{"license": "CC BY 4.0", "license_url": "https://creativecommons.org/licenses/by/4.0/", "word": {"id": "W-0083", "n": 9, "length": 408731, "sha256": "674917230b26fde869c39fd89e93e0b9c624a5c9251095bc1752fa7120514673", "is_record": false, "tie": true, "letters_saved": null, "repeated_occurrences": 257, "credited": [{"name": "Jay Pantone", "github_username": "jaypantone"}], "date": "2026-11-06T23:02:15Z", "date_precision": "day", "received_at": "2026-11-06T23:02:15Z", "source": "site", "source_url": null, "note": "Found by a cold-start Gurobi MILP assembling recursive runs followed by maximal detours, using the detour patterns of rumstd's W-0038 plus all maximal weight-2 and weight-3 patterns. Allowed reset states were those of W-0038 together with first-pair and last-pair positional swaps; runs had at most 503 default steps, and at most two maximal weight-2 detours were permitted. The solver found this 408,731-letter tie with 257 repeated permutation occurrences and reported it optimal within that restricted family; no shorter word was found.", "url": "https://superpermutations.com/w/W-0083", "permutation_windows": 363137, "check_elapsed_seconds": 0.463534, "deletable_letters": null, "begins": "012345678012345670812345670182345670128345670123845670123485670123458670123456870123456078123456071823456071283456071238", "checkers": {"classcheck": {"source_sha256": "fe9c2f7fd612f3311543038c96bfda84d9d81d84229417d35bb44102da78848f", "seconds": 0.006933828815817833}, "bitmapcheck": {"source_sha256": "98e62368f912a3a0735910b924314104681dc2ea55f283c32eb66d52748bf1f0", "seconds": 0.023646026849746704}, "wordhash": {"source_sha256": "38cf2fe1bdc3cc913e730c0da587f82afcb7751332a60dfc9cb9ef87596a0770", "seconds": 0.009271884337067604}, "compiler": "rustc 1.89.0 (29483883e 2025-08-04)"}, "file": {"name": "W-0083.detour", "compression": "detour", "size": 588, "encoded_sha256": "904c6b87731c540b2d0940ee3229a0b1571bbd6ab987cfced085b10b4d2e743b", "metadata": {"schema_version": 1, "format": "detour", "encoded_sha256": "904c6b87731c540b2d0940ee3229a0b1571bbd6ab987cfced085b10b4d2e743b", "encoded_size": 588, "word_length": 408731, "word_sha256": "674917230b26fde869c39fd89e93e0b9c624a5c9251095bc1752fa7120514673", "detour": {"version": 1, "n": 9, "alphabet": "012345678", "length": 408731, "sha256": "674917230b26fde869c39fd89e93e0b9c624a5c9251095bc1752fa7120514673", "tokens": 1567, "starts": 1, "literal_bytes": 0, "steps_by_weight": [322816, 35199, 5070, 4, 4, 39, 4, 0, 0], "detours_by_weight": [0, 2, 1513, 4, 4, 39, 4, 0, 0]}}, "text_download": "https://superpermutations.com/w/W-0083/download/text", "download": "https://superpermutations.com/w/W-0083/download"}}}