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the tier mix uses build-specific ranking bands, not universal difficulty.","column_ids":["extreme_group","rank","letterset","center_letter","answer_count","pangram_count","point_ceiling","higher_ranked_answers","higher_ranked_share_percent"],"dataset_id":"study.honeycomb-possibility-space.extremes","heading":"Hardest and easiest kept configurations by answer count","note":null,"row_ids":["hardest-1","hardest-2","hardest-3","hardest-4","hardest-5","easiest-1","easiest-2","easiest-3","easiest-4","easiest-5"],"table_id":"study.honeycomb-possibility-space.extremes-table"}],"title":"The possibility space of seven-letter honeycomb puzzles","transformation_steps":[{"description":"Group included records by exact letterset, fold submask aggregates into per-center answer, pangram, and point totals, and keep configurations passing the declared v1 quality bar.","deterministic":true,"limitations":["The v1 answer-count and pangram thresholds are declared judgment calls."],"transformation_id":"honeycomb-possibility-space.letterset-fold-v1"}],"update_history":[{"data_version":"2026.07-lexical.5","effective_date":"2026-07-25","result_sha256":"e557d9a4b61f537df115cb59dd27456d01fc6c265ac36b84fe3ace4f71e5caf9","review_status":"machine-validated","reviewer":null,"study_version":"1.0.0","summary":"Initial reproducible aggregate release, bound at the 2026.07-lexical.5 integration build."},{"data_version":"2026.07-lexical.6","effective_date":"2026-07-26","result_sha256":"e557d9a4b61f537df115cb59dd27456d01fc6c265ac36b84fe3ace4f71e5caf9","review_status":"machine-validated","reviewer":null,"study_version":"1.0.0","summary":"Rebound byte-identical results to the 2026.07-lexical.6 data release; no numeric changes."},{"data_version":"2026.07-lexical.6","effective_date":"2026-08-01","result_sha256":"706445777dad86ec1c34416b94392b5b8d712a53fc5363f94e33b6f17da1743e","review_status":"machine-validated","reviewer":null,"study_version":"1.0.1","summary":"Clarified the seven-letter alphabet and center semantics and bounded the difficulty proxy to build-specific ranking tiers."}],"user_relevance":"The counts show how letterset and center choice change answer and pangram totals in this build; the tier-share metric is only a declared difficulty proxy, not measured human difficulty."}