for interpreting the metrics used throughout this report.

Tokenizer Metrics

Compression Ratio

Definition: The ratio of characters to tokens (chars/token). Measures how efficiently the tokenizer represents text. Intuition: Higher compression means fewer tokens needed to represent the same text, reducing sequence lengths for downstream models. A 3x compression means ~3 characters per token on average. What to seek: Higher is generally better for efficiency, but extremely high compression may indicate overly aggressive merging that loses morphological information.

Average Token Length (Fertility)

Definition: Mean number of characters per token produced by the tokenizer. Intuition: Reflects the granularity of tokenization. Longer tokens capture more context but may struggle with rare words; shorter tokens are more flexible but increase sequence length. What to seek: Balance between 2-5 characters for most languages. Arabic/morphologically-rich languages may benefit from slightly longer tokens.

Unknown Token Rate (OOV Rate)

Definition: Percentage of tokens that map to the unknown/UNK token, indicating words the tokenizer cannot represent. Intuition: Lower OOV means better vocabulary coverage. High OOV indicates the tokenizer encounters many unseen character sequences. What to seek: Below 1% is excellent; below 5% is acceptable. BPE tokenizers typically achieve very low OOV due to subword fallback.

N-gram Model Metrics

Perplexity

Definition: Measures how "surprised" the model is by test data. Mathematically: 2^(cross-entropy). Lower values indicate better prediction. Intuition: If perplexity is 100, the model is as uncertain as if choosing uniformly among 100 options at each step. A perplexity of 10 means effectively choosing among 10 equally likely options. What to seek: Lower is better. Perplexity decreases with larger n-grams (more context). Values vary widely by language and corpus size.

Entropy

Definition: Average information content (in bits) needed to encode the next token given the context. Related to perplexity: perplexity = 2^entropy. Intuition: High entropy means high uncertainty/randomness; low entropy means predictable patterns. Natural language typically has entropy between 1-4 bits per character. What to seek: Lower entropy indicates more predictable text patterns. Entropy should decrease as n-gram size increases.

Coverage (Top-K)

Definition: Percentage of corpus occurrences explained by the top K most frequent n-grams. Intuition: High coverage with few patterns indicates repetitive/formulaic text; low coverage suggests diverse vocabulary usage. What to seek: Depends on use case. For language modeling, moderate coverage (40-60% with top-1000) is typical for natural text.

Markov Chain Metrics

Average Entropy

Definition: Mean entropy across all contexts, measuring average uncertainty in next-word prediction. Intuition: Lower entropy means the model is more confident about what comes next. Context-1 has high entropy (many possible next words); Context-4 has low entropy (few likely continuations). What to seek: Decreasing entropy with larger context sizes. Very low entropy (<0.1) indicates highly deterministic transitions.

Branching Factor

Definition: Average number of unique next tokens observed for each context. Intuition: High branching = many possible continuations (flexible but uncertain); low branching = few options (predictable but potentially repetitive). What to seek: Branching factor should decrease with context size. Values near 1.0 indicate nearly deterministic chains.

Predictability

Definition: Derived metric: (1 - normalized_entropy) × 100%. Indicates how deterministic the model's predictions are. Intuition: 100% predictability means the next word is always certain; 0% means completely random. Real text falls between these extremes. What to seek: Higher predictability for text generation quality, but too high (>98%) may produce repetitive output.

Vocabulary & Zipf's Law Metrics

Zipf's Coefficient

Definition: The slope of the log-log plot of word frequency vs. rank. Zipf's law predicts this should be approximately -1. Intuition: A coefficient near -1 indicates the corpus follows natural language patterns where a few words are very common and most words are rare. What to seek: Values between -0.8 and -1.2 indicate healthy natural language distribution. Deviations may suggest domain-specific or artificial text.

R² (Coefficient of Determination)

Definition: Measures how well the linear fit explains the frequency-rank relationship. Ranges from 0 to 1. Intuition: R² near 1.0 means the data closely follows Zipf's law; lower values indicate deviation from expected word frequency patterns. What to seek: R² > 0.95 is excellent; > 0.99 indicates near-perfect Zipf adherence typical of large natural corpora.

Vocabulary Coverage

Definition: Cumulative percentage of corpus tokens accounted for by the top N words. Intuition: Shows how concentrated word usage is. If top-100 words cover 50% of text, the corpus relies heavily on common words. What to seek: Top-100 covering 30-50% is typical. Higher coverage indicates more repetitive text; lower suggests richer vocabulary.

Word Embedding Metrics

Isotropy

Definition: Measures how uniformly distributed vectors are in the embedding space. Computed as the ratio of minimum to maximum singular values. Intuition: High isotropy (near 1.0) means vectors spread evenly in all directions; low isotropy means vectors cluster in certain directions, reducing expressiveness. What to seek: Higher isotropy generally indicates better-quality embeddings. Values > 0.1 are reasonable; > 0.3 is good. Lower-dimensional embeddings tend to have higher isotropy.

Average Norm

Definition: Mean magnitude (L2 norm) of word vectors in the embedding space. Intuition: Indicates the typical "length" of vectors. Consistent norms suggest stable training; high variance may indicate some words are undertrained. What to seek: Relatively consistent norms across models. The absolute value matters less than consistency (low std deviation).

Cosine Similarity

Definition: Measures angular similarity between vectors, ranging from -1 (opposite) to 1 (identical direction). Intuition: Words with similar meanings should have high cosine similarity. This is the standard metric for semantic relatedness in embeddings. What to seek: Semantically related words should score > 0.5; unrelated words should be near 0. Synonyms often score > 0.7.

t-SNE Visualization

Definition: t-Distributed Stochastic Neighbor Embedding - a dimensionality reduction technique that preserves local structure for visualization. Intuition: Clusters in t-SNE plots indicate groups of semantically related words. Spread indicates vocabulary diversity; tight clusters suggest semantic coherence. What to seek: Meaningful clusters (e.g., numbers together, verbs together). Avoid over-interpreting distances - t-SNE preserves local, not global, structure.

General Interpretation Guidelines

  1. 1.Compare within model families: Metrics are most meaningful when comparing models of the same type (e.g., 8k vs 64k tokenizer).
  2. 2.Consider trade-offs: Better performance on one metric often comes at the cost of another (e.g., compression vs. OOV rate).
  3. 3.Context matters: Optimal values depend on downstream tasks. Text generation may prioritize different metrics than classification.
  4. 4.Corpus influence: All metrics are influenced by corpus characteristics. Wikipedia text differs from social media or literature.
  5. 5.Language-specific patterns: Morphologically rich languages (like Arabic) may show different optimal ranges than analytic languages.

Visualizations Index

VisualizationDescription
Tokenizer CompressionCompression ratios by vocabulary size
Tokenizer FertilityAverage token length by vocabulary
Tokenizer OOVUnknown token rates
Tokenizer Total TokensTotal tokens by vocabulary
N-gram PerplexityPerplexity by n-gram size
N-gram EntropyEntropy by n-gram size
N-gram CoverageTop pattern coverage
N-gram UniqueUnique n-gram counts
Markov EntropyEntropy by context size
Markov BranchingBranching factor by context
Markov ContextsUnique context counts
Zipf's LawFrequency-rank distribution with fit
Vocab FrequencyWord frequency distribution
Top 20 WordsMost frequent words
Vocab CoverageCumulative coverage curve
Embedding IsotropyVector space uniformity
Embedding NormsVector magnitude distribution
Embedding SimilarityWord similarity heatmap
Nearest NeighborsSimilar words for key terms
t-SNE Words2D word embedding visualization
t-SNE Sentences2D sentence embedding visualization
Position EncodingEncoding method comparison
Model SizesStorage requirements
Performance DashboardComprehensive performance overview

About This Project

Data Source

Models trained on wikipedia-monthly - a monthly snapshot of Wikipedia articles across 300+ languages.

Project

A project by [Wikilangs](https://wikilangs.org) - Open-source NLP models for every Wikipedia language.

Maintainer

Omar Kamali - Omneity Labs

Citation

If you use these models in your research, please cite:

bibtex
@misc{wikilangs2025,
  author = {Kamali, Omar},
  title = {Wikilangs: Open NLP Models for Wikipedia Languages},
  year = {2025},
  doi = {10.5281/zenodo.18073153},
  publisher = {Zenodo},
  url = {https://huggingface.co/wikilangs}
  institution = {Omneity Labs}
}

License

MIT License - Free for academic and commercial use.

Links

Report Date: 2026-01-03 16:16:20