{"abstract":"The exact farey successor sequence result violates the stated contract at neighbor quotient.","category":"Numerics","checks":8,"contract":"Input order n>=1; return all reduced fractions in [0,1] with denominator<=n, increasing. Bounds: 1<=n<=24.","evaluation_group":"s3-numerics-farey-successor-sequence","failed_approach":"The partial repair (n+b-1)//d still violates the neighbor quotient invariant.","family":"s3-numerics-farey-successor-sequence-neighbor-quotient","id":"FA-14496","implementations":{"attempt":{"sha256":"e7afa978174e538faa859a92028fa05e5caadbac00f07c981a23b7facfb789f0","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nimport itertools\nfrom fractions import Fraction\nN = 1\nobservations = []\ndef solve(x):\n    n=x\n    a,b,c,d=0,1,1,n\n    out=[[0,1]]\n    for _ in range(500):\n     if c>n: break\n     out.append([c,d])\n     if d<=0: return None\n     k=(n+b-1)//d\n     a,b,c,d=c,d,k*c-a,k*d-b\n     if a==1 and b==1: break\n    return out\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[(3, [[0, 1], [1, 3], [1, 2], [2, 3], [1, 1]]), (1, [[0, 1], [1, 1]]), (24, [[0, 1], [1, 24], [1, 23], [1, 22], [1, 21], [1, 20], [1, 19], [1, 18], [1, 17], [1, 16], [1, 15], [1, 14], [1, 13], [1, 12], [2, 23], [1, 11], [2, 21], [1, 10], [2, 19], [1, 9], [2, 17], [1, 8], [3, 23], [2, 15], [3, 22], [1, 7], [3, 20], [2, 13], [3, 19], [1, 6], [4, 23], [3, 17], [2, 11], [3, 16], [4, 21], [1, 5], [5, 24], [4, 19], [3, 14], [5, 23], [2, 9], [5, 22], [3, 13], [4, 17], [5, 21], [1, 4], [6, 23], [5, 19], [4, 15], [3, 11], [5, 18], [2, 7], [7, 24], [5, 17], [3, 10], [7, 23], [4, 13], [5, 16], [6, 19], [7, 22], [1, 3], [8, 23], [7, 20], [6, 17], [5, 14], [4, 11], [7, 19], [3, 8], [8, 21], [5, 13], [7, 18], [9, 23], [2, 5], [9, 22], [7, 17], [5, 12], [8, 19], [3, 7], [10, 23], [7, 16], [4, 9], [9, 20], [5, 11], [11, 24], [6, 13], [7, 15], [8, 17], [9, 19], [10, 21], [11, 23], [1, 2], [12, 23], [11, 21], [10, 19], [9, 17], [8, 15], [7, 13], [13, 24], [6, 11], [11, 20], [5, 9], [9, 16], [13, 23], [4, 7], [11, 19], [7, 12], [10, 17], [13, 22], [3, 5], [14, 23], [11, 18], [8, 13], [13, 21], [5, 8], [12, 19], [7, 11], [9, 14], [11, 17], [13, 20], [15, 23], [2, 3], [15, 22], [13, 19], [11, 16], [9, 13], [16, 23], [7, 10], [12, 17], [17, 24], [5, 7], [13, 18], [8, 11], [11, 15], [14, 19], [17, 23], [3, 4], [16, 21], [13, 17], [10, 13], [17, 22], [7, 9], [18, 23], [11, 14], [15, 19], [19, 24], [4, 5], [17, 21], [13, 16], [9, 11], [14, 17], [19, 23], [5, 6], [16, 19], [11, 13], [17, 20], [6, 7], [19, 22], [13, 15], [20, 23], [7, 8], [15, 17], [8, 9], [17, 19], [9, 10], [19, 21], [10, 11], [21, 23], [11, 12], [12, 13], [13, 14], [14, 15], [15, 16], [16, 17], [17, 18], [18, 19], [19, 20], [20, 21], [21, 22], [22, 23], [23, 24], [1, 1]]), (2, [[0, 1], [1, 2], [1, 1]]), (4, [[0, 1], [1, 4], [1, 3], [1, 2], [2, 3], [3, 4], [1, 1]]), (5, [[0, 1], [1, 5], [1, 4], [1, 3], [2, 5], [1, 2], [3, 5], [2, 3], [3, 4], [4, 5], [1, 1]]), (6, [[0, 1], [1, 6], [1, 5], [1, 4], [1, 3], [2, 5], [1, 2], [3, 5], [2, 3], [3, 4], [4, 5], [5, 6], [1, 1]]), (7, [[0, 1], [1, 7], [1, 6], [1, 5], [1, 4], [2, 7], [1, 3], [2, 5], [3, 7], [1, 2], [4, 7], [3, 5], [2, 3], [5, 7], [3, 4], [4, 5], [5, 6], [6, 7], [1, 1]])], [(4, [[0, 1], [1, 4], [1, 3], [1, 2], [2, 3], [3, 4], [1, 1]]), (6, [[0, 1], [1, 6], [1, 5], [1, 4], [1, 3], [2, 5], [1, 2], [3, 5], [2, 3], [3, 4], [4, 5], [5, 6], [1, 1]]), (1, [[0, 1], [1, 1]]), (24, [[0, 1], [1, 24], [1, 23], 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8], [2, 15], [1, 7], [2, 13], [1, 6], [2, 11], [1, 5], [3, 14], [2, 9], [3, 13], [1, 4], [4, 15], [3, 11], [2, 7], [3, 10], [4, 13], [1, 3], [5, 14], [4, 11], [3, 8], [5, 13], [2, 5], [5, 12], [3, 7], [4, 9], [5, 11], [6, 13], [7, 15], [1, 2], [8, 15], [7, 13], [6, 11], [5, 9], [4, 7], [7, 12], [3, 5], [8, 13], [5, 8], [7, 11], [9, 14], [2, 3], [9, 13], [7, 10], [5, 7], [8, 11], [11, 15], [3, 4], [10, 13], [7, 9], [11, 14], [4, 5], [9, 11], [5, 6], [11, 13], [6, 7], [13, 15], [7, 8], [8, 9], [9, 10], [10, 11], [11, 12], [12, 13], [13, 14], [14, 15], [1, 1]]), (1, [[0, 1], [1, 1]]), (24, [[0, 1], [1, 24], [1, 23], [1, 22], [1, 21], [1, 20], [1, 19], [1, 18], [1, 17], [1, 16], [1, 15], [1, 14], [1, 13], [1, 12], [2, 23], [1, 11], [2, 21], [1, 10], [2, 19], [1, 9], [2, 17], [1, 8], [3, 23], [2, 15], [3, 22], [1, 7], [3, 20], [2, 13], [3, 19], [1, 6], [4, 23], [3, 17], [2, 11], [3, 16], [4, 21], [1, 5], [5, 24], [4, 19], [3, 14], [5, 23], [2, 9], [5, 22], [3, 13], [4, 17], [5, 21], [1, 4], [6, 23], [5, 19], [4, 15], [3, 11], [5, 18], [2, 7], [7, 24], [5, 17], [3, 10], [7, 23], [4, 13], [5, 16], [6, 19], [7, 22], [1, 3], [8, 23], [7, 20], [6, 17], [5, 14], [4, 11], [7, 19], [3, 8], [8, 21], [5, 13], [7, 18], [9, 23], [2, 5], [9, 22], [7, 17], [5, 12], [8, 19], [3, 7], [10, 23], [7, 16], [4, 9], [9, 20], [5, 11], [11, 24], [6, 13], [7, 15], [8, 17], [9, 19], [10, 21], [11, 23], [1, 2], [12, 23], [11, 21], [10, 19], [9, 17], [8, 15], [7, 13], [13, 24], [6, 11], [11, 20], [5, 9], [9, 16], [13, 23], [4, 7], [11, 19], [7, 12], [10, 17], [13, 22], [3, 5], [14, 23], [11, 18], [8, 13], [13, 21], [5, 8], [12, 19], [7, 11], [9, 14], [11, 17], [13, 20], [15, 23], [2, 3], [15, 22], [13, 19], [11, 16], [9, 13], [16, 23], [7, 10], [12, 17], [17, 24], [5, 7], [13, 18], [8, 11], [11, 15], [14, 19], [17, 23], [3, 4], [16, 21], [13, 17], [10, 13], [17, 22], [7, 9], [18, 23], [11, 14], [15, 19], [19, 24], [4, 5], [17, 21], [13, 16], [9, 11], [14, 17], [19, 23], [5, 6], [16, 19], [11, 13], [17, 20], [6, 7], [19, 22], [13, 15], [20, 23], [7, 8], [15, 17], [8, 9], [17, 19], [9, 10], [19, 21], [10, 11], [21, 23], [11, 12], [12, 13], [13, 14], [14, 15], [15, 16], [16, 17], [17, 18], [18, 19], [19, 20], [20, 21], [21, 22], [22, 23], [23, 24], [1, 1]]), (21, [[0, 1], [1, 21], [1, 20], [1, 19], [1, 18], [1, 17], [1, 16], [1, 15], [1, 14], [1, 13], [1, 12], [1, 11], [2, 21], [1, 10], [2, 19], [1, 9], [2, 17], [1, 8], [2, 15], [1, 7], [3, 20], [2, 13], [3, 19], [1, 6], [3, 17], [2, 11], [3, 16], [4, 21], [1, 5], [4, 19], [3, 14], [2, 9], [3, 13], [4, 17], [5, 21], [1, 4], [5, 19], [4, 15], [3, 11], [5, 18], [2, 7], [5, 17], [3, 10], [4, 13], [5, 16], [6, 19], [1, 3], [7, 20], [6, 17], [5, 14], [4, 11], [7, 19], [3, 8], [8, 21], [5, 13], [7, 18], [2, 5], [7, 17], [5, 12], [8, 19], [3, 7], [7, 16], [4, 9], [9, 20], [5, 11], [6, 13], [7, 15], [8, 17], [9, 19], [10, 21], [1, 2], [11, 21], [10, 19], [9, 17], [8, 15], [7, 13], [6, 11], [11, 20], [5, 9], [9, 16], [4, 7], [11, 19], [7, 12], [10, 17], [3, 5], [11, 18], [8, 13], [13, 21], [5, 8], [12, 19], [7, 11], [9, 14], [11, 17], [13, 20], [2, 3], [13, 19], [11, 16], [9, 13], [7, 10], [12, 17], [5, 7], [13, 18], [8, 11], [11, 15], [14, 19], [3, 4], [16, 21], [13, 17], [10, 13], [7, 9], [11, 14], [15, 19], [4, 5], [17, 21], [13, 16], [9, 11], [14, 17], [5, 6], [16, 19], [11, 13], [17, 20], [6, 7], [13, 15], [7, 8], [15, 17], [8, 9], [17, 19], [9, 10], [19, 21], [10, 11], [11, 12], [12, 13], [13, 14], [14, 15], [15, 16], [16, 17], [17, 18], [18, 19], [19, 20], [20, 21], [1, 1]]), (22, [[0, 1], [1, 22], [1, 21], [1, 20], [1, 19], [1, 18], [1, 17], [1, 16], [1, 15], [1, 14], [1, 13], [1, 12], [1, 11], [2, 21], [1, 10], [2, 19], [1, 9], [2, 17], [1, 8], [2, 15], [3, 22], [1, 7], [3, 20], [2, 13], [3, 19], [1, 6], [3, 17], [2, 11], [3, 16], [4, 21], [1, 5], [4, 19], [3, 14], [2, 9], [5, 22], [3, 13], [4, 17], [5, 21], [1, 4], [5, 19], [4, 15], [3, 11], [5, 18], [2, 7], [5, 17], [3, 10], [4, 13], [5, 16], [6, 19], [7, 22], [1, 3], [7, 20], [6, 17], [5, 14], [4, 11], [7, 19], [3, 8], [8, 21], [5, 13], [7, 18], [2, 5], [9, 22], [7, 17], [5, 12], [8, 19], [3, 7], [7, 16], [4, 9], [9, 20], [5, 11], [6, 13], [7, 15], [8, 17], [9, 19], [10, 21], [1, 2], [11, 21], [10, 19], [9, 17], [8, 15], [7, 13], [6, 11], [11, 20], [5, 9], [9, 16], [4, 7], [11, 19], [7, 12], [10, 17], [13, 22], [3, 5], [11, 18], [8, 13], [13, 21], [5, 8], [12, 19], [7, 11], [9, 14], [11, 17], [13, 20], [2, 3], [15, 22], [13, 19], [11, 16], [9, 13], [7, 10], [12, 17], [5, 7], [13, 18], [8, 11], [11, 15], [14, 19], [3, 4], [16, 21], [13, 17], [10, 13], [17, 22], [7, 9], [11, 14], [15, 19], [4, 5], [17, 21], [13, 16], [9, 11], [14, 17], [5, 6], [16, 19], [11, 13], [17, 20], [6, 7], [19, 22], [13, 15], [7, 8], [15, 17], [8, 9], [17, 19], [9, 10], [19, 21], [10, 11], [11, 12], [12, 13], [13, 14], [14, 15], [15, 16], [16, 17], [17, 18], [18, 19], [19, 20], [20, 21], [21, 22], [1, 1]]), (23, [[0, 1], [1, 23], [1, 22], [1, 21], [1, 20], [1, 19], [1, 18], [1, 17], [1, 16], [1, 15], [1, 14], [1, 13], [1, 12], [2, 23], [1, 11], [2, 21], [1, 10], [2, 19], [1, 9], [2, 17], [1, 8], [3, 23], [2, 15], [3, 22], [1, 7], [3, 20], [2, 13], [3, 19], [1, 6], [4, 23], [3, 17], [2, 11], [3, 16], [4, 21], [1, 5], [4, 19], [3, 14], [5, 23], [2, 9], [5, 22], [3, 13], [4, 17], [5, 21], [1, 4], [6, 23], [5, 19], [4, 15], [3, 11], [5, 18], [2, 7], [5, 17], [3, 10], [7, 23], [4, 13], [5, 16], [6, 19], [7, 22], [1, 3], [8, 23], [7, 20], [6, 17], [5, 14], [4, 11], [7, 19], [3, 8], [8, 21], [5, 13], [7, 18], [9, 23], [2, 5], [9, 22], [7, 17], [5, 12], [8, 19], [3, 7], [10, 23], [7, 16], [4, 9], [9, 20], [5, 11], [6, 13], [7, 15], [8, 17], [9, 19], [10, 21], [11, 23], [1, 2], [12, 23], [11, 21], [10, 19], [9, 17], [8, 15], [7, 13], [6, 11], [11, 20], [5, 9], [9, 16], [13, 23], [4, 7], [11, 19], [7, 12], [10, 17], [13, 22], [3, 5], [14, 23], [11, 18], [8, 13], [13, 21], [5, 8], [12, 19], [7, 11], [9, 14], [11, 17], [13, 20], [15, 23], [2, 3], [15, 22], [13, 19], [11, 16], [9, 13], [16, 23], [7, 10], [12, 17], [5, 7], [13, 18], [8, 11], [11, 15], [14, 19], [17, 23], [3, 4], [16, 21], [13, 17], [10, 13], [17, 22], [7, 9], [18, 23], [11, 14], [15, 19], [4, 5], [17, 21], [13, 16], [9, 11], [14, 17], [19, 23], [5, 6], [16, 19], [11, 13], [17, 20], [6, 7], [19, 22], [13, 15], [20, 23], [7, 8], [15, 17], [8, 9], [17, 19], [9, 10], [19, 21], [10, 11], [21, 23], [11, 12], [12, 13], [13, 14], [14, 15], [15, 16], [16, 17], [17, 18], [18, 19], [19, 20], [20, 21], [21, 22], [22, 23], [1, 1]]), (2, [[0, 1], [1, 2], [1, 1]])]]\nfor i, (args, expected) in enumerate(fixtures[N-1]):\n    check(\"explicit oracle %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":"eee36c8127b5e520f4a515d676c9e51406b90d407c6a495542b649bc80ecc18c","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nimport itertools\nfrom fractions import Fraction\nN = 1\nobservations = []\ndef solve(x):\n    n=x\n    a,b,c,d=0,1,1,n\n    out=[[0,1]]\n    for _ in range(500):\n     if c>n: break\n     out.append([c,d])\n     if d<=0: return None\n     k=n//d\n     a,b,c,d=c,d,k*c-a,k*d-b\n     if a==1 and b==1: break\n    return out\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[(3, [[0, 1], [1, 3], [1, 2], [2, 3], [1, 1]]), (1, [[0, 1], [1, 1]]), (24, [[0, 1], [1, 24], [1, 23], [1, 22], [1, 21], [1, 20], [1, 19], [1, 18], [1, 17], [1, 16], [1, 15], [1, 14], [1, 13], [1, 12], [2, 23], [1, 11], [2, 21], [1, 10], [2, 19], [1, 9], [2, 17], [1, 8], [3, 23], [2, 15], [3, 22], [1, 7], [3, 20], [2, 13], [3, 19], [1, 6], [4, 23], [3, 17], [2, 11], [3, 16], [4, 21], [1, 5], [5, 24], [4, 19], [3, 14], [5, 23], [2, 9], [5, 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[19, 22], [13, 15], [20, 23], [7, 8], [15, 17], [8, 9], [17, 19], [9, 10], [19, 21], [10, 11], [21, 23], [11, 12], [12, 13], [13, 14], [14, 15], [15, 16], [16, 17], [17, 18], [18, 19], [19, 20], [20, 21], [21, 22], [22, 23], [23, 24], [1, 1]]), (4, [[0, 1], [1, 4], [1, 3], [1, 2], [2, 3], [3, 4], [1, 1]]), (5, [[0, 1], [1, 5], [1, 4], [1, 3], [2, 5], [1, 2], [3, 5], [2, 3], [3, 4], [4, 5], [1, 1]]), (7, [[0, 1], [1, 7], [1, 6], [1, 5], [1, 4], [2, 7], [1, 3], [2, 5], [3, 7], [1, 2], [4, 7], [3, 5], [2, 3], [5, 7], [3, 4], [4, 5], [5, 6], [6, 7], [1, 1]]), (8, [[0, 1], [1, 8], [1, 7], [1, 6], [1, 5], [1, 4], [2, 7], [1, 3], [3, 8], [2, 5], [3, 7], [1, 2], [4, 7], [3, 5], [5, 8], [2, 3], [5, 7], [3, 4], [4, 5], [5, 6], [6, 7], [7, 8], [1, 1]])], [(7, [[0, 1], [1, 7], [1, 6], [1, 5], [1, 4], [2, 7], [1, 3], [2, 5], [3, 7], [1, 2], [4, 7], [3, 5], [2, 3], [5, 7], [3, 4], [4, 5], [5, 6], [6, 7], [1, 1]]), (15, [[0, 1], [1, 15], [1, 14], [1, 13], [1, 12], [1, 11], [1, 10], [1, 9], [1, 8], [2, 15], [1, 7], [2, 13], [1, 6], [2, 11], [1, 5], [3, 14], [2, 9], [3, 13], [1, 4], [4, 15], [3, 11], [2, 7], [3, 10], [4, 13], [1, 3], [5, 14], [4, 11], [3, 8], [5, 13], [2, 5], [5, 12], [3, 7], [4, 9], [5, 11], [6, 13], [7, 15], [1, 2], [8, 15], [7, 13], [6, 11], [5, 9], [4, 7], [7, 12], [3, 5], [8, 13], [5, 8], [7, 11], [9, 14], [2, 3], [9, 13], [7, 10], [5, 7], [8, 11], [11, 15], [3, 4], [10, 13], [7, 9], [11, 14], [4, 5], [9, 11], [5, 6], [11, 13], [6, 7], [13, 15], [7, 8], [8, 9], [9, 10], [10, 11], [11, 12], [12, 13], [13, 14], [14, 15], [1, 1]]), (1, [[0, 1], [1, 1]]), (24, [[0, 1], [1, 24], [1, 23], [1, 22], [1, 21], [1, 20], [1, 19], [1, 18], [1, 17], [1, 16], [1, 15], [1, 14], [1, 13], [1, 12], [2, 23], [1, 11], [2, 21], [1, 10], [2, 19], [1, 9], [2, 17], [1, 8], [3, 23], [2, 15], [3, 22], [1, 7], [3, 20], [2, 13], [3, 19], [1, 6], [4, 23], [3, 17], [2, 11], [3, 16], [4, 21], [1, 5], [5, 24], [4, 19], [3, 14], [5, 23], [2, 9], [5, 22], [3, 13], [4, 17], [5, 21], [1, 4], [6, 23], [5, 19], [4, 15], [3, 11], [5, 18], [2, 7], [7, 24], [5, 17], [3, 10], [7, 23], [4, 13], [5, 16], [6, 19], [7, 22], [1, 3], [8, 23], [7, 20], [6, 17], [5, 14], [4, 11], [7, 19], [3, 8], [8, 21], [5, 13], [7, 18], [9, 23], [2, 5], [9, 22], [7, 17], [5, 12], [8, 19], [3, 7], [10, 23], [7, 16], [4, 9], [9, 20], [5, 11], [11, 24], [6, 13], [7, 15], [8, 17], [9, 19], [10, 21], [11, 23], [1, 2], [12, 23], [11, 21], [10, 19], [9, 17], [8, 15], [7, 13], [13, 24], [6, 11], [11, 20], [5, 9], [9, 16], [13, 23], [4, 7], [11, 19], [7, 12], [10, 17], [13, 22], [3, 5], [14, 23], [11, 18], [8, 13], [13, 21], [5, 8], [12, 19], [7, 11], [9, 14], [11, 17], [13, 20], [15, 23], [2, 3], [15, 22], [13, 19], [11, 16], [9, 13], [16, 23], [7, 10], [12, 17], [17, 24], [5, 7], [13, 18], [8, 11], [11, 15], [14, 19], [17, 23], [3, 4], [16, 21], [13, 17], [10, 13], [17, 22], [7, 9], [18, 23], [11, 14], [15, 19], [19, 24], [4, 5], [17, 21], [13, 16], [9, 11], [14, 17], [19, 23], [5, 6], [16, 19], [11, 13], [17, 20], [6, 7], [19, 22], [13, 15], [20, 23], [7, 8], [15, 17], [8, 9], [17, 19], [9, 10], [19, 21], [10, 11], [21, 23], [11, 12], [12, 13], [13, 14], [14, 15], [15, 16], [16, 17], [17, 18], [18, 19], [19, 20], [20, 21], [21, 22], [22, 23], [23, 24], [1, 1]]), (21, [[0, 1], [1, 21], [1, 20], [1, 19], [1, 18], [1, 17], [1, 16], [1, 15], [1, 14], [1, 13], [1, 12], [1, 11], [2, 21], [1, 10], [2, 19], [1, 9], [2, 17], [1, 8], [2, 15], [1, 7], [3, 20], [2, 13], [3, 19], [1, 6], [3, 17], [2, 11], [3, 16], [4, 21], [1, 5], [4, 19], [3, 14], [2, 9], [3, 13], [4, 17], [5, 21], [1, 4], [5, 19], [4, 15], [3, 11], [5, 18], [2, 7], [5, 17], [3, 10], [4, 13], [5, 16], [6, 19], [1, 3], [7, 20], [6, 17], [5, 14], [4, 11], [7, 19], [3, 8], [8, 21], [5, 13], [7, 18], [2, 5], [7, 17], [5, 12], [8, 19], [3, 7], [7, 16], [4, 9], [9, 20], [5, 11], [6, 13], [7, 15], [8, 17], [9, 19], [10, 21], [1, 2], [11, 21], [10, 19], [9, 17], [8, 15], [7, 13], [6, 11], [11, 20], [5, 9], [9, 16], [4, 7], [11, 19], [7, 12], [10, 17], [3, 5], [11, 18], [8, 13], [13, 21], [5, 8], [12, 19], [7, 11], [9, 14], [11, 17], [13, 20], [2, 3], [13, 19], [11, 16], [9, 13], [7, 10], [12, 17], [5, 7], [13, 18], [8, 11], [11, 15], [14, 19], [3, 4], [16, 21], [13, 17], [10, 13], [7, 9], [11, 14], [15, 19], [4, 5], [17, 21], [13, 16], [9, 11], [14, 17], [5, 6], [16, 19], [11, 13], [17, 20], [6, 7], [13, 15], [7, 8], [15, 17], [8, 9], [17, 19], [9, 10], [19, 21], [10, 11], [11, 12], [12, 13], [13, 14], [14, 15], [15, 16], [16, 17], [17, 18], [18, 19], [19, 20], [20, 21], [1, 1]]), (22, [[0, 1], [1, 22], [1, 21], [1, 20], [1, 19], [1, 18], [1, 17], [1, 16], [1, 15], [1, 14], [1, 13], [1, 12], [1, 11], [2, 21], [1, 10], [2, 19], [1, 9], [2, 17], [1, 8], [2, 15], [3, 22], [1, 7], [3, 20], [2, 13], [3, 19], [1, 6], [3, 17], [2, 11], [3, 16], [4, 21], [1, 5], [4, 19], [3, 14], [2, 9], [5, 22], [3, 13], [4, 17], [5, 21], [1, 4], [5, 19], [4, 15], [3, 11], [5, 18], [2, 7], [5, 17], [3, 10], [4, 13], [5, 16], [6, 19], [7, 22], [1, 3], [7, 20], [6, 17], [5, 14], [4, 11], [7, 19], [3, 8], [8, 21], [5, 13], [7, 18], [2, 5], [9, 22], [7, 17], [5, 12], [8, 19], [3, 7], [7, 16], [4, 9], [9, 20], [5, 11], [6, 13], [7, 15], [8, 17], [9, 19], [10, 21], [1, 2], [11, 21], [10, 19], [9, 17], [8, 15], [7, 13], [6, 11], [11, 20], [5, 9], [9, 16], [4, 7], [11, 19], [7, 12], [10, 17], [13, 22], [3, 5], [11, 18], [8, 13], [13, 21], [5, 8], [12, 19], [7, 11], [9, 14], [11, 17], [13, 20], [2, 3], [15, 22], [13, 19], [11, 16], [9, 13], [7, 10], [12, 17], [5, 7], [13, 18], [8, 11], [11, 15], [14, 19], [3, 4], [16, 21], [13, 17], [10, 13], [17, 22], [7, 9], [11, 14], [15, 19], [4, 5], [17, 21], [13, 16], [9, 11], [14, 17], [5, 6], [16, 19], [11, 13], [17, 20], [6, 7], [19, 22], [13, 15], [7, 8], [15, 17], [8, 9], [17, 19], [9, 10], [19, 21], [10, 11], [11, 12], [12, 13], [13, 14], [14, 15], [15, 16], [16, 17], [17, 18], [18, 19], [19, 20], [20, 21], [21, 22], [1, 1]]), (23, [[0, 1], [1, 23], [1, 22], [1, 21], [1, 20], [1, 19], [1, 18], [1, 17], [1, 16], [1, 15], [1, 14], [1, 13], [1, 12], [2, 23], [1, 11], [2, 21], [1, 10], [2, 19], [1, 9], [2, 17], [1, 8], [3, 23], [2, 15], [3, 22], [1, 7], [3, 20], [2, 13], [3, 19], [1, 6], [4, 23], [3, 17], [2, 11], [3, 16], [4, 21], [1, 5], [4, 19], [3, 14], [5, 23], [2, 9], [5, 22], [3, 13], [4, 17], [5, 21], [1, 4], [6, 23], [5, 19], [4, 15], [3, 11], [5, 18], [2, 7], [5, 17], [3, 10], [7, 23], [4, 13], [5, 16], [6, 19], [7, 22], [1, 3], [8, 23], [7, 20], [6, 17], [5, 14], [4, 11], [7, 19], [3, 8], [8, 21], [5, 13], [7, 18], [9, 23], [2, 5], [9, 22], [7, 17], [5, 12], [8, 19], [3, 7], [10, 23], [7, 16], [4, 9], [9, 20], [5, 11], [6, 13], [7, 15], [8, 17], [9, 19], [10, 21], [11, 23], [1, 2], [12, 23], [11, 21], [10, 19], [9, 17], [8, 15], [7, 13], [6, 11], [11, 20], [5, 9], [9, 16], [13, 23], [4, 7], [11, 19], [7, 12], [10, 17], [13, 22], [3, 5], [14, 23], [11, 18], [8, 13], [13, 21], [5, 8], [12, 19], [7, 11], [9, 14], [11, 17], [13, 20], [15, 23], [2, 3], [15, 22], [13, 19], [11, 16], [9, 13], [16, 23], [7, 10], [12, 17], [5, 7], [13, 18], [8, 11], [11, 15], [14, 19], [17, 23], [3, 4], [16, 21], [13, 17], [10, 13], [17, 22], [7, 9], [18, 23], [11, 14], [15, 19], [4, 5], [17, 21], [13, 16], [9, 11], [14, 17], [19, 23], [5, 6], [16, 19], [11, 13], [17, 20], [6, 7], [19, 22], [13, 15], [20, 23], [7, 8], [15, 17], [8, 9], [17, 19], [9, 10], [19, 21], [10, 11], [21, 23], [11, 12], [12, 13], [13, 14], [14, 15], [15, 16], [16, 17], [17, 18], [18, 19], [19, 20], [20, 21], [21, 22], [22, 23], [1, 1]]), (2, [[0, 1], [1, 2], [1, 1]])]]\nfor i, (args, expected) in enumerate(fixtures[N-1]):\n    check(\"explicit oracle %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":"c08bebf578bb0fc337c27fe1b850fccb32b35dd9b20d875fc81b3fe8925537c4","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nimport itertools\nfrom fractions import Fraction\nN = 1\nobservations = []\ndef solve(x):\n    n=x\n    a,b,c,d=0,1,1,n\n    out=[[0,1]]\n    for _ in range(500):\n     if c>n: break\n     out.append([c,d])\n     if d<=0: return None\n     k=(n+b)//d\n     a,b,c,d=c,d,k*c-a,k*d-b\n     if a==1 and b==1: break\n    return out\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[(3, [[0, 1], [1, 3], [1, 2], [2, 3], [1, 1]]), (1, [[0, 1], [1, 1]]), (24, [[0, 1], [1, 24], [1, 23], [1, 22], [1, 21], [1, 20], [1, 19], [1, 18], [1, 17], [1, 16], [1, 15], [1, 14], [1, 13], [1, 12], [2, 23], [1, 11], [2, 21], [1, 10], [2, 19], [1, 9], [2, 17], [1, 8], [3, 23], [2, 15], [3, 22], [1, 7], [3, 20], [2, 13], [3, 19], [1, 6], [4, 23], [3, 17], [2, 11], [3, 16], [4, 21], [1, 5], [5, 24], [4, 19], [3, 14], [5, 23], [2, 9], [5, 22], [3, 13], [4, 17], [5, 21], [1, 4], [6, 23], [5, 19], [4, 15], [3, 11], [5, 18], [2, 7], [7, 24], [5, 17], [3, 10], [7, 23], [4, 13], [5, 16], [6, 19], [7, 22], [1, 3], [8, 23], [7, 20], [6, 17], [5, 14], [4, 11], [7, 19], [3, 8], [8, 21], [5, 13], [7, 18], [9, 23], [2, 5], [9, 22], [7, 17], [5, 12], [8, 19], [3, 7], [10, 23], [7, 16], [4, 9], [9, 20], [5, 11], [11, 24], [6, 13], [7, 15], [8, 17], [9, 19], [10, 21], [11, 23], [1, 2], [12, 23], [11, 21], [10, 19], [9, 17], [8, 15], [7, 13], [13, 24], [6, 11], [11, 20], [5, 9], [9, 16], [13, 23], [4, 7], [11, 19], [7, 12], [10, 17], [13, 22], [3, 5], [14, 23], [11, 18], [8, 13], [13, 21], [5, 8], [12, 19], [7, 11], [9, 14], [11, 17], [13, 20], [15, 23], [2, 3], [15, 22], [13, 19], [11, 16], [9, 13], [16, 23], [7, 10], [12, 17], [17, 24], [5, 7], [13, 18], [8, 11], [11, 15], [14, 19], [17, 23], [3, 4], [16, 21], [13, 17], [10, 13], [17, 22], [7, 9], [18, 23], [11, 14], [15, 19], [19, 24], [4, 5], [17, 21], [13, 16], [9, 11], [14, 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22], [13, 19], [11, 16], [9, 13], [16, 23], [7, 10], [12, 17], [5, 7], [13, 18], [8, 11], [11, 15], [14, 19], [17, 23], [3, 4], [16, 21], [13, 17], [10, 13], [17, 22], [7, 9], [18, 23], [11, 14], [15, 19], [4, 5], [17, 21], [13, 16], [9, 11], [14, 17], [19, 23], [5, 6], [16, 19], [11, 13], [17, 20], [6, 7], [19, 22], [13, 15], [20, 23], [7, 8], [15, 17], [8, 9], [17, 19], [9, 10], [19, 21], [10, 11], [21, 23], [11, 12], [12, 13], [13, 14], [14, 15], [15, 16], [16, 17], [17, 18], [18, 19], [19, 20], [20, 21], [21, 22], [22, 23], [1, 1]]), (2, [[0, 1], [1, 2], [1, 1]])]]\nfor i, (args, expected) in enumerate(fixtures[N-1]):\n    check(\"explicit oracle %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":"A deterministic bounded teaching model. Inputs are restricted to the explicit contract; this is not a production algebra library. 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":"s3-numerics-farey-successor-sequence-neighbor-quotient","generated_at":"2026-09-29T14:39:17.432673+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Exact discrete arithmetic with observable algorithmic state; no floating point approximation is used.","repair":"Use (n+b)//d at the neighbor quotient step.","root_cause":"The neighbor quotient step uses n//d instead of (n+b)//d.","sha256":"89c6013284178731c42854accc8cf54fe48abc74b9ac43df987c3fc559e5844d","title":"Farey successor sequence: neighbor quotient · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":52.344,"exit_code":1,"observations":[{"actual":[[0,1],[1,3],[1,2],[1,1]],"check":"explicit oracle 0","expected":[[0,1],[1,3],[1,2],[2,3],[1,1]],"passed":false},{"actual":[[0,1],[1,1]],"check":"explicit oracle 1","expected":[[0,1],[1,1]],"passed":true},{"actual":[[0,1],[1,24],[1,23],[1,22],[1,21],[1,20],[1,19],[1,18],[1,17],[1,16],[1,15],[1,14],[1,13],[1,12],[2,23],[1,11],[2,21],[1,10],[2,19],[1,9],[2,17],[1,8],[3,23],[2,15],[3,22],[1,7],[3,20],[2,13],[3,19],[1,6],[4,23],[3,17],[2,11],[3,16],[4,21],[1,5],[4,19],[3,14],[5,23],[2,9],[5,22],[3,13],[4,17],[5,21],[1,4],[6,23],[5,19],[4,15],[3,11],[5,18],[2,7],[5,17],[3,10],[7,23],[4,13],[5,16],[6,19],[7,22],[1,3],[8,23],[7,20],[6,17],[5,14],[4,11],[7,19],[3,8],[8,21],[5,13],[7,18],[9,23],[2,5],[9,22],[7,17],[5,12],[8,19],[3,7],[10,23],[7,16],[4,9],[9,20],[5,11],[6,13],[7,15],[8,17],[9,19],[10,21],[11,23],[1,2],[12,23],[11,21],[10,19],[9,17],[8,15],[7,13],[6,11],[11,20],[5,9],[9,16],[13,23],[4,7],[11,19],[7,12],[10,17],[13,22],[3,5],[14,23],[11,18],[8,13],[13,21],[5,8],[12,19],[7,11],[9,14],[11,17],[13,20],[15,23],[2,3],[15,22],[13,19],[11,16],[9,13],[16,23],[7,10],[12,17],[5,7],[13,18],[8,11],[11,15],[14,19],[17,23],[3,4],[16,21],[13,17],[10,13],[17,22],[7,9],[18,23],[11,14],[15,19],[4,5],[17,21],[13,16],[9,11],[14,17],[19,23],[5,6],[16,19],[11,13],[17,20],[6,7],[19,22],[13,15],[20,23],[7,8],[15,17],[8,9],[17,19],[9,10],[19,21],[10,11],[21,23],[11,12],[12,13],[13,14],[14,15],[15,16],[16,17],[17,18],[18,19],[19,20],[20,21],[21,22],[22,23],[1,1]],"check":"explicit oracle 2","expected":[[0,1],[1,24],[1,23],[1,22],[1,21],[1,20],[1,19],[1,18],[1,17],[1,16],[1,15],[1,14],[1,13],[1,12],[2,23],[1,11],[2,21],[1,10],[2,19],[1,9],[2,17],[1,8],[3,23],[2,15],[3,22],[1,7],[3,20],[2,13],[3,19],[1,6],[4,23],[3,17],[2,11],[3,16],[4,21],[1,5],[5,24],[4,19],[3,14],[5,23],[2,9],[5,22],[3,13],[4,17],[5,21],[1,4],[6,23],[5,19],[4,15],[3,11],[5,18],[2,7],[7,24],[5,17],[3,10],[7,23],[4,13],[5,16],[6,19],[7,22],[1,3],[8,23],[7,20],[6,17],[5,14],[4,11],[7,19],[3,8],[8,21],[5,13],[7,18],[9,23],[2,5],[9,22],[7,17],[5,12],[8,19],[3,7],[10,23],[7,16],[4,9],[9,20],[5,11],[11,24],[6,13],[7,15],[8,17],[9,19],[10,21],[11,23],[1,2],[12,23],[11,21],[10,19],[9,17],[8,15],[7,13],[13,24],[6,11],[11,20],[5,9],[9,16],[13,23],[4,7],[11,19],[7,12],[10,17],[13,22],[3,5],[14,23],[11,18],[8,13],[13,21],[5,8],[12,19],[7,11],[9,14],[11,17],[13,20],[15,23],[2,3],[15,22],[13,19],[11,16],[9,13],[16,23],[7,10],[12,17],[17,24],[5,7],[13,18],[8,11],[11,15],[14,19],[17,23],[3,4],[16,21],[13,17],[10,13],[17,22],[7,9],[18,23],[11,14],[15,19],[19,24],[4,5],[17,21],[13,16],[9,11],[14,17],[19,23],[5,6],[16,19],[11,13],[17,20],[6,7],[19,22],[13,15],[20,23],[7,8],[15,17],[8,9],[17,19],[9,10],[19,21],[10,11],[21,23],[11,12],[12,13],[13,14],[14,15],[15,16],[16,17],[17,18],[18,19],[19,20],[20,21],[21,22],[22,23],[23,24],[1,1]],"passed":false},{"actual":[[0,1],[1,2],[1,1]],"check":"explicit oracle 3","expected":[[0,1],[1,2],[1,1]],"passed":true},{"actual":[[0,1],[1,4],[1,3],[1,2],[2,3],[1,1]],"check":"explicit oracle 4","expected":[[0,1],[1,4],[1,3],[1,2],[2,3],[3,4],[1,1]],"passed":false},{"actual":[[0,1],[1,5],[1,4],[1,3],[1,2],[2,3],[3,4],[1,1]],"check":"explicit oracle 5","expected":[[0,1],[1,5],[1,4],[1,3],[2,5],[1,2],[3,5],[2,3],[3,4],[4,5],[1,1]],"passed":false},{"actual":[[0,1],[1,6],[1,5],[1,4],[1,3],[2,5],[1,2],[3,5],[2,3],[3,4],[4,5],[1,1]],"check":"explicit oracle 6","expected":[[0,1],[1,6],[1,5],[1,4],[1,3],[2,5],[1,2],[3,5],[2,3],[3,4],[4,5],[5,6],[1,1]],"passed":false},{"actual":[[0,1],[1,7],[1,6],[1,5],[1,4],[1,3],[2,5],[1,2],[3,5],[2,3],[3,4],[4,5],[5,6],[1,1]],"check":"explicit oracle 7","expected":[[0,1],[1,7],[1,6],[1,5],[1,4],[2,7],[1,3],[2,5],[3,7],[1,2],[4,7],[3,5],[2,3],[5,7],[3,4],[4,5],[5,6],[6,7],[1,1]],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"explicit oracle 0\", \"actual\": [[0, 1], [1, 3], [1, 2], [1, 1]], \"expected\": [[0, 1], [1, 3], [1, 2], [2, 3], [1, 1]], \"passed\": false}, {\"check\": \"explicit oracle 1\", \"actual\": [[0, 1], [1, 1]], \"expected\": [[0, 1], [1, 1]], \"passed\": true}, {\"check\": \"explicit oracle 2\", \"actual\": [[0, 1], [1, 24], [1, 23], [1, 22], [1, 21], [1, 20], [1, 19], [1, 18], [1, 17], [1, 16], [1, 15], [1, 14], [1, 13], [1, 12], [2, 23], [1, 11], [2, 21], [1, 10], [2, 19], [1, 9], [2, 17], [1, 8], [3, 23], [2, 15], [3, 22], [1, 7], [3, 20], [2, 13], [3, 19], [1, 6], [4, 23], [3, 17], [2, 11], [3, 16], [4, 21], [1, 5], [4, 19], [3, 14], [5, 23], [2, 9], [5, 22], [3, 13], [4, 17], [5, 21], [1, 4], [6, 23], [5, 19], [4, 15], [3, 11], [5, 18], [2, 7], [5, 17], [3, 10], [7, 23], [4, 13], [5, 16], [6, 19], [7, 22], [1, 3], [8, 23], [7, 20], [6, 17], [5, 14], [4, 11], [7, 19], [3, 8], [8, 21], [5, 13], [7, 18], [9, 23], [2, 5], [9, 22], [7, 17], [5, 12], [8, 19], [3, 7], [10, 23], [7, 16], [4, 9], [9, 20], [5, 11], [6, 13], [7, 15], [8, 17], [9, 19], [10, 21], [11, 23], [1, 2], [12, 23], [11, 21], [10, 19], [9, 17], [8, 15], [7, 13], [6, 11], [11, 20], [5, 9], [9, 16], [13, 23], [4, 7], [11, 19], [7, 12], [10, 17], [13, 22], [3, 5], [14, 23], [11, 18], [8, 13], [13, 21], [5, 8], [12, 19], [7, 11], [9, 14], [11, 17], [13, 20], [15, 23], [2, 3], [15, 22], [13, 19], [11, 16], [9, 13], [16, 23], [7, 10], [12, 17], [5, 7], [13, 18], [8, 11], [11, 15], [14, 19], [17, 23], [3, 4], [16, 21], [13, 17], [10, 13], [17, 22], [7, 9], [18, 23], [11, 14], [15, 19], [4, 5], [17, 21], [13, 16], [9, 11], [14, 17], [19, 23], [5, 6], [16, 19], [11, 13], [17, 20], [6, 7], [19, 22], [13, 15], [20, 23], [7, 8], [15, 17], [8, 9], [17, 19], [9, 10], [19, 21], [10, 11], [21, 23], [11, 12], [12, 13], [13, 14], [14, 15], [15, 16], [16, 17], [17, 18], [18, 19], [19, 20], [20, 21], [21, 22], [22, 23], [1, 1]], \"expected\": [[0, 1], [1, 24], [1, 23], [1, 22], [1, 21], [1, 20], [1, 19], [1, 18], [1, 17], [1, 16], [1, 15], [1, 14], [1, 13], [1, 12], [2, 23], [1, 11], [2, 21], [1, 10], [2, 19], [1, 9], [2, 17], [1, 8], [3, 23], [2, 15], [3, 22], [1, 7], [3, 20], [2, 13], [3, 19], [1, 6], [4, 23], [3, 17], [2, 11], [3, 16], [4, 21], [1, 5], [5, 24], [4, 19], [3, 14], [5, 23], [2, 9], [5, 22], [3, 13], [4, 17], [5, 21], [1, 4], [6, 23], [5, 19], [4, 15], [3, 11], [5, 18], [2, 7], [7, 24], [5, 17], [3, 10], [7, 23], [4, 13], [5, 16], [6, 19], [7, 22], [1, 3], [8, 23], [7, 20], [6, 17], [5, 14], [4, 11], [7, 19], [3, 8], [8, 21], [5, 13], [7, 18], [9, 23], [2, 5], [9, 22], [7, 17], [5, 12], [8, 19], [3, 7], [10, 23], [7, 16], [4, 9], [9, 20], [5, 11], [11, 24], [6, 13], [7, 15], [8, 17], [9, 19], [10, 21], [11, 23], [1, 2], [12, 23], [11, 21], [10, 19], [9, 17], [8, 15], [7, 13], [13, 24], [6, 11], [11, 20], [5, 9], [9, 16], [13, 23], [4, 7], [11, 19], [7, 12], [10, 17], [13, 22], [3, 5], [14, 23], [11, 18], [8, 13], [13, 21], [5, 8], [12, 19], [7, 11], [9, 14], [11, 17], [13, 20], [15, 23], [2, 3], [15, 22], [13, 19], [11, 16], [9, 13], [16, 23], [7, 10], [12, 17], [17, 24], [5, 7], [13, 18], [8, 11], [11, 15], [14, 19], [17, 23], [3, 4], [16, 21], [13, 17], [10, 13], [17, 22], [7, 9], [18, 23], [11, 14], [15, 19], [19, 24], [4, 5], [17, 21], [13, 16], [9, 11], [14, 17], [19, 23], [5, 6], [16, 19], [11, 13], [17, 20], [6, 7], [19, 22], [13, 15], [20, 23], [7, 8], [15, 17], [8, 9], [17, 19], [9, 10], [19, 21], [10, 11], [21, 23], [11, 12], [12, 13], [13, 14], [14, 15], [15, 16], [16, 17], [17, 18], [18, 19], [19, 20], [20, 21], [21, 22], [22, 23], [23, 24], [1, 1]], \"passed\": false}, {\"check\": \"explicit oracle 3\", \"actual\": [[0, 1], [1, 2], [1, 1]], \"expected\": [[0, 1], [1, 2], [1, 1]], \"passed\": true}, {\"check\": \"explicit oracle 4\", \"actual\": [[0, 1], [1, 4], [1, 3], [1, 2], [2, 3], [1, 1]], \"expected\": [[0, 1], [1, 4], [1, 3], [1, 2], [2, 3], [3, 4], [1, 1]], \"passed\": false}, {\"check\": \"explicit oracle 5\", \"actual\": [[0, 1], [1, 5], [1, 4], [1, 3], [1, 2], [2, 3], [3, 4], [1, 1]], \"expected\": [[0, 1], [1, 5], [1, 4], [1, 3], [2, 5], [1, 2], [3, 5], [2, 3], [3, 4], [4, 5], [1, 1]], \"passed\": false}, {\"check\": \"explicit oracle 6\", \"actual\": [[0, 1], [1, 6], [1, 5], [1, 4], [1, 3], [2, 5], [1, 2], [3, 5], [2, 3], [3, 4], [4, 5], [1, 1]], \"expected\": [[0, 1], [1, 6], [1, 5], [1, 4], [1, 3], [2, 5], [1, 2], [3, 5], [2, 3], [3, 4], [4, 5], [5, 6], [1, 1]], \"passed\": false}, {\"check\": \"explicit oracle 7\", \"actual\": [[0, 1], [1, 7], [1, 6], [1, 5], [1, 4], [1, 3], [2, 5], [1, 2], [3, 5], [2, 3], [3, 4], [4, 5], [5, 6], [1, 1]], \"expected\": [[0, 1], [1, 7], [1, 6], [1, 5], [1, 4], [2, 7], [1, 3], [2, 5], [3, 7], [1, 2], [4, 7], [3, 5], [2, 3], [5, 7], [3, 4], [4, 5], [5, 6], [6, 7], [1, 1]], \"passed\": false}], \"passed\": false}\n"},"broken":{"elapsed_ms":50.603,"exit_code":1,"observations":[{"actual":null,"check":"explicit oracle 0","expected":[[0,1],[1,3],[1,2],[2,3],[1,1]],"passed":false},{"actual":[[0,1],[1,1]],"check":"explicit oracle 1","expected":[[0,1],[1,1]],"passed":true},{"actual":null,"check":"explicit oracle 2","expected":[[0,1],[1,24],[1,23],[1,22],[1,21],[1,20],[1,19],[1,18],[1,17],[1,16],[1,15],[1,14],[1,13],[1,12],[2,23],[1,11],[2,21],[1,10],[2,19],[1,9],[2,17],[1,8],[3,23],[2,15],[3,22],[1,7],[3,20],[2,13],[3,19],[1,6],[4,23],[3,17],[2,11],[3,16],[4,21],[1,5],[5,24],[4,19],[3,14],[5,23],[2,9],[5,22],[3,13],[4,17],[5,21],[1,4],[6,23],[5,19],[4,15],[3,11],[5,18],[2,7],[7,24],[5,17],[3,10],[7,23],[4,13],[5,16],[6,19],[7,22],[1,3],[8,23],[7,20],[6,17],[5,14],[4,11],[7,19],[3,8],[8,21],[5,13],[7,18],[9,23],[2,5],[9,22],[7,17],[5,12],[8,19],[3,7],[10,23],[7,16],[4,9],[9,20],[5,11],[11,24],[6,13],[7,15],[8,17],[9,19],[10,21],[11,23],[1,2],[12,23],[11,21],[10,19],[9,17],[8,15],[7,13],[13,24],[6,11],[11,20],[5,9],[9,16],[13,23],[4,7],[11,19],[7,12],[10,17],[13,22],[3,5],[14,23],[11,18],[8,13],[13,21],[5,8],[12,19],[7,11],[9,14],[11,17],[13,20],[15,23],[2,3],[15,22],[13,19],[11,16],[9,13],[16,23],[7,10],[12,17],[17,24],[5,7],[13,18],[8,11],[11,15],[14,19],[17,23],[3,4],[16,21],[13,17],[10,13],[17,22],[7,9],[18,23],[11,14],[15,19],[19,24],[4,5],[17,21],[13,16],[9,11],[14,17],[19,23],[5,6],[16,19],[11,13],[17,20],[6,7],[19,22],[13,15],[20,23],[7,8],[15,17],[8,9],[17,19],[9,10],[19,21],[10,11],[21,23],[11,12],[12,13],[13,14],[14,15],[15,16],[16,17],[17,18],[18,19],[19,20],[20,21],[21,22],[22,23],[23,24],[1,1]],"passed":false},{"actual":[[0,1],[1,2],[1,1]],"check":"explicit oracle 3","expected":[[0,1],[1,2],[1,1]],"passed":true},{"actual":null,"check":"explicit oracle 4","expected":[[0,1],[1,4],[1,3],[1,2],[2,3],[3,4],[1,1]],"passed":false},{"actual":null,"check":"explicit oracle 5","expected":[[0,1],[1,5],[1,4],[1,3],[2,5],[1,2],[3,5],[2,3],[3,4],[4,5],[1,1]],"passed":false},{"actual":null,"check":"explicit oracle 6","expected":[[0,1],[1,6],[1,5],[1,4],[1,3],[2,5],[1,2],[3,5],[2,3],[3,4],[4,5],[5,6],[1,1]],"passed":false},{"actual":null,"check":"explicit oracle 7","expected":[[0,1],[1,7],[1,6],[1,5],[1,4],[2,7],[1,3],[2,5],[3,7],[1,2],[4,7],[3,5],[2,3],[5,7],[3,4],[4,5],[5,6],[6,7],[1,1]],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"explicit oracle 0\", \"actual\": null, \"expected\": [[0, 1], [1, 3], [1, 2], [2, 3], [1, 1]], \"passed\": false}, {\"check\": \"explicit oracle 1\", \"actual\": [[0, 1], [1, 1]], \"expected\": [[0, 1], [1, 1]], \"passed\": true}, {\"check\": \"explicit oracle 2\", \"actual\": null, \"expected\": [[0, 1], [1, 24], [1, 23], [1, 22], [1, 21], [1, 20], [1, 19], [1, 18], [1, 17], [1, 16], [1, 15], [1, 14], [1, 13], [1, 12], [2, 23], [1, 11], [2, 21], [1, 10], [2, 19], [1, 9], [2, 17], [1, 8], [3, 23], [2, 15], [3, 22], [1, 7], [3, 20], [2, 13], [3, 19], [1, 6], [4, 23], [3, 17], [2, 11], [3, 16], [4, 21], [1, 5], [5, 24], [4, 19], [3, 14], [5, 23], [2, 9], [5, 22], [3, 13], [4, 17], [5, 21], [1, 4], [6, 23], [5, 19], [4, 15], [3, 11], [5, 18], [2, 7], [7, 24], [5, 17], [3, 10], [7, 23], [4, 13], [5, 16], [6, 19], [7, 22], [1, 3], [8, 23], [7, 20], [6, 17], [5, 14], [4, 11], [7, 19], [3, 8], [8, 21], [5, 13], [7, 18], [9, 23], [2, 5], [9, 22], [7, 17], [5, 12], [8, 19], [3, 7], [10, 23], [7, 16], [4, 9], [9, 20], [5, 11], [11, 24], [6, 13], [7, 15], [8, 17], [9, 19], [10, 21], [11, 23], [1, 2], [12, 23], [11, 21], [10, 19], [9, 17], [8, 15], [7, 13], [13, 24], [6, 11], [11, 20], [5, 9], [9, 16], [13, 23], [4, 7], [11, 19], [7, 12], [10, 17], [13, 22], [3, 5], [14, 23], [11, 18], [8, 13], [13, 21], [5, 8], [12, 19], [7, 11], [9, 14], [11, 17], [13, 20], [15, 23], [2, 3], [15, 22], [13, 19], [11, 16], [9, 13], [16, 23], [7, 10], [12, 17], [17, 24], [5, 7], [13, 18], [8, 11], [11, 15], [14, 19], [17, 23], [3, 4], [16, 21], [13, 17], [10, 13], [17, 22], [7, 9], [18, 23], [11, 14], [15, 19], [19, 24], [4, 5], [17, 21], [13, 16], [9, 11], [14, 17], [19, 23], [5, 6], [16, 19], [11, 13], [17, 20], [6, 7], [19, 22], [13, 15], [20, 23], [7, 8], [15, 17], [8, 9], [17, 19], [9, 10], [19, 21], [10, 11], [21, 23], [11, 12], [12, 13], [13, 14], [14, 15], [15, 16], [16, 17], [17, 18], [18, 19], [19, 20], [20, 21], [21, 22], [22, 23], [23, 24], [1, 1]], \"passed\": false}, {\"check\": \"explicit oracle 3\", \"actual\": [[0, 1], [1, 2], [1, 1]], \"expected\": [[0, 1], [1, 2], [1, 1]], \"passed\": true}, {\"check\": \"explicit oracle 4\", \"actual\": null, \"expected\": [[0, 1], [1, 4], [1, 3], [1, 2], [2, 3], [3, 4], [1, 1]], \"passed\": false}, {\"check\": \"explicit oracle 5\", \"actual\": null, \"expected\": [[0, 1], [1, 5], [1, 4], [1, 3], [2, 5], [1, 2], [3, 5], [2, 3], [3, 4], [4, 5], [1, 1]], \"passed\": false}, {\"check\": \"explicit oracle 6\", \"actual\": null, \"expected\": [[0, 1], [1, 6], [1, 5], [1, 4], [1, 3], [2, 5], [1, 2], [3, 5], [2, 3], [3, 4], [4, 5], [5, 6], [1, 1]], \"passed\": false}, {\"check\": \"explicit oracle 7\", \"actual\": null, \"expected\": [[0, 1], [1, 7], [1, 6], [1, 5], [1, 4], [2, 7], [1, 3], [2, 5], [3, 7], [1, 2], [4, 7], [3, 5], [2, 3], [5, 7], [3, 4], [4, 5], [5, 6], [6, 7], [1, 1]], \"passed\": false}], \"passed\": false}\n"},"fixed":{"elapsed_ms":51.191,"exit_code":0,"observations":[{"actual":[[0,1],[1,3],[1,2],[2,3],[1,1]],"check":"explicit oracle 0","expected":[[0,1],[1,3],[1,2],[2,3],[1,1]],"passed":true},{"actual":[[0,1],[1,1]],"check":"explicit oracle 1","expected":[[0,1],[1,1]],"passed":true},{"actual":[[0,1],[1,24],[1,23],[1,22],[1,21],[1,20],[1,19],[1,18],[1,17],[1,16],[1,15],[1,14],[1,13],[1,12],[2,23],[1,11],[2,21],[1,10],[2,19],[1,9],[2,17],[1,8],[3,23],[2,15],[3,22],[1,7],[3,20],[2,13],[3,19],[1,6],[4,23],[3,17],[2,11],[3,16],[4,21],[1,5],[5,24],[4,19],[3,14],[5,23],[2,9],[5,22],[3,13],[4,17],[5,21],[1,4],[6,23],[5,19],[4,15],[3,11],[5,18],[2,7],[7,24],[5,17],[3,10],[7,23],[4,13],[5,16],[6,19],[7,22],[1,3],[8,23],[7,20],[6,17],[5,14],[4,11],[7,19],[3,8],[8,21],[5,13],[7,18],[9,23],[2,5],[9,22],[7,17],[5,12],[8,19],[3,7],[10,23],[7,16],[4,9],[9,20],[5,11],[11,24],[6,13],[7,15],[8,17],[9,19],[10,21],[11,23],[1,2],[12,23],[11,21],[10,19],[9,17],[8,15],[7,13],[13,24],[6,11],[11,20],[5,9],[9,16],[13,23],[4,7],[11,19],[7,12],[10,17],[13,22],[3,5],[14,23],[11,18],[8,13],[13,21],[5,8],[12,19],[7,11],[9,14],[11,17],[13,20],[15,23],[2,3],[15,22],[13,19],[11,16],[9,13],[16,23],[7,10],[12,17],[17,24],[5,7],[13,18],[8,11],[11,15],[14,19],[17,23],[3,4],[16,21],[13,17],[10,13],[17,22],[7,9],[18,23],[11,14],[15,19],[19,24],[4,5],[17,21],[13,16],[9,11],[14,17],[19,23],[5,6],[16,19],[11,13],[17,20],[6,7],[19,22],[13,15],[20,23],[7,8],[15,17],[8,9],[17,19],[9,10],[19,21],[10,11],[21,23],[11,12],[12,13],[13,14],[14,15],[15,16],[16,17],[17,18],[18,19],[19,20],[20,21],[21,22],[22,23],[23,24],[1,1]],"check":"explicit oracle 2","expected":[[0,1],[1,24],[1,23],[1,22],[1,21],[1,20],[1,19],[1,18],[1,17],[1,16],[1,15],[1,14],[1,13],[1,12],[2,23],[1,11],[2,21],[1,10],[2,19],[1,9],[2,17],[1,8],[3,23],[2,15],[3,22],[1,7],[3,20],[2,13],[3,19],[1,6],[4,23],[3,17],[2,11],[3,16],[4,21],[1,5],[5,24],[4,19],[3,14],[5,23],[2,9],[5,22],[3,13],[4,17],[5,21],[1,4],[6,23],[5,19],[4,15],[3,11],[5,18],[2,7],[7,24],[5,17],[3,10],[7,23],[4,13],[5,16],[6,19],[7,22],[1,3],[8,23],[7,20],[6,17],[5,14],[4,11],[7,19],[3,8],[8,21],[5,13],[7,18],[9,23],[2,5],[9,22],[7,17],[5,12],[8,19],[3,7],[10,23],[7,16],[4,9],[9,20],[5,11],[11,24],[6,13],[7,15],[8,17],[9,19],[10,21],[11,23],[1,2],[12,23],[11,21],[10,19],[9,17],[8,15],[7,13],[13,24],[6,11],[11,20],[5,9],[9,16],[13,23],[4,7],[11,19],[7,12],[10,17],[13,22],[3,5],[14,23],[11,18],[8,13],[13,21],[5,8],[12,19],[7,11],[9,14],[11,17],[13,20],[15,23],[2,3],[15,22],[13,19],[11,16],[9,13],[16,23],[7,10],[12,17],[17,24],[5,7],[13,18],[8,11],[11,15],[14,19],[17,23],[3,4],[16,21],[13,17],[10,13],[17,22],[7,9],[18,23],[11,14],[15,19],[19,24],[4,5],[17,21],[13,16],[9,11],[14,17],[19,23],[5,6],[16,19],[11,13],[17,20],[6,7],[19,22],[13,15],[20,23],[7,8],[15,17],[8,9],[17,19],[9,10],[19,21],[10,11],[21,23],[11,12],[12,13],[13,14],[14,15],[15,16],[16,17],[17,18],[18,19],[19,20],[20,21],[21,22],[22,23],[23,24],[1,1]],"passed":true},{"actual":[[0,1],[1,2],[1,1]],"check":"explicit oracle 3","expected":[[0,1],[1,2],[1,1]],"passed":true},{"actual":[[0,1],[1,4],[1,3],[1,2],[2,3],[3,4],[1,1]],"check":"explicit oracle 4","expected":[[0,1],[1,4],[1,3],[1,2],[2,3],[3,4],[1,1]],"passed":true},{"actual":[[0,1],[1,5],[1,4],[1,3],[2,5],[1,2],[3,5],[2,3],[3,4],[4,5],[1,1]],"check":"explicit oracle 5","expected":[[0,1],[1,5],[1,4],[1,3],[2,5],[1,2],[3,5],[2,3],[3,4],[4,5],[1,1]],"passed":true},{"actual":[[0,1],[1,6],[1,5],[1,4],[1,3],[2,5],[1,2],[3,5],[2,3],[3,4],[4,5],[5,6],[1,1]],"check":"explicit oracle 6","expected":[[0,1],[1,6],[1,5],[1,4],[1,3],[2,5],[1,2],[3,5],[2,3],[3,4],[4,5],[5,6],[1,1]],"passed":true},{"actual":[[0,1],[1,7],[1,6],[1,5],[1,4],[2,7],[1,3],[2,5],[3,7],[1,2],[4,7],[3,5],[2,3],[5,7],[3,4],[4,5],[5,6],[6,7],[1,1]],"check":"explicit oracle 7","expected":[[0,1],[1,7],[1,6],[1,5],[1,4],[2,7],[1,3],[2,5],[3,7],[1,2],[4,7],[3,5],[2,3],[5,7],[3,4],[4,5],[5,6],[6,7],[1,1]],"passed":true}],"passed":true,"stderr":"","stdout":"{\"observations\": [{\"check\": \"explicit oracle 0\", \"actual\": [[0, 1], [1, 3], [1, 2], [2, 3], [1, 1]], \"expected\": [[0, 1], [1, 3], [1, 2], [2, 3], [1, 1]], \"passed\": true}, {\"check\": \"explicit oracle 1\", \"actual\": [[0, 1], [1, 1]], \"expected\": [[0, 1], [1, 1]], \"passed\": true}, {\"check\": \"explicit oracle 2\", \"actual\": [[0, 1], [1, 24], [1, 23], [1, 22], [1, 21], [1, 20], [1, 19], [1, 18], [1, 17], [1, 16], [1, 15], [1, 14], [1, 13], [1, 12], [2, 23], [1, 11], [2, 21], [1, 10], [2, 19], [1, 9], [2, 17], [1, 8], [3, 23], [2, 15], [3, 22], [1, 7], [3, 20], [2, 13], [3, 19], [1, 6], [4, 23], [3, 17], [2, 11], [3, 16], [4, 21], [1, 5], [5, 24], [4, 19], [3, 14], [5, 23], [2, 9], [5, 22], [3, 13], [4, 17], [5, 21], [1, 4], [6, 23], [5, 19], [4, 15], [3, 11], [5, 18], [2, 7], [7, 24], [5, 17], [3, 10], [7, 23], [4, 13], [5, 16], [6, 19], [7, 22], [1, 3], [8, 23], [7, 20], [6, 17], [5, 14], [4, 11], [7, 19], [3, 8], [8, 21], [5, 13], [7, 18], [9, 23], [2, 5], [9, 22], [7, 17], [5, 12], [8, 19], [3, 7], [10, 23], [7, 16], [4, 9], [9, 20], [5, 11], [11, 24], [6, 13], [7, 15], [8, 17], [9, 19], [10, 21], [11, 23], [1, 2], [12, 23], [11, 21], [10, 19], [9, 17], [8, 15], [7, 13], [13, 24], [6, 11], [11, 20], [5, 9], [9, 16], [13, 23], [4, 7], [11, 19], [7, 12], [10, 17], [13, 22], [3, 5], [14, 23], [11, 18], [8, 13], [13, 21], [5, 8], [12, 19], [7, 11], [9, 14], [11, 17], [13, 20], [15, 23], [2, 3], [15, 22], [13, 19], [11, 16], [9, 13], [16, 23], [7, 10], [12, 17], [17, 24], [5, 7], [13, 18], [8, 11], [11, 15], [14, 19], [17, 23], [3, 4], [16, 21], [13, 17], [10, 13], [17, 22], [7, 9], [18, 23], [11, 14], [15, 19], [19, 24], [4, 5], [17, 21], [13, 16], [9, 11], [14, 17], [19, 23], [5, 6], [16, 19], [11, 13], [17, 20], [6, 7], [19, 22], [13, 15], [20, 23], [7, 8], [15, 17], [8, 9], [17, 19], [9, 10], [19, 21], [10, 11], [21, 23], [11, 12], [12, 13], [13, 14], [14, 15], [15, 16], [16, 17], [17, 18], [18, 19], [19, 20], [20, 21], [21, 22], [22, 23], [23, 24], [1, 1]], \"expected\": [[0, 1], [1, 24], [1, 23], [1, 22], [1, 21], [1, 20], [1, 19], [1, 18], [1, 17], [1, 16], [1, 15], [1, 14], [1, 13], [1, 12], [2, 23], [1, 11], [2, 21], [1, 10], [2, 19], [1, 9], [2, 17], [1, 8], [3, 23], [2, 15], [3, 22], [1, 7], [3, 20], [2, 13], [3, 19], [1, 6], [4, 23], [3, 17], [2, 11], [3, 16], [4, 21], [1, 5], [5, 24], [4, 19], [3, 14], [5, 23], [2, 9], [5, 22], [3, 13], [4, 17], [5, 21], [1, 4], [6, 23], [5, 19], [4, 15], [3, 11], [5, 18], [2, 7], [7, 24], [5, 17], [3, 10], [7, 23], [4, 13], [5, 16], [6, 19], [7, 22], [1, 3], [8, 23], [7, 20], [6, 17], [5, 14], [4, 11], [7, 19], [3, 8], [8, 21], [5, 13], [7, 18], [9, 23], [2, 5], [9, 22], [7, 17], [5, 12], [8, 19], [3, 7], [10, 23], [7, 16], [4, 9], [9, 20], [5, 11], [11, 24], [6, 13], [7, 15], [8, 17], [9, 19], [10, 21], [11, 23], [1, 2], [12, 23], [11, 21], [10, 19], [9, 17], [8, 15], [7, 13], [13, 24], [6, 11], [11, 20], [5, 9], [9, 16], [13, 23], [4, 7], [11, 19], [7, 12], [10, 17], [13, 22], [3, 5], [14, 23], [11, 18], [8, 13], [13, 21], [5, 8], [12, 19], [7, 11], [9, 14], [11, 17], [13, 20], [15, 23], [2, 3], [15, 22], [13, 19], [11, 16], [9, 13], [16, 23], [7, 10], [12, 17], [17, 24], [5, 7], [13, 18], [8, 11], [11, 15], [14, 19], [17, 23], [3, 4], [16, 21], [13, 17], [10, 13], [17, 22], [7, 9], [18, 23], [11, 14], [15, 19], [19, 24], [4, 5], [17, 21], [13, 16], [9, 11], [14, 17], [19, 23], [5, 6], [16, 19], [11, 13], [17, 20], [6, 7], [19, 22], [13, 15], [20, 23], [7, 8], [15, 17], [8, 9], [17, 19], [9, 10], [19, 21], [10, 11], [21, 23], [11, 12], [12, 13], [13, 14], [14, 15], [15, 16], [16, 17], [17, 18], [18, 19], [19, 20], [20, 21], [21, 22], [22, 23], [23, 24], [1, 1]], \"passed\": true}, {\"check\": \"explicit oracle 3\", \"actual\": [[0, 1], [1, 2], [1, 1]], \"expected\": [[0, 1], [1, 2], [1, 1]], \"passed\": true}, {\"check\": \"explicit oracle 4\", \"actual\": [[0, 1], [1, 4], [1, 3], [1, 2], [2, 3], [3, 4], [1, 1]], \"expected\": [[0, 1], [1, 4], [1, 3], [1, 2], [2, 3], [3, 4], [1, 1]], \"passed\": true}, {\"check\": \"explicit oracle 5\", \"actual\": [[0, 1], [1, 5], [1, 4], [1, 3], [2, 5], [1, 2], [3, 5], [2, 3], [3, 4], [4, 5], [1, 1]], \"expected\": [[0, 1], [1, 5], [1, 4], [1, 3], [2, 5], [1, 2], [3, 5], [2, 3], [3, 4], [4, 5], [1, 1]], \"passed\": true}, {\"check\": \"explicit oracle 6\", \"actual\": [[0, 1], [1, 6], [1, 5], [1, 4], [1, 3], [2, 5], [1, 2], [3, 5], [2, 3], [3, 4], [4, 5], [5, 6], [1, 1]], \"expected\": [[0, 1], [1, 6], [1, 5], [1, 4], [1, 3], [2, 5], [1, 2], [3, 5], [2, 3], [3, 4], [4, 5], [5, 6], [1, 1]], \"passed\": true}, {\"check\": \"explicit oracle 7\", \"actual\": [[0, 1], [1, 7], [1, 6], [1, 5], [1, 4], [2, 7], [1, 3], [2, 5], [3, 7], [1, 2], [4, 7], [3, 5], [2, 3], [5, 7], [3, 4], [4, 5], [5, 6], [6, 7], [1, 1]], \"expected\": [[0, 1], [1, 7], [1, 6], [1, 5], [1, 4], [2, 7], [1, 3], [2, 5], [3, 7], [1, 2], [4, 7], [3, 5], [2, 3], [5, 7], [3, 4], [4, 5], [5, 6], [6, 7], [1, 1]], \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}