{"abstract":"Adjacent ranks receive a stone instead of a no-komi game.","category":"Go territory scoring","checks":8,"contract":"Input [rank_a, rank_b] as Nk (1..30) or Nd (1..9); 1k and 1d are one rank apart. Equal ranks -> [rank_a, 0, 65]; one rank apart -> [weaker, 0, 5]; otherwise [weaker, min(diff, 9), 5]. Invalid ranks -> \"invalid\". The first element is the player taking black.","evaluation_group":"w2-go-territory-scoring-rank-handicap","failed_approach":"Keeping full komi for the one-rank game gives no advantage to the weaker player.","family":"w2-go-territory-scoring-rank-handicap-one-rank-gap","id":"FA-83216","implementations":{"attempt":{"sha256":"59efd23227858eb95b5dc8a63c390ad6600e6f9870772520ecaa7a70683fd1ce","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(x):\n    def val(s):\n        if len(s) < 2 or not s[:-1].isdigit():\n            return None\n        k = int(s[:-1])\n        if s[-1] == 'k' and 1 <= k <= 30:\n            return 1 - k\n        if s[-1] == 'd' and 1 <= k <= 9:\n            return k\n        return None\n    a, b = x\n    va, vb = val(a), val(b)\n    if va is None or vb is None:\n        return 'invalid'\n    diff = abs(va - vb)\n    weaker = a if va < vb else b\n    if diff == 0:\n        return [a, 0, 65]\n    if diff == 1:\n        return [weaker, 0, 65]\n    return [weaker, min(diff, 9), 5]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[[['20k', '1d'], ['20k', 9, 5]], [['20k', '2d'], ['20k', 9, 5]], [['20k', '5d'], ['20k', 9, 5]], [['20k', '9d'], ['20k', 9, 5]], [['20k', '3p'], 'invalid'], [['10k', '5k'], ['10k', 5, 5]], [['1k', '2k'], ['2k', 0, 5]], [['1k', '1d'], ['1k', 0, 5]]], [[['10k', '8k'], ['10k', 2, 5]], [['10k', '6d'], ['10k', 9, 5]], [['5k', '1k'], ['5k', 4, 5]], [['5k', '0k'], 'invalid'], [['5k', 'k'], 'invalid'], [['3k', '2d'], ['3k', 4, 5]], [['1d', '1k'], ['1k', 0, 5]], [['1d', '1k'], ['1k', 0, 5]]], [[['3k', '5d'], ['3k', 7, 5]], [['3k', '9d'], ['3k', 9, 5]], [['3k', '0k'], 'invalid'], [['2k', '30k'], ['30k', 9, 5]], [['2k', '10k'], ['10k', 8, 5]], [['2k', '1d'], ['2k', 2, 5]], [['1k', '2k'], ['2k', 0, 5]], [['1k', '1d'], ['1k', 0, 5]]], [[['2k', '4k'], ['4k', 2, 5]], [['1k', '3k'], ['3k', 2, 5]], [['1k', '2k'], ['2k', 0, 5]], [['1k', '1k'], ['1k', 0, 65]], [['1k', '5d'], ['1k', 5, 5]], [['1k', '9d'], ['1k', 9, 5]], [['2d', '3d'], ['2d', 0, 5]], [['2d', '3d'], ['2d', 0, 5]]], [[['1k', '2k'], ['2k', 0, 5]], [['1d', '30k'], ['30k', 9, 5]], [['1d', '20k'], ['20k', 9, 5]], [['1d', '2k'], ['2k', 2, 5]], [['1d', '8k'], ['8k', 8, 5]], [['1d', '6d'], ['1d', 5, 5]], [['1d', '4k'], ['4k', 4, 5]], [['1k', '1d'], ['1k', 0, 5]]]]\nfor i, (args, expected) in enumerate(fixtures[N-1]):\n    check(\"handicap case %d\" % i, 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":"0ba35f98daea4403e2e9f9b60fc1c225f783d0ed0d905da5b9055334b12dfbb0","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(x):\n    def val(s):\n        if len(s) < 2 or not s[:-1].isdigit():\n            return None\n        k = int(s[:-1])\n        if s[-1] == 'k' and 1 <= k <= 30:\n            return 1 - k\n        if s[-1] == 'd' and 1 <= k <= 9:\n            return k\n        return None\n    a, b = x\n    va, vb = val(a), val(b)\n    if va is None or vb is None:\n        return 'invalid'\n    diff = abs(va - vb)\n    weaker = a if va < vb else b\n    if diff == 0:\n        return [a, 0, 65]\n    return [weaker, min(diff, 9), 5]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[[['20k', '1d'], ['20k', 9, 5]], [['20k', '2d'], ['20k', 9, 5]], [['20k', '5d'], ['20k', 9, 5]], [['20k', '9d'], ['20k', 9, 5]], [['20k', '3p'], 'invalid'], [['10k', '5k'], ['10k', 5, 5]], [['1k', '2k'], ['2k', 0, 5]], [['1k', '1d'], ['1k', 0, 5]]], [[['10k', '8k'], ['10k', 2, 5]], [['10k', '6d'], ['10k', 9, 5]], [['5k', '1k'], ['5k', 4, 5]], [['5k', '0k'], 'invalid'], [['5k', 'k'], 'invalid'], [['3k', '2d'], ['3k', 4, 5]], [['1d', '1k'], ['1k', 0, 5]], [['1d', '1k'], ['1k', 0, 5]]], [[['3k', '5d'], ['3k', 7, 5]], [['3k', '9d'], ['3k', 9, 5]], [['3k', '0k'], 'invalid'], [['2k', '30k'], ['30k', 9, 5]], [['2k', '10k'], ['10k', 8, 5]], [['2k', '1d'], ['2k', 2, 5]], [['1k', '2k'], ['2k', 0, 5]], [['1k', '1d'], ['1k', 0, 5]]], [[['2k', '4k'], ['4k', 2, 5]], [['1k', '3k'], ['3k', 2, 5]], [['1k', '2k'], ['2k', 0, 5]], [['1k', '1k'], ['1k', 0, 65]], [['1k', '5d'], ['1k', 5, 5]], [['1k', '9d'], ['1k', 9, 5]], [['2d', '3d'], ['2d', 0, 5]], [['2d', '3d'], ['2d', 0, 5]]], [[['1k', '2k'], ['2k', 0, 5]], [['1d', '30k'], ['30k', 9, 5]], [['1d', '20k'], ['20k', 9, 5]], [['1d', '2k'], ['2k', 2, 5]], [['1d', '8k'], ['8k', 8, 5]], [['1d', '6d'], ['1d', 5, 5]], [['1d', '4k'], ['4k', 4, 5]], [['1k', '1d'], ['1k', 0, 5]]]]\nfor i, (args, expected) in enumerate(fixtures[N-1]):\n    check(\"handicap case %d\" % i, 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":"ef2baa8310e23680519c0ce005d7b933642d40fddce62277e3d55abe39e1b76d","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(x):\n    def val(s):\n        if len(s) < 2 or not s[:-1].isdigit():\n            return None\n        k = int(s[:-1])\n        if s[-1] == 'k' and 1 <= k <= 30:\n            return 1 - k\n        if s[-1] == 'd' and 1 <= k <= 9:\n            return k\n        return None\n    a, b = x\n    va, vb = val(a), val(b)\n    if va is None or vb is None:\n        return 'invalid'\n    diff = abs(va - vb)\n    weaker = a if va < vb else b\n    if diff == 0:\n        return [a, 0, 65]\n    if diff == 1:\n        return [weaker, 0, 5]\n    return [weaker, min(diff, 9), 5]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[[['20k', '1d'], ['20k', 9, 5]], [['20k', '2d'], ['20k', 9, 5]], [['20k', '5d'], ['20k', 9, 5]], [['20k', '9d'], ['20k', 9, 5]], [['20k', '3p'], 'invalid'], [['10k', '5k'], ['10k', 5, 5]], [['1k', '2k'], ['2k', 0, 5]], [['1k', '1d'], ['1k', 0, 5]]], [[['10k', '8k'], ['10k', 2, 5]], [['10k', '6d'], ['10k', 9, 5]], [['5k', '1k'], ['5k', 4, 5]], [['5k', '0k'], 'invalid'], [['5k', 'k'], 'invalid'], [['3k', '2d'], ['3k', 4, 5]], [['1d', '1k'], ['1k', 0, 5]], [['1d', '1k'], ['1k', 0, 5]]], [[['3k', '5d'], ['3k', 7, 5]], [['3k', '9d'], ['3k', 9, 5]], [['3k', '0k'], 'invalid'], [['2k', '30k'], ['30k', 9, 5]], [['2k', '10k'], ['10k', 8, 5]], [['2k', '1d'], ['2k', 2, 5]], [['1k', '2k'], ['2k', 0, 5]], [['1k', '1d'], ['1k', 0, 5]]], [[['2k', '4k'], ['4k', 2, 5]], [['1k', '3k'], ['3k', 2, 5]], [['1k', '2k'], ['2k', 0, 5]], [['1k', '1k'], ['1k', 0, 65]], [['1k', '5d'], ['1k', 5, 5]], [['1k', '9d'], ['1k', 9, 5]], [['2d', '3d'], ['2d', 0, 5]], [['2d', '3d'], ['2d', 0, 5]]], [[['1k', '2k'], ['2k', 0, 5]], [['1d', '30k'], ['30k', 9, 5]], [['1d', '20k'], ['20k', 9, 5]], [['1d', '2k'], ['2k', 2, 5]], [['1d', '8k'], ['8k', 8, 5]], [['1d', '6d'], ['1d', 5, 5]], [['1d', '4k'], ['4k', 4, 5]], [['1k', '1d'], ['1k', 0, 5]]]]\nfor i, (args, expected) in enumerate(fixtures[N-1]):\n    check(\"handicap case %d\" % i, 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":"Small rectangular toy boards given as strings of B, W and dot; a bounded teaching model of one scoring or bookkeeping rule, not a complete rules engine or server implementation. 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-go-territory-scoring-rank-handicap-one-rank-gap","generated_at":"2026-09-29T14:50:19.452458+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Go servers and scoring tools compute this value automatically; a wrong answer changes a game result.","repair":"One rank apart: weaker takes black with 0.5 komi and no stones.","root_cause":"The one-rank branch is missing.","sha256":"0d626febd76c62c032f19ae24009ae20bd14361ceaf05400af2e4c9e94bbc213","title":"A one-rank gap is given a one-stone handicap · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":41.184,"exit_code":1,"observations":[{"actual":["20k",9,5],"check":"handicap case 0","expected":["20k",9,5],"passed":true},{"actual":["20k",9,5],"check":"handicap case 1","expected":["20k",9,5],"passed":true},{"actual":["20k",9,5],"check":"handicap case 2","expected":["20k",9,5],"passed":true},{"actual":["20k",9,5],"check":"handicap case 3","expected":["20k",9,5],"passed":true},{"actual":"invalid","check":"handicap case 4","expected":"invalid","passed":true},{"actual":["10k",5,5],"check":"handicap case 5","expected":["10k",5,5],"passed":true},{"actual":["2k",0,65],"check":"handicap case 6","expected":["2k",0,5],"passed":false},{"actual":["1k",0,65],"check":"handicap case 7","expected":["1k",0,5],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"handicap case 0\", \"actual\": [\"20k\", 9, 5], \"expected\": [\"20k\", 9, 5], \"passed\": true}, {\"check\": \"handicap case 1\", \"actual\": [\"20k\", 9, 5], \"expected\": [\"20k\", 9, 5], \"passed\": true}, {\"check\": \"handicap case 2\", \"actual\": [\"20k\", 9, 5], \"expected\": [\"20k\", 9, 5], \"passed\": true}, {\"check\": \"handicap case 3\", \"actual\": [\"20k\", 9, 5], \"expected\": [\"20k\", 9, 5], \"passed\": true}, {\"check\": \"handicap case 4\", \"actual\": \"invalid\", \"expected\": \"invalid\", \"passed\": true}, {\"check\": \"handicap case 5\", \"actual\": [\"10k\", 5, 5], \"expected\": [\"10k\", 5, 5], \"passed\": true}, {\"check\": \"handicap case 6\", \"actual\": [\"2k\", 0, 65], \"expected\": [\"2k\", 0, 5], \"passed\": false}, {\"check\": \"handicap case 7\", \"actual\": [\"1k\", 0, 65], \"expected\": [\"1k\", 0, 5], \"passed\": false}], \"passed\": false}\n"},"broken":{"elapsed_ms":40.453,"exit_code":1,"observations":[{"actual":["20k",9,5],"check":"handicap case 0","expected":["20k",9,5],"passed":true},{"actual":["20k",9,5],"check":"handicap case 1","expected":["20k",9,5],"passed":true},{"actual":["20k",9,5],"check":"handicap case 2","expected":["20k",9,5],"passed":true},{"actual":["20k",9,5],"check":"handicap case 3","expected":["20k",9,5],"passed":true},{"actual":"invalid","check":"handicap case 4","expected":"invalid","passed":true},{"actual":["10k",5,5],"check":"handicap case 5","expected":["10k",5,5],"passed":true},{"actual":["2k",1,5],"check":"handicap case 6","expected":["2k",0,5],"passed":false},{"actual":["1k",1,5],"check":"handicap case 7","expected":["1k",0,5],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"handicap case 0\", \"actual\": [\"20k\", 9, 5], \"expected\": [\"20k\", 9, 5], \"passed\": true}, {\"check\": \"handicap case 1\", \"actual\": [\"20k\", 9, 5], \"expected\": [\"20k\", 9, 5], \"passed\": true}, {\"check\": \"handicap case 2\", \"actual\": [\"20k\", 9, 5], \"expected\": [\"20k\", 9, 5], \"passed\": true}, {\"check\": \"handicap case 3\", \"actual\": [\"20k\", 9, 5], \"expected\": [\"20k\", 9, 5], \"passed\": true}, {\"check\": \"handicap case 4\", \"actual\": \"invalid\", \"expected\": \"invalid\", \"passed\": true}, {\"check\": \"handicap case 5\", \"actual\": [\"10k\", 5, 5], \"expected\": [\"10k\", 5, 5], \"passed\": true}, {\"check\": \"handicap case 6\", \"actual\": [\"2k\", 1, 5], \"expected\": [\"2k\", 0, 5], \"passed\": false}, {\"check\": \"handicap case 7\", \"actual\": [\"1k\", 1, 5], \"expected\": [\"1k\", 0, 5], \"passed\": false}], \"passed\": false}\n"},"fixed":{"elapsed_ms":40.281,"exit_code":0,"observations":[{"actual":["20k",9,5],"check":"handicap case 0","expected":["20k",9,5],"passed":true},{"actual":["20k",9,5],"check":"handicap case 1","expected":["20k",9,5],"passed":true},{"actual":["20k",9,5],"check":"handicap case 2","expected":["20k",9,5],"passed":true},{"actual":["20k",9,5],"check":"handicap case 3","expected":["20k",9,5],"passed":true},{"actual":"invalid","check":"handicap case 4","expected":"invalid","passed":true},{"actual":["10k",5,5],"check":"handicap case 5","expected":["10k",5,5],"passed":true},{"actual":["2k",0,5],"check":"handicap case 6","expected":["2k",0,5],"passed":true},{"actual":["1k",0,5],"check":"handicap case 7","expected":["1k",0,5],"passed":true}],"passed":true,"stderr":"","stdout":"{\"observations\": [{\"check\": \"handicap case 0\", \"actual\": [\"20k\", 9, 5], \"expected\": [\"20k\", 9, 5], \"passed\": true}, {\"check\": \"handicap case 1\", \"actual\": [\"20k\", 9, 5], \"expected\": [\"20k\", 9, 5], \"passed\": true}, {\"check\": \"handicap case 2\", \"actual\": [\"20k\", 9, 5], \"expected\": [\"20k\", 9, 5], \"passed\": true}, {\"check\": \"handicap case 3\", \"actual\": [\"20k\", 9, 5], \"expected\": [\"20k\", 9, 5], \"passed\": true}, {\"check\": \"handicap case 4\", \"actual\": \"invalid\", \"expected\": \"invalid\", \"passed\": true}, {\"check\": \"handicap case 5\", \"actual\": [\"10k\", 5, 5], \"expected\": [\"10k\", 5, 5], \"passed\": true}, {\"check\": \"handicap case 6\", \"actual\": [\"2k\", 0, 5], \"expected\": [\"2k\", 0, 5], \"passed\": true}, {\"check\": \"handicap case 7\", \"actual\": [\"1k\", 0, 5], \"expected\": [\"1k\", 0, 5], \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}