{"abstract":"Treasure is placed in sealed pockets the player cannot reach.","category":"Procedural level generation constraints","checks":8,"contract":"Cells: '#' wall, '~' chasm (not walkable), '.' floor, 'D' door (walkable). A dead end is a '.' cell, other than start and exit ([row, col] lists), with exactly one walkable in-bounds 4-neighbour. Returns dead ends in row-major order.","evaluation_group":"w2-procedural-level-generation-constraints-dead-ends","failed_approach":"Excluding only the start still admits sealed pockets.","family":"w2-procedural-level-generation-constraints-dead-ends-dead-end-degree","id":"FA-86611","implementations":{"attempt":{"sha256":"35ad3f746bdcda5cf90dab5c9a96a6859ddbf24606877a911261f01121726e43","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(grid, start, exit):\n    h = len(grid)\n    w = len(grid[0])\n    ends = []\n    for r in range(h):\n        for c in range(w):\n            if grid[r][c] != '.' or [r, c] in (start, exit):\n                continue\n            n = 0\n            for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):\n                rr, cc = r + dr, c + dc\n                if 0 <= rr < h and 0 <= cc < w and grid[rr][cc] in '.D':\n                    n += 1\n            if n == 1 or n == 0 and [r, c] != start:\n                ends.append([r, c])\n    return ends\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncases = [[('isolated floor #1', [['#.#', '###'], [1, 0], [1, 0]], []),\n  ('regression dead-end degree #1', [['#.#.#', '.#D~~', '..~..', '..D.~'], [1, 4], [2, 0]], [[1, 0], [2, 4]]),\n  ('regression dead-end degree #2', [['.~~##.', '##~DD~'], [0, 1], [1, 0]], []),\n  ('regression dead-end degree #3', [['~.##.', 'D..#~', '...##'], [0, 3], [0, 1]], []),\n  ('regression dead-end degree #4', [['##.#.', '.~#D.', 'D#.~#'], [0, 3], [1, 4]], [[0, 4], [1, 0]]),\n  ('door as neighbour #1', [['#D#', '#.#', '###'], [0, 1], [0, 1]], [[1, 1]]),\n  ('chasm edge #1', [['.~.', '...'], [1, 1], [1, 1]], [[0, 0], [0, 2]]),\n  ('control #1', [['...D#~', '~.###~', '~..D..'], [1, 3], [0, 2]], [[0, 0], [2, 5]])],\n [('isolated floor #1', [['#.#', '###'], [1, 0], [1, 0]], []),\n  ('regression dead-end degree #1', [['.~~##.', '##~DD~'], [0, 1], [1, 0]], []),\n  ('regression dead-end degree #2', [['~.##.', 'D..#~', '...##'], [0, 3], [0, 1]], []),\n  ('regression dead-end degree #3', [['##.#.', '.~#D.', 'D#.~#'], [0, 3], [1, 4]], [[0, 4], [1, 0]]),\n  ('regression dead-end degree #4', [['D.', 'DD', '.~', '#.'], [3, 0], [3, 0]], [[2, 0]]),\n  ('door as neighbour #1', [['#D#', '#.#', '###'], [0, 1], [0, 1]], [[1, 1]]),\n  ('chasm edge #1', [['.~.', '...'], [1, 1], [1, 1]], [[0, 0], [0, 2]]),\n  ('control #1', [['...D#~', '~.###~', '~..D..'], [1, 3], [0, 2]], [[0, 0], [2, 5]])],\n [('isolated floor #1', [['#.#', '###'], [1, 0], [1, 0]], []),\n  ('regression dead-end degree #1', [['##.#.', '.~#D.', 'D#.~#'], [0, 3], [1, 4]], [[0, 4], [1, 0]]),\n  ('regression dead-end degree #2', [['D.', 'DD', '.~', '#.'], [3, 0], [3, 0]], [[2, 0]]),\n  ('regression dead-end degree #3',\n   [['.D~~.~', '~..#.D', '#~D.#.', '#..~.#', '.#...#'], [1, 5], [0, 5]],\n   [[0, 0], [0, 4], [2, 3], [2, 5], [3, 1], [3, 4]]),\n  ('regression dead-end degree #4', [['.##', '#..'], [1, 2], [0, 1]], [[1, 1]]),\n  ('door as neighbour #1', [['#D#', '#.#', '###'], [0, 1], [0, 1]], [[1, 1]]),\n  ('chasm edge #1', [['.~.', '...'], [1, 1], [1, 1]], [[0, 0], [0, 2]]),\n  ('control #1', [['...D#~', '~.###~', '~..D..'], [1, 3], [0, 2]], [[0, 0], [2, 5]])],\n [('isolated floor #1', [['#.#', '###'], [1, 0], [1, 0]], []),\n  ('regression dead-end degree #1',\n   [['.D~~.~', '~..#.D', '#~D.#.', '#..~.#', '.#...#'], [1, 5], [0, 5]],\n   [[0, 0], [0, 4], [2, 3], [2, 5], [3, 1], [3, 4]]),\n  ('regression dead-end degree #2', [['.##', '#..'], [1, 2], [0, 1]], [[1, 1]]),\n  ('regression dead-end degree #3',\n   [['.###..', '~#~~..', '....~.', '~D~...', '.#~D~.', '~D...#'], [3, 0], [1, 0]],\n   [[2, 0], [4, 5], [5, 4]]),\n  ('regression dead-end degree #4',\n   [['#D...D', '#D#...', '##.##.', '#.##.#', '#D##.~', 'D.#...'], [2, 5], [5, 3]],\n   [[3, 1], [3, 4], [5, 5]]),\n  ('door as neighbour #1', [['#D#', '#.#', '###'], [0, 1], [0, 1]], [[1, 1]]),\n  ('chasm edge #1', [['.~.', '...'], [1, 1], [1, 1]], [[0, 0], [0, 2]]),\n  ('control #1', [['#~.#.', '#...D', 'D.#..', '#....', '##..~'], [3, 0], [3, 3]], [[0, 2], [0, 4]])],\n [('isolated floor #1', [['#.#', '###'], [1, 0], [1, 0]], []),\n  ('regression dead-end degree #1',\n   [['.###..', '~#~~..', '....~.', '~D~...', '.#~D~.', '~D...#'], [3, 0], [1, 0]],\n   [[2, 0], [4, 5], [5, 4]]),\n  ('regression dead-end degree #2',\n   [['#D...D', '#D#...', '##.##.', '#.##.#', '#D##.~', 'D.#...'], [2, 5], [5, 3]],\n   [[3, 1], [3, 4], [5, 5]]),\n  ('regression dead-end degree #3', [['#~.~.', '..#~.', '#.D.~', '~#~..'], [1, 4], [1, 0]], [[0, 4], [3, 4]]),\n  ('regression dead-end degree #4',\n   [['..#.D.', '~~D###', '...##.', '...DD~', 'D~.DD#', 'D..~D~'], [0, 4], [0, 0]],\n   [[0, 1], [0, 3], [0, 5]]),\n  ('door as neighbour #1', [['#D#', '#.#', '###'], [0, 1], [0, 1]], [[1, 1]]),\n  ('chasm edge #1', [['.~.', '...'], [1, 1], [1, 1]], [[0, 0], [0, 2]]),\n  ('control #1', [['~D.#D', '#.#~.'], [0, 1], [1, 2]], [[0, 2], [1, 1], [1, 4]])]]\nfor label, args, expected in cases[N-1]:\n    check(label, solve(*args), expected)\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"},"broken":{"sha256":"448a13ecf7f4f48d87d7a12d96b7dce902d3df789273d1675b6d6432c50a77fc","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(grid, start, exit):\n    h = len(grid)\n    w = len(grid[0])\n    ends = []\n    for r in range(h):\n        for c in range(w):\n            if grid[r][c] != '.' or [r, c] in (start, exit):\n                continue\n            n = 0\n            for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):\n                rr, cc = r + dr, c + dc\n                if 0 <= rr < h and 0 <= cc < w and grid[rr][cc] in '.D':\n                    n += 1\n            if n <= 1:\n                ends.append([r, c])\n    return ends\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncases = [[('isolated floor #1', [['#.#', '###'], [1, 0], [1, 0]], []),\n  ('regression dead-end degree #1', [['#.#.#', '.#D~~', '..~..', '..D.~'], [1, 4], [2, 0]], [[1, 0], [2, 4]]),\n  ('regression dead-end degree #2', [['.~~##.', '##~DD~'], [0, 1], [1, 0]], []),\n  ('regression dead-end degree #3', [['~.##.', 'D..#~', '...##'], [0, 3], [0, 1]], []),\n  ('regression dead-end degree #4', [['##.#.', '.~#D.', 'D#.~#'], [0, 3], [1, 4]], [[0, 4], [1, 0]]),\n  ('door as neighbour #1', [['#D#', '#.#', '###'], [0, 1], [0, 1]], [[1, 1]]),\n  ('chasm edge #1', [['.~.', '...'], [1, 1], [1, 1]], [[0, 0], [0, 2]]),\n  ('control #1', [['...D#~', '~.###~', '~..D..'], [1, 3], [0, 2]], [[0, 0], [2, 5]])],\n [('isolated floor #1', [['#.#', '###'], [1, 0], [1, 0]], []),\n  ('regression dead-end degree #1', [['.~~##.', '##~DD~'], [0, 1], [1, 0]], []),\n  ('regression dead-end degree #2', [['~.##.', 'D..#~', '...##'], [0, 3], [0, 1]], []),\n  ('regression dead-end degree #3', [['##.#.', '.~#D.', 'D#.~#'], [0, 3], [1, 4]], [[0, 4], [1, 0]]),\n  ('regression dead-end degree #4', [['D.', 'DD', '.~', '#.'], [3, 0], [3, 0]], [[2, 0]]),\n  ('door as neighbour #1', [['#D#', '#.#', '###'], [0, 1], [0, 1]], [[1, 1]]),\n  ('chasm edge #1', [['.~.', '...'], [1, 1], [1, 1]], [[0, 0], [0, 2]]),\n  ('control #1', [['...D#~', '~.###~', '~..D..'], [1, 3], [0, 2]], [[0, 0], [2, 5]])],\n [('isolated floor #1', [['#.#', '###'], [1, 0], [1, 0]], []),\n  ('regression dead-end degree #1', [['##.#.', '.~#D.', 'D#.~#'], [0, 3], [1, 4]], [[0, 4], [1, 0]]),\n  ('regression dead-end degree #2', [['D.', 'DD', '.~', '#.'], [3, 0], [3, 0]], [[2, 0]]),\n  ('regression dead-end degree #3',\n   [['.D~~.~', '~..#.D', '#~D.#.', '#..~.#', '.#...#'], [1, 5], [0, 5]],\n   [[0, 0], [0, 4], [2, 3], [2, 5], [3, 1], [3, 4]]),\n  ('regression dead-end degree #4', [['.##', '#..'], [1, 2], [0, 1]], [[1, 1]]),\n  ('door as neighbour #1', [['#D#', '#.#', '###'], [0, 1], [0, 1]], [[1, 1]]),\n  ('chasm edge #1', [['.~.', '...'], [1, 1], [1, 1]], [[0, 0], [0, 2]]),\n  ('control #1', [['...D#~', '~.###~', '~..D..'], [1, 3], [0, 2]], [[0, 0], [2, 5]])],\n [('isolated floor #1', [['#.#', '###'], [1, 0], [1, 0]], []),\n  ('regression dead-end degree #1',\n   [['.D~~.~', '~..#.D', '#~D.#.', '#..~.#', '.#...#'], [1, 5], [0, 5]],\n   [[0, 0], [0, 4], [2, 3], [2, 5], [3, 1], [3, 4]]),\n  ('regression dead-end degree #2', [['.##', '#..'], [1, 2], [0, 1]], [[1, 1]]),\n  ('regression dead-end degree #3',\n   [['.###..', '~#~~..', '....~.', '~D~...', '.#~D~.', '~D...#'], [3, 0], [1, 0]],\n   [[2, 0], [4, 5], [5, 4]]),\n  ('regression dead-end degree #4',\n   [['#D...D', '#D#...', '##.##.', '#.##.#', '#D##.~', 'D.#...'], [2, 5], [5, 3]],\n   [[3, 1], [3, 4], [5, 5]]),\n  ('door as neighbour #1', [['#D#', '#.#', '###'], [0, 1], [0, 1]], [[1, 1]]),\n  ('chasm edge #1', [['.~.', '...'], [1, 1], [1, 1]], [[0, 0], [0, 2]]),\n  ('control #1', [['#~.#.', '#...D', 'D.#..', '#....', '##..~'], [3, 0], [3, 3]], [[0, 2], [0, 4]])],\n [('isolated floor #1', [['#.#', '###'], [1, 0], [1, 0]], []),\n  ('regression dead-end degree #1',\n   [['.###..', '~#~~..', '....~.', '~D~...', '.#~D~.', '~D...#'], [3, 0], [1, 0]],\n   [[2, 0], [4, 5], [5, 4]]),\n  ('regression dead-end degree #2',\n   [['#D...D', '#D#...', '##.##.', '#.##.#', '#D##.~', 'D.#...'], [2, 5], [5, 3]],\n   [[3, 1], [3, 4], [5, 5]]),\n  ('regression dead-end degree #3', [['#~.~.', '..#~.', '#.D.~', '~#~..'], [1, 4], [1, 0]], [[0, 4], [3, 4]]),\n  ('regression dead-end degree #4',\n   [['..#.D.', '~~D###', '...##.', '...DD~', 'D~.DD#', 'D..~D~'], [0, 4], [0, 0]],\n   [[0, 1], [0, 3], [0, 5]]),\n  ('door as neighbour #1', [['#D#', '#.#', '###'], [0, 1], [0, 1]], [[1, 1]]),\n  ('chasm edge #1', [['.~.', '...'], [1, 1], [1, 1]], [[0, 0], [0, 2]]),\n  ('control #1', [['~D.#D', '#.#~.'], [0, 1], [1, 2]], [[0, 2], [1, 1], [1, 4]])]]\nfor label, args, expected in cases[N-1]:\n    check(label, solve(*args), expected)\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"},"fixed":{"sha256":"7fe35dcfc4b059084ae550bf589bf281ff654898c972ec161a535071c49a7bed","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(grid, start, exit):\n    h = len(grid)\n    w = len(grid[0])\n    ends = []\n    for r in range(h):\n        for c in range(w):\n            if grid[r][c] != '.' or [r, c] in (start, exit):\n                continue\n            n = 0\n            for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):\n                rr, cc = r + dr, c + dc\n                if 0 <= rr < h and 0 <= cc < w and grid[rr][cc] in '.D':\n                    n += 1\n            if n == 1:\n                ends.append([r, c])\n    return ends\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncases = [[('isolated floor #1', [['#.#', '###'], [1, 0], [1, 0]], []),\n  ('regression dead-end degree #1', [['#.#.#', '.#D~~', '..~..', '..D.~'], [1, 4], [2, 0]], [[1, 0], [2, 4]]),\n  ('regression dead-end degree #2', [['.~~##.', '##~DD~'], [0, 1], [1, 0]], []),\n  ('regression dead-end degree #3', [['~.##.', 'D..#~', '...##'], [0, 3], [0, 1]], []),\n  ('regression dead-end degree #4', [['##.#.', '.~#D.', 'D#.~#'], [0, 3], [1, 4]], [[0, 4], [1, 0]]),\n  ('door as neighbour #1', [['#D#', '#.#', '###'], [0, 1], [0, 1]], [[1, 1]]),\n  ('chasm edge #1', [['.~.', '...'], [1, 1], [1, 1]], [[0, 0], [0, 2]]),\n  ('control #1', [['...D#~', '~.###~', '~..D..'], [1, 3], [0, 2]], [[0, 0], [2, 5]])],\n [('isolated floor #1', [['#.#', '###'], [1, 0], [1, 0]], []),\n  ('regression dead-end degree #1', [['.~~##.', '##~DD~'], [0, 1], [1, 0]], []),\n  ('regression dead-end degree #2', [['~.##.', 'D..#~', '...##'], [0, 3], [0, 1]], []),\n  ('regression dead-end degree #3', [['##.#.', '.~#D.', 'D#.~#'], [0, 3], [1, 4]], [[0, 4], [1, 0]]),\n  ('regression dead-end degree #4', [['D.', 'DD', '.~', '#.'], [3, 0], [3, 0]], [[2, 0]]),\n  ('door as neighbour #1', [['#D#', '#.#', '###'], [0, 1], [0, 1]], [[1, 1]]),\n  ('chasm edge #1', [['.~.', '...'], [1, 1], [1, 1]], [[0, 0], [0, 2]]),\n  ('control #1', [['...D#~', '~.###~', '~..D..'], [1, 3], [0, 2]], [[0, 0], [2, 5]])],\n [('isolated floor #1', [['#.#', '###'], [1, 0], [1, 0]], []),\n  ('regression dead-end degree #1', [['##.#.', '.~#D.', 'D#.~#'], [0, 3], [1, 4]], [[0, 4], [1, 0]]),\n  ('regression dead-end degree #2', [['D.', 'DD', '.~', '#.'], [3, 0], [3, 0]], [[2, 0]]),\n  ('regression dead-end degree #3',\n   [['.D~~.~', '~..#.D', '#~D.#.', '#..~.#', '.#...#'], [1, 5], [0, 5]],\n   [[0, 0], [0, 4], [2, 3], [2, 5], [3, 1], [3, 4]]),\n  ('regression dead-end degree #4', [['.##', '#..'], [1, 2], [0, 1]], [[1, 1]]),\n  ('door as neighbour #1', [['#D#', '#.#', '###'], [0, 1], [0, 1]], [[1, 1]]),\n  ('chasm edge #1', [['.~.', '...'], [1, 1], [1, 1]], [[0, 0], [0, 2]]),\n  ('control #1', [['...D#~', '~.###~', '~..D..'], [1, 3], [0, 2]], [[0, 0], [2, 5]])],\n [('isolated floor #1', [['#.#', '###'], [1, 0], [1, 0]], []),\n  ('regression dead-end degree #1',\n   [['.D~~.~', '~..#.D', '#~D.#.', '#..~.#', '.#...#'], [1, 5], [0, 5]],\n   [[0, 0], [0, 4], [2, 3], [2, 5], [3, 1], [3, 4]]),\n  ('regression dead-end degree #2', [['.##', '#..'], [1, 2], [0, 1]], [[1, 1]]),\n  ('regression dead-end degree #3',\n   [['.###..', '~#~~..', '....~.', '~D~...', '.#~D~.', '~D...#'], [3, 0], [1, 0]],\n   [[2, 0], [4, 5], [5, 4]]),\n  ('regression dead-end degree #4',\n   [['#D...D', '#D#...', '##.##.', '#.##.#', '#D##.~', 'D.#...'], [2, 5], [5, 3]],\n   [[3, 1], [3, 4], [5, 5]]),\n  ('door as neighbour #1', [['#D#', '#.#', '###'], [0, 1], [0, 1]], [[1, 1]]),\n  ('chasm edge #1', [['.~.', '...'], [1, 1], [1, 1]], [[0, 0], [0, 2]]),\n  ('control #1', [['#~.#.', '#...D', 'D.#..', '#....', '##..~'], [3, 0], [3, 3]], [[0, 2], [0, 4]])],\n [('isolated floor #1', [['#.#', '###'], [1, 0], [1, 0]], []),\n  ('regression dead-end degree #1',\n   [['.###..', '~#~~..', '....~.', '~D~...', '.#~D~.', '~D...#'], [3, 0], [1, 0]],\n   [[2, 0], [4, 5], [5, 4]]),\n  ('regression dead-end degree #2',\n   [['#D...D', '#D#...', '##.##.', '#.##.#', '#D##.~', 'D.#...'], [2, 5], [5, 3]],\n   [[3, 1], [3, 4], [5, 5]]),\n  ('regression dead-end degree #3', [['#~.~.', '..#~.', '#.D.~', '~#~..'], [1, 4], [1, 0]], [[0, 4], [3, 4]]),\n  ('regression dead-end degree #4',\n   [['..#.D.', '~~D###', '...##.', '...DD~', 'D~.DD#', 'D..~D~'], [0, 4], [0, 0]],\n   [[0, 1], [0, 3], [0, 5]]),\n  ('door as neighbour #1', [['#D#', '#.#', '###'], [0, 1], [0, 1]], [[1, 1]]),\n  ('chasm edge #1', [['.~.', '...'], [1, 1], [1, 1]], [[0, 0], [0, 2]]),\n  ('control #1', [['~D.#D', '#.#~.'], [0, 1], [1, 2]], [[0, 2], [1, 1], [1, 4]])]]\nfor label, args, expected in cases[N-1]:\n    check(label, solve(*args), expected)\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"}},"limitations":"Deterministic toy contract stipulated for this model; integer or exact arithmetic only, not a reproduction of any specific game engine. This reproducer isolates one failure mechanism. Results cover the supplied fixtures. Variants within a family share a test contract and should remain grouped when constructing evaluation splits. Related mechanisms with a shared evaluation_group must also remain together; these controlled models are not independent production incidents.","method":"Deterministic executable model with adversarial boundary fixtures.","provenance":{"created_by":"Failure Map","dependencies":"Python standard library","family":"w2-procedural-level-generation-constraints-dead-ends-dead-end-degree","generated_at":"2026-09-29T14:50:51.211291+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Procedural generators silently emit unplayable or unfair levels when a single constraint check uses the wrong boundary, axis, neighborhood or update order; the defect is visible in exact generated geometry.","repair":"Restore `if n == 1:` at the dead-end degree step.","root_cause":"Zero-degree cells pass the dead-end test.","sha256":"f1f124bdbb26c6d33d7d8e4136eed5266c2396278b883b49f755e1c48a59d578","title":"Treasure dead-end finder: Isolated cells count as dead ends · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":42.052,"exit_code":1,"observations":[{"actual":[[0,1]],"check":"isolated floor #1","expected":[],"passed":false},{"actual":[[0,1],[0,3],[1,0],[2,4]],"check":"regression dead-end degree #1","expected":[[1,0],[2,4]],"passed":false},{"actual":[[0,0],[0,5]],"check":"regression dead-end degree #2","expected":[],"passed":false},{"actual":[[0,4]],"check":"regression dead-end degree #3","expected":[],"passed":false},{"actual":[[0,2],[0,4],[1,0],[2,2]],"check":"regression dead-end degree #4","expected":[[0,4],[1,0]],"passed":false},{"actual":[[1,1]],"check":"door as neighbour #1","expected":[[1,1]],"passed":true},{"actual":[[0,0],[0,2]],"check":"chasm edge #1","expected":[[0,0],[0,2]],"passed":true},{"actual":[[0,0],[2,5]],"check":"control #1","expected":[[0,0],[2,5]],"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": 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