{"abstract":"Border cells are averaged as if missing neighbours were zero.","category":"Procedural level generation constraints","checks":8,"contract":"Each cell height becomes floor(mean) of the in-bounds cells in its 3x3 window (input values only). Class: '~' when v < sea, 's' beach when v < sea+2, 'g' when v < mountain, otherwise '^'. Returns strings per row.","contract_signature":"heights, sea, mountain","evaluation_group":"w2-procedural-level-generation-constraints-height-classify","failed_approach":"Counting the centre twice still biases edge cells.","family":"w2-procedural-level-generation-constraints-height-classify-edge-normalisation","id":"FA-86706","implementations":{"attempt":{"sha256":"e6f1b6f4ce070f60189dbc38fa4305d434f0124d43ce8022e5ad01597ff64916","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(heights, sea, mountain):\n    h = len(heights)\n    w = len(heights[0])\n    out = []\n    for r in range(h):\n        row = []\n        for c in range(w):\n            total = 0\n            cnt = 0\n            for rr in range(max(0, r - 1), min(h, r + 2)):\n                for cc in range(max(0, c - 1), min(w, c + 2)):\n                    total += heights[rr][cc]\n                    cnt += 1\n            v = total // (cnt + 1)\n            if v < sea:\n                row.append('~')\n            elif v < sea + 2:\n                row.append('s')\n            elif v < mountain:\n                row.append('g')\n            else:\n                row.append('^')\n        out.append(''.join(row))\n    return out\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncases = [[('corner cell average #1', [[[9, 9], [9, 0]], 3, 8], ['gg', 'gg']),\n  ('beach band edge #1', [[[5]], 3, 9], ['g']),\n  ('single row #1', [[[0, 12, 0]], 3, 6], ['^s^']),\n  ('regression edge normalisation #1', [[[0, 9], [7, 2]], 2, 11], ['gg', 'gg']),\n  ('regression edge normalisation #2', [[[10, 11, 6, 11, 0], [9, 0, 9, 4, 4]], 5, 7], ['^^ss~', '^^ss~']),\n  ('regression edge normalisation #3', [[[9], [8]], 6, 6], ['^', '^']),\n  ('control #1', [[[3], [4], [0]], 4, 10], ['~', '~', '~']),\n  ('control #2', [[[9, 5, 6], [9, 0, 4]], 6, 10], ['~~~', '~~~'])],\n [('beach band edge #1', [[[5]], 3, 9], ['g']),\n  ('single row #1', [[[0, 12, 0]], 3, 6], ['^s^']),\n  ('regression edge normalisation #1', [[[0, 9], [7, 2]], 2, 11], ['gg', 'gg']),\n  ('regression edge normalisation #2', [[[10, 11, 6, 11, 0], [9, 0, 9, 4, 4]], 5, 7], ['^^ss~', '^^ss~']),\n  ('regression edge normalisation #3', [[[9], [8]], 6, 6], ['^', '^']),\n  ('regression edge normalisation #4',\n   [[[5, 4, 2, 6, 4], [12, 10, 8, 2, 4], [4, 10, 11, 2, 6]], 2, 8],\n   ['ggggg', 'ggggg', '^^ggs']),\n  ('control #1', [[[5, 3, 0, 8]], 6, 7], ['~~~~']),\n  ('control #2', [[[4], [0]], 6, 11], ['~', '~'])],\n [('single row #1', [[[0, 12, 0]], 3, 6], ['^s^']),\n  ('beach band edge #1', [[[5]], 3, 9], ['g']),\n  ('regression edge normalisation #1', [[[10, 11, 6, 11, 0], [9, 0, 9, 4, 4]], 5, 7], ['^^ss~', '^^ss~']),\n  ('regression edge normalisation #2', [[[9], [8]], 6, 6], ['^', '^']),\n  ('regression edge normalisation #3',\n   [[[5, 4, 2, 6, 4], [12, 10, 8, 2, 4], [4, 10, 11, 2, 6]], 2, 8],\n   ['ggggg', 'ggggg', '^^ggs']),\n  ('regression edge normalisation #4', [[[6], [4], [8], [4], [8]], 5, 9], ['s', 's', 's', 's', 's']),\n  ('control #1', [[[3, 2], [6, 0], [0, 5]], 4, 7], ['~~', '~~', '~~']),\n  ('control #2', [[[3], [0]], 5, 10], ['~', '~'])],\n [('corner cell average #1', [[[9, 9], [9, 0]], 3, 8], ['gg', 'gg']),\n  ('single row #1', [[[0, 12, 0]], 3, 6], ['^s^']),\n  ('regression edge normalisation #1',\n   [[[5, 4, 2, 6, 4], [12, 10, 8, 2, 4], [4, 10, 11, 2, 6]], 2, 8],\n   ['ggggg', 'ggggg', '^^ggs']),\n  ('regression edge normalisation #2', [[[6], [4], [8], [4], [8]], 5, 9], ['s', 's', 's', 's', 's']),\n  ('regression edge normalisation #3',\n   [[[8, 6, 12, 10, 8], [6, 1, 1, 7, 5], [1, 6, 12, 6, 0], [3, 8, 3, 6, 0], [1, 7, 3, 2, 0]], 6, 9],\n   ['~~sss', '~~sss', '~~~~~', '~~~~~', '~~~~~']),\n  ('regression edge normalisation #4', [[[10, 11], [1, 0]], 3, 9], ['gg', 'gg']),\n  ('control #1', [[[1], [10], [0], [2]], 6, 10], ['~', '~', '~', '~']),\n  ('control #2', [[[0]], 6, 9], ['~'])],\n [('beach band edge #1', [[[5]], 3, 9], ['g']),\n  ('single row #1', [[[0, 12, 0]], 3, 6], ['^s^']),\n  ('regression edge normalisation #1',\n   [[[8, 6, 12, 10, 8], [6, 1, 1, 7, 5], [1, 6, 12, 6, 0], [3, 8, 3, 6, 0], [1, 7, 3, 2, 0]], 6, 9],\n   ['~~sss', '~~sss', '~~~~~', '~~~~~', '~~~~~']),\n  ('fault site edge normalisation #1', [[[5, 5], [10, 3], [7, 0]], 2, 10], ['gg', 'gg', 'gg']),\n  ('regression edge normalisation #2', [[[10, 11], [1, 0]], 3, 9], ['gg', 'gg']),\n  ('regression edge normalisation #3', [[[9, 7]], 2, 6], ['^^']),\n  ('control #1', [[[1, 0]], 2, 8], ['~~']),\n  ('control #2', [[[8], [2], [5], [2], [6]], 6, 8], ['~', '~', '~', '~', '~'])]]\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":"f5f5ebd138e16489cc89b33eea4692d47831c55900dd7c1580f9d8e33e318339","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(heights, sea, mountain):\n    h = len(heights)\n    w = len(heights[0])\n    out = []\n    for r in range(h):\n        row = []\n        for c in range(w):\n            total = 0\n            cnt = 0\n            for rr in range(max(0, r - 1), min(h, r + 2)):\n                for cc in range(max(0, c - 1), min(w, c + 2)):\n                    total += heights[rr][cc]\n                    cnt += 1\n            v = total // 9\n            if v < sea:\n                row.append('~')\n            elif v < sea + 2:\n                row.append('s')\n            elif v < mountain:\n                row.append('g')\n            else:\n                row.append('^')\n        out.append(''.join(row))\n    return out\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncases = [[('corner cell average #1', [[[9, 9], [9, 0]], 3, 8], ['gg', 'gg']),\n  ('beach band edge #1', [[[5]], 3, 9], ['g']),\n  ('single row #1', [[[0, 12, 0]], 3, 6], ['^s^']),\n  ('regression edge normalisation #1', [[[0, 9], [7, 2]], 2, 11], ['gg', 'gg']),\n  ('regression edge normalisation #2', [[[10, 11, 6, 11, 0], [9, 0, 9, 4, 4]], 5, 7], ['^^ss~', '^^ss~']),\n  ('regression edge normalisation #3', [[[9], [8]], 6, 6], ['^', '^']),\n  ('control #1', [[[3], [4], [0]], 4, 10], ['~', '~', '~']),\n  ('control #2', [[[9, 5, 6], [9, 0, 4]], 6, 10], ['~~~', '~~~'])],\n [('beach band edge #1', [[[5]], 3, 9], ['g']),\n  ('single row #1', [[[0, 12, 0]], 3, 6], ['^s^']),\n  ('regression edge normalisation #1', [[[0, 9], [7, 2]], 2, 11], ['gg', 'gg']),\n  ('regression edge normalisation #2', [[[10, 11, 6, 11, 0], [9, 0, 9, 4, 4]], 5, 7], ['^^ss~', '^^ss~']),\n  ('regression edge normalisation #3', [[[9], [8]], 6, 6], ['^', '^']),\n  ('regression edge normalisation #4',\n   [[[5, 4, 2, 6, 4], [12, 10, 8, 2, 4], [4, 10, 11, 2, 6]], 2, 8],\n   ['ggggg', 'ggggg', '^^ggs']),\n  ('control #1', [[[5, 3, 0, 8]], 6, 7], ['~~~~']),\n  ('control #2', [[[4], [0]], 6, 11], ['~', '~'])],\n [('single row #1', [[[0, 12, 0]], 3, 6], ['^s^']),\n  ('beach band edge #1', [[[5]], 3, 9], ['g']),\n  ('regression edge normalisation #1', [[[10, 11, 6, 11, 0], [9, 0, 9, 4, 4]], 5, 7], ['^^ss~', '^^ss~']),\n  ('regression edge normalisation #2', [[[9], [8]], 6, 6], ['^', '^']),\n  ('regression edge normalisation #3',\n   [[[5, 4, 2, 6, 4], [12, 10, 8, 2, 4], [4, 10, 11, 2, 6]], 2, 8],\n   ['ggggg', 'ggggg', '^^ggs']),\n  ('regression edge normalisation #4', [[[6], [4], [8], [4], [8]], 5, 9], ['s', 's', 's', 's', 's']),\n  ('control #1', [[[3, 2], [6, 0], [0, 5]], 4, 7], ['~~', '~~', '~~']),\n  ('control #2', [[[3], [0]], 5, 10], ['~', '~'])],\n [('corner cell average #1', [[[9, 9], [9, 0]], 3, 8], ['gg', 'gg']),\n  ('single row #1', [[[0, 12, 0]], 3, 6], ['^s^']),\n  ('regression edge normalisation #1',\n   [[[5, 4, 2, 6, 4], [12, 10, 8, 2, 4], [4, 10, 11, 2, 6]], 2, 8],\n   ['ggggg', 'ggggg', '^^ggs']),\n  ('regression edge normalisation #2', [[[6], [4], [8], [4], [8]], 5, 9], ['s', 's', 's', 's', 's']),\n  ('regression edge normalisation #3',\n   [[[8, 6, 12, 10, 8], [6, 1, 1, 7, 5], [1, 6, 12, 6, 0], [3, 8, 3, 6, 0], [1, 7, 3, 2, 0]], 6, 9],\n   ['~~sss', '~~sss', '~~~~~', '~~~~~', '~~~~~']),\n  ('regression edge normalisation #4', [[[10, 11], [1, 0]], 3, 9], ['gg', 'gg']),\n  ('control #1', [[[1], [10], [0], [2]], 6, 10], ['~', '~', '~', '~']),\n  ('control #2', [[[0]], 6, 9], ['~'])],\n [('beach band edge #1', [[[5]], 3, 9], ['g']),\n  ('single row #1', [[[0, 12, 0]], 3, 6], ['^s^']),\n  ('regression edge normalisation #1',\n   [[[8, 6, 12, 10, 8], [6, 1, 1, 7, 5], [1, 6, 12, 6, 0], [3, 8, 3, 6, 0], [1, 7, 3, 2, 0]], 6, 9],\n   ['~~sss', '~~sss', '~~~~~', '~~~~~', '~~~~~']),\n  ('fault site edge normalisation #1', [[[5, 5], [10, 3], [7, 0]], 2, 10], ['gg', 'gg', 'gg']),\n  ('regression edge normalisation #2', [[[10, 11], [1, 0]], 3, 9], ['gg', 'gg']),\n  ('regression edge normalisation #3', [[[9, 7]], 2, 6], ['^^']),\n  ('control #1', [[[1, 0]], 2, 8], ['~~']),\n  ('control #2', [[[8], [2], [5], [2], [6]], 6, 8], ['~', '~', '~', '~', '~'])]]\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-height-classify-edge-normalisation","generated_at":"2026-09-29T14:50:52.075435+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.","root_cause":"The window sum is always divided by nine.","sha256":"d8afabb6f6a15be0f9d025a2ab6e21988f8cd71f626e2f9f329f709221f9e288","title":"Heightmap smoothing and biome classes: Map edges sink into the sea · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verified":true,"visibility":"public","verification":{"attempt":{"elapsed_ms":41.568,"exit_code":1,"observations":[{"actual":["gg","gg"],"check":"corner cell average #1","expected":["gg","gg"],"passed":true},{"actual":["~"],"check":"beach band edge #1","expected":["g"],"passed":false},{"actual":["sss"],"check":"single row #1","expected":["^s^"],"passed":false},{"actual":["ss","ss"],"check":"regression edge normalisation #1","expected":["gg","gg"],"passed":false},{"actual":["sss~~","sss~~"],"check":"regression edge normalisation #2","expected":["^^ss~","^^ss~"],"passed":false},{"actual":["~","~"],"check":"regression edge normalisation #3","expected":["^","^"],"passed":false},{"actual":["~","~","~"],"check":"control #1","expected":["~","~","~"],"passed":true},{"actual":["~~~","~~~"],"check":"control #2","expected":["~~~","~~~"],"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"corner cell average #1\", \"actual\": [\"gg\", \"gg\"], \"expected\": [\"gg\", \"gg\"], \"passed\": true}, {\"check\": \"beach band edge #1\", \"actual\": [\"~\"], \"expected\": [\"g\"], \"passed\": false}, {\"check\": \"single row #1\", \"actual\": [\"sss\"], \"expected\": [\"^s^\"], \"passed\": false}, {\"check\": \"regression edge normalisation #1\", \"actual\": [\"ss\", \"ss\"], \"expected\": [\"gg\", \"gg\"], \"passed\": false}, {\"check\": \"regression edge normalisation #2\", \"actual\": [\"sss~~\", \"sss~~\"], \"expected\": [\"^^ss~\", \"^^ss~\"], \"passed\": false}, {\"check\": \"regression edge normalisation #3\", \"actual\": [\"~\", \"~\"], \"expected\": [\"^\", \"^\"], \"passed\": false}, {\"check\": \"control #1\", \"actual\": [\"~\", \"~\", \"~\"], \"expected\": [\"~\", \"~\", \"~\"], \"passed\": true}, {\"check\": \"control #2\", \"actual\": [\"~~~\", \"~~~\"], \"expected\": [\"~~~\", \"~~~\"], \"passed\": true}], \"passed\": false}\n"},"broken":{"elapsed_ms":41.679,"exit_code":1,"observations":[{"actual":["ss","ss"],"check":"corner cell average #1","expected":["gg","gg"],"passed":false},{"actual":["~"],"check":"beach band edge #1","expected":["g"],"passed":false},{"actual":["~~~"],"check":"single row #1","expected":["^s^"],"passed":false},{"actual":["ss","ss"],"check":"regression edge normalisation #1","expected":["gg","gg"],"passed":false},{"actual":["~s~~~","~s~~~"],"check":"regression edge normalisation #2","expected":["^^ss~","^^ss~"],"passed":false},{"actual":["~","~"],"check":"regression edge normalisation #3","expected":["^","^"],"passed":false},{"actual":["~","~","~"],"check":"control #1","expected":["~","~","~"],"passed":true},{"actual":["~~~","~~~"],"check":"control #2","expected":["~~~","~~~"],"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"corner cell average #1\", \"actual\": [\"ss\", \"ss\"], \"expected\": [\"gg\", \"gg\"], \"passed\": false}, {\"check\": \"beach band edge #1\", \"actual\": [\"~\"], \"expected\": [\"g\"], \"passed\": false}, {\"check\": \"single row #1\", \"actual\": [\"~~~\"], \"expected\": [\"^s^\"], \"passed\": false}, {\"check\": \"regression edge normalisation #1\", \"actual\": [\"ss\", \"ss\"], \"expected\": [\"gg\", \"gg\"], \"passed\": false}, {\"check\": \"regression edge normalisation #2\", \"actual\": [\"~s~~~\", \"~s~~~\"], \"expected\": [\"^^ss~\", \"^^ss~\"], \"passed\": false}, {\"check\": \"regression edge normalisation #3\", \"actual\": [\"~\", \"~\"], \"expected\": [\"^\", \"^\"], \"passed\": false}, {\"check\": \"control #1\", \"actual\": [\"~\", \"~\", \"~\"], \"expected\": [\"~\", \"~\", \"~\"], \"passed\": true}, {\"check\": \"control #2\", \"actual\": [\"~~~\", \"~~~\"], \"expected\": [\"~~~\", \"~~~\"], \"passed\": true}], \"passed\": false}\n"}},"member_only":{"stages":["fixed"],"fields":["implementations.fixed","verification.fixed","harness","repair"],"note":"The verified repair, its recorded checks, the repair description, and the scoring harness are available to members."}}