{"abstract":"The exact calkin wilf successors result violates the stated contract at successor output count.","category":"Numerics","checks":8,"contract":"Input positive count k<=50; return first k reduced positive rationals in Calkin-Wilf breadth-first order.","evaluation_group":"s3-numerics-calkin-wilf-successors","failed_approach":"The partial repair range(x+1) still violates the successor output count invariant.","family":"s3-numerics-calkin-wilf-successors-successor-output-count","id":"FA-14546","implementations":{"attempt":{"sha256":"dcdd80aa2a658e1d720557fce83bd32d7d721101acabf821995afb78c5f52de2","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    p,q=1,1\n    out=[]\n    for _ in range(x+1):\n     out.append([p,q])\n     if q==0:return None\n     a=p//q\n     den=(2*a+1)*q-p\n     p,q=q,den\n    return out\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[(1, [[1, 1]]), (50, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5], [5, 7], [7, 2], [2, 7], [7, 5], [5, 8], [8, 3], [3, 7], [7, 4], [4, 5], [5, 1], [1, 6], [6, 5], [5, 9], [9, 4], [4, 11], [11, 7], [7, 10], [10, 3], [3, 11], [11, 8], [8, 13], [13, 5], [5, 12], [12, 7], [7, 9], [9, 2], [2, 9], [9, 7], [7, 12]]), (2, [[1, 1], [1, 2]]), (3, [[1, 1], [1, 2], [2, 1]]), (4, [[1, 1], [1, 2], [2, 1], [1, 3]]), (5, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2]]), (6, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3]]), (7, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1]])], [(2, [[1, 1], [1, 2]]), (4, [[1, 1], [1, 2], [2, 1], [1, 3]]), (1, [[1, 1]]), (50, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5], [5, 7], [7, 2], [2, 7], [7, 5], [5, 8], [8, 3], [3, 7], [7, 4], [4, 5], [5, 1], [1, 6], [6, 5], [5, 9], [9, 4], [4, 11], [11, 7], [7, 10], [10, 3], [3, 11], [11, 8], [8, 13], [13, 5], [5, 12], [12, 7], [7, 9], [9, 2], [2, 9], [9, 7], [7, 12]]), (18, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7]]), (19, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3]]), (20, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8]]), (21, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5]])], [(3, [[1, 1], [1, 2], [2, 1]]), (7, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1]]), (1, [[1, 1]]), (50, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5], [5, 7], [7, 2], [2, 7], [7, 5], [5, 8], [8, 3], [3, 7], [7, 4], [4, 5], [5, 1], [1, 6], [6, 5], [5, 9], [9, 4], [4, 11], [11, 7], [7, 10], [10, 3], [3, 11], [11, 8], [8, 13], [13, 5], [5, 12], [12, 7], [7, 9], [9, 2], [2, 9], [9, 7], [7, 12]]), (35, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5], [5, 7], [7, 2], [2, 7], [7, 5], [5, 8], [8, 3], [3, 7], [7, 4], [4, 5], [5, 1], [1, 6], [6, 5], [5, 9], [9, 4]]), (36, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5], [5, 7], [7, 2], [2, 7], [7, 5], [5, 8], [8, 3], [3, 7], [7, 4], [4, 5], [5, 1], [1, 6], [6, 5], [5, 9], [9, 4], [4, 11]]), (37, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5], [5, 7], [7, 2], [2, 7], [7, 5], [5, 8], [8, 3], [3, 7], [7, 4], [4, 5], [5, 1], [1, 6], [6, 5], [5, 9], [9, 4], [4, 11], [11, 7]]), (38, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5], [5, 7], [7, 2], [2, 7], [7, 5], [5, 8], [8, 3], [3, 7], [7, 4], [4, 5], [5, 1], [1, 6], [6, 5], [5, 9], [9, 4], [4, 11], [11, 7], [7, 10]])], [(4, [[1, 1], [1, 2], [2, 1], [1, 3]]), (10, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5]]), (1, [[1, 1]]), (50, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5], [5, 7], [7, 2], [2, 7], [7, 5], [5, 8], [8, 3], [3, 7], [7, 4], [4, 5], [5, 1], [1, 6], [6, 5], [5, 9], [9, 4], [4, 11], [11, 7], [7, 10], [10, 3], [3, 11], [11, 8], [8, 13], [13, 5], [5, 12], [12, 7], [7, 9], [9, 2], [2, 9], [9, 7], [7, 12]]), (2, [[1, 1], [1, 2]]), (3, [[1, 1], [1, 2], [2, 1]]), (5, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2]]), (6, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3]])], [(5, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2]]), (13, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3]]), (1, [[1, 1]]), (50, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5], [5, 7], [7, 2], [2, 7], [7, 5], [5, 8], [8, 3], [3, 7], [7, 4], [4, 5], [5, 1], [1, 6], [6, 5], [5, 9], [9, 4], [4, 11], [11, 7], [7, 10], [10, 3], [3, 11], [11, 8], [8, 13], [13, 5], [5, 12], [12, 7], [7, 9], [9, 2], [2, 9], [9, 7], [7, 12]]), (19, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3]]), (20, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8]]), (21, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5]]), (22, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5], [5, 7]])]]\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":"b9d2604e832067599109b11548b5987a253eca1a1481f0bc5e3e7e30a429e8e3","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    p,q=1,1\n    out=[]\n    for _ in range(1,x):\n     out.append([p,q])\n     if q==0:return None\n     a=p//q\n     den=(2*a+1)*q-p\n     p,q=q,den\n    return out\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[(1, [[1, 1]]), (50, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5], [5, 7], [7, 2], [2, 7], [7, 5], [5, 8], [8, 3], [3, 7], [7, 4], [4, 5], [5, 1], [1, 6], [6, 5], [5, 9], [9, 4], [4, 11], [11, 7], [7, 10], [10, 3], [3, 11], [11, 8], [8, 13], [13, 5], [5, 12], [12, 7], [7, 9], [9, 2], [2, 9], [9, 7], [7, 12]]), (2, [[1, 1], [1, 2]]), (3, [[1, 1], [1, 2], [2, 1]]), (4, [[1, 1], [1, 2], [2, 1], [1, 3]]), (5, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2]]), (6, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3]]), (7, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1]])], [(2, [[1, 1], [1, 2]]), (4, [[1, 1], [1, 2], [2, 1], [1, 3]]), (1, [[1, 1]]), (50, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5], [5, 7], [7, 2], [2, 7], [7, 5], [5, 8], [8, 3], [3, 7], [7, 4], [4, 5], [5, 1], [1, 6], [6, 5], [5, 9], [9, 4], [4, 11], [11, 7], [7, 10], [10, 3], [3, 11], [11, 8], [8, 13], [13, 5], [5, 12], [12, 7], [7, 9], [9, 2], [2, 9], [9, 7], [7, 12]]), (18, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7]]), (19, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3]]), (20, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8]]), (21, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5]])], [(3, [[1, 1], [1, 2], [2, 1]]), (7, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1]]), (1, [[1, 1]]), (50, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5], [5, 7], [7, 2], [2, 7], [7, 5], [5, 8], [8, 3], [3, 7], [7, 4], [4, 5], [5, 1], [1, 6], [6, 5], [5, 9], [9, 4], [4, 11], [11, 7], [7, 10], [10, 3], [3, 11], [11, 8], [8, 13], [13, 5], [5, 12], [12, 7], [7, 9], [9, 2], [2, 9], [9, 7], [7, 12]]), (35, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5], [5, 7], [7, 2], [2, 7], [7, 5], [5, 8], [8, 3], [3, 7], [7, 4], [4, 5], [5, 1], [1, 6], [6, 5], [5, 9], [9, 4]]), (36, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5], [5, 7], [7, 2], [2, 7], [7, 5], [5, 8], [8, 3], [3, 7], [7, 4], [4, 5], [5, 1], [1, 6], [6, 5], [5, 9], [9, 4], [4, 11]]), (37, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5], [5, 7], [7, 2], [2, 7], [7, 5], [5, 8], [8, 3], [3, 7], [7, 4], [4, 5], [5, 1], [1, 6], [6, 5], [5, 9], [9, 4], [4, 11], [11, 7]]), (38, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5], [5, 7], [7, 2], [2, 7], [7, 5], [5, 8], [8, 3], [3, 7], [7, 4], [4, 5], [5, 1], [1, 6], [6, 5], [5, 9], [9, 4], [4, 11], [11, 7], [7, 10]])], [(4, [[1, 1], [1, 2], [2, 1], [1, 3]]), (10, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5]]), (1, [[1, 1]]), (50, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5], [5, 7], [7, 2], [2, 7], [7, 5], [5, 8], [8, 3], [3, 7], [7, 4], [4, 5], [5, 1], [1, 6], [6, 5], [5, 9], [9, 4], [4, 11], [11, 7], [7, 10], [10, 3], [3, 11], [11, 8], [8, 13], [13, 5], [5, 12], [12, 7], [7, 9], [9, 2], [2, 9], [9, 7], [7, 12]]), (2, [[1, 1], [1, 2]]), (3, [[1, 1], [1, 2], [2, 1]]), (5, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2]]), (6, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3]])], [(5, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2]]), (13, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3]]), (1, [[1, 1]]), (50, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5], [5, 7], [7, 2], [2, 7], [7, 5], [5, 8], [8, 3], [3, 7], [7, 4], [4, 5], [5, 1], [1, 6], [6, 5], [5, 9], [9, 4], [4, 11], [11, 7], [7, 10], [10, 3], [3, 11], [11, 8], [8, 13], [13, 5], [5, 12], [12, 7], [7, 9], [9, 2], [2, 9], [9, 7], [7, 12]]), (19, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3]]), (20, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8]]), (21, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5]]), (22, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5], [5, 7]])]]\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":"9dc416be4a5678a9644a43c22f670540cf11a20cc1608313992df23e70d011aa","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    p,q=1,1\n    out=[]\n    for _ in range(x):\n     out.append([p,q])\n     if q==0:return None\n     a=p//q\n     den=(2*a+1)*q-p\n     p,q=q,den\n    return out\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[(1, [[1, 1]]), (50, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5], [5, 7], [7, 2], [2, 7], [7, 5], [5, 8], [8, 3], [3, 7], [7, 4], [4, 5], [5, 1], [1, 6], [6, 5], [5, 9], [9, 4], [4, 11], [11, 7], [7, 10], [10, 3], [3, 11], [11, 8], [8, 13], [13, 5], [5, 12], [12, 7], [7, 9], [9, 2], [2, 9], [9, 7], [7, 12]]), (2, [[1, 1], [1, 2]]), (3, [[1, 1], [1, 2], [2, 1]]), (4, [[1, 1], [1, 2], [2, 1], [1, 3]]), (5, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2]]), (6, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3]]), (7, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1]])], [(2, [[1, 1], [1, 2]]), (4, [[1, 1], [1, 2], [2, 1], [1, 3]]), (1, [[1, 1]]), (50, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5], [5, 7], [7, 2], [2, 7], [7, 5], [5, 8], [8, 3], [3, 7], [7, 4], [4, 5], [5, 1], [1, 6], [6, 5], [5, 9], [9, 4], [4, 11], [11, 7], [7, 10], [10, 3], [3, 11], [11, 8], [8, 13], [13, 5], [5, 12], [12, 7], [7, 9], [9, 2], [2, 9], [9, 7], [7, 12]]), (18, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7]]), (19, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3]]), (20, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8]]), (21, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5]])], [(3, [[1, 1], [1, 2], [2, 1]]), (7, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1]]), (1, [[1, 1]]), (50, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5], [5, 7], [7, 2], [2, 7], [7, 5], [5, 8], [8, 3], [3, 7], [7, 4], [4, 5], [5, 1], [1, 6], [6, 5], [5, 9], [9, 4], [4, 11], [11, 7], [7, 10], [10, 3], [3, 11], [11, 8], [8, 13], [13, 5], [5, 12], [12, 7], [7, 9], [9, 2], [2, 9], [9, 7], [7, 12]]), (35, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5], [5, 7], [7, 2], [2, 7], [7, 5], [5, 8], [8, 3], [3, 7], [7, 4], [4, 5], [5, 1], [1, 6], [6, 5], [5, 9], [9, 4]]), (36, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5], [5, 7], [7, 2], [2, 7], [7, 5], [5, 8], [8, 3], [3, 7], [7, 4], [4, 5], [5, 1], [1, 6], [6, 5], [5, 9], [9, 4], [4, 11]]), (37, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5], [5, 7], [7, 2], [2, 7], [7, 5], [5, 8], [8, 3], [3, 7], [7, 4], [4, 5], [5, 1], [1, 6], [6, 5], [5, 9], [9, 4], [4, 11], [11, 7]]), (38, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5], [5, 7], [7, 2], [2, 7], [7, 5], [5, 8], [8, 3], [3, 7], [7, 4], [4, 5], [5, 1], [1, 6], [6, 5], [5, 9], [9, 4], [4, 11], [11, 7], [7, 10]])], [(4, [[1, 1], [1, 2], [2, 1], [1, 3]]), (10, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5]]), (1, [[1, 1]]), (50, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5], [5, 7], [7, 2], [2, 7], [7, 5], [5, 8], [8, 3], [3, 7], [7, 4], [4, 5], [5, 1], [1, 6], [6, 5], [5, 9], [9, 4], [4, 11], [11, 7], [7, 10], [10, 3], [3, 11], [11, 8], [8, 13], [13, 5], [5, 12], [12, 7], [7, 9], [9, 2], [2, 9], [9, 7], [7, 12]]), (2, [[1, 1], [1, 2]]), (3, [[1, 1], [1, 2], [2, 1]]), (5, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2]]), (6, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3]])], [(5, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2]]), (13, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3]]), (1, [[1, 1]]), (50, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5], [5, 7], [7, 2], [2, 7], [7, 5], [5, 8], [8, 3], [3, 7], [7, 4], [4, 5], [5, 1], [1, 6], [6, 5], [5, 9], [9, 4], [4, 11], [11, 7], [7, 10], [10, 3], [3, 11], [11, 8], [8, 13], [13, 5], [5, 12], [12, 7], [7, 9], [9, 2], [2, 9], [9, 7], [7, 12]]), (19, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3]]), (20, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8]]), (21, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5]]), (22, [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5], [5, 7]])]]\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-calkin-wilf-successors-successor-output-count","generated_at":"2026-09-29T14:39:17.871538+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 range(x) at the successor output count step.","root_cause":"The successor output count step uses range(1,x) instead of range(x).","sha256":"8b300c6b1fa5ee81b99782e76220ba42d3970efdc6647d5371498522cd0eaa94","title":"Calkin wilf successors: successor output count · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":43.539,"exit_code":1,"observations":[{"actual":[[1,1],[1,2]],"check":"explicit oracle 0","expected":[[1,1]],"passed":false},{"actual":[[1,1],[1,2],[2,1],[1,3],[3,2],[2,3],[3,1],[1,4],[4,3],[3,5],[5,2],[2,5],[5,3],[3,4],[4,1],[1,5],[5,4],[4,7],[7,3],[3,8],[8,5],[5,7],[7,2],[2,7],[7,5],[5,8],[8,3],[3,7],[7,4],[4,5],[5,1],[1,6],[6,5],[5,9],[9,4],[4,11],[11,7],[7,10],[10,3],[3,11],[11,8],[8,13],[13,5],[5,12],[12,7],[7,9],[9,2],[2,9],[9,7],[7,12],[12,5]],"check":"explicit oracle 1","expected":[[1,1],[1,2],[2,1],[1,3],[3,2],[2,3],[3,1],[1,4],[4,3],[3,5],[5,2],[2,5],[5,3],[3,4],[4,1],[1,5],[5,4],[4,7],[7,3],[3,8],[8,5],[5,7],[7,2],[2,7],[7,5],[5,8],[8,3],[3,7],[7,4],[4,5],[5,1],[1,6],[6,5],[5,9],[9,4],[4,11],[11,7],[7,10],[10,3],[3,11],[11,8],[8,13],[13,5],[5,12],[12,7],[7,9],[9,2],[2,9],[9,7],[7,12]],"passed":false},{"actual":[[1,1],[1,2],[2,1]],"check":"explicit oracle 2","expected":[[1,1],[1,2]],"passed":false},{"actual":[[1,1],[1,2],[2,1],[1,3]],"check":"explicit oracle 3","expected":[[1,1],[1,2],[2,1]],"passed":false},{"actual":[[1,1],[1,2],[2,1],[1,3],[3,2]],"check":"explicit oracle 4","expected":[[1,1],[1,2],[2,1],[1,3]],"passed":false},{"actual":[[1,1],[1,2],[2,1],[1,3],[3,2],[2,3]],"check":"explicit oracle 5","expected":[[1,1],[1,2],[2,1],[1,3],[3,2]],"passed":false},{"actual":[[1,1],[1,2],[2,1],[1,3],[3,2],[2,3],[3,1]],"check":"explicit oracle 6","expected":[[1,1],[1,2],[2,1],[1,3],[3,2],[2,3]],"passed":false},{"actual":[[1,1],[1,2],[2,1],[1,3],[3,2],[2,3],[3,1],[1,4]],"check":"explicit oracle 7","expected":[[1,1],[1,2],[2,1],[1,3],[3,2],[2,3],[3,1]],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"explicit oracle 0\", \"actual\": [[1, 1], [1, 2]], \"expected\": [[1, 1]], \"passed\": false}, {\"check\": \"explicit oracle 1\", \"actual\": [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5], [5, 7], [7, 2], [2, 7], [7, 5], [5, 8], [8, 3], [3, 7], [7, 4], [4, 5], [5, 1], [1, 6], [6, 5], [5, 9], [9, 4], [4, 11], [11, 7], [7, 10], [10, 3], [3, 11], [11, 8], [8, 13], [13, 5], [5, 12], [12, 7], [7, 9], [9, 2], [2, 9], [9, 7], [7, 12], [12, 5]], \"expected\": [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5], [5, 7], [7, 2], [2, 7], [7, 5], [5, 8], [8, 3], [3, 7], [7, 4], [4, 5], [5, 1], [1, 6], [6, 5], [5, 9], [9, 4], [4, 11], [11, 7], [7, 10], [10, 3], [3, 11], [11, 8], [8, 13], [13, 5], [5, 12], [12, 7], [7, 9], [9, 2], [2, 9], [9, 7], [7, 12]], \"passed\": false}, {\"check\": \"explicit oracle 2\", \"actual\": [[1, 1], [1, 2], [2, 1]], \"expected\": [[1, 1], [1, 2]], \"passed\": false}, {\"check\": \"explicit oracle 3\", \"actual\": [[1, 1], [1, 2], [2, 1], [1, 3]], \"expected\": [[1, 1], [1, 2], [2, 1]], \"passed\": false}, {\"check\": \"explicit oracle 4\", \"actual\": [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2]], \"expected\": [[1, 1], [1, 2], [2, 1], [1, 3]], \"passed\": false}, {\"check\": \"explicit oracle 5\", \"actual\": [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3]], \"expected\": [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2]], \"passed\": false}, {\"check\": \"explicit oracle 6\", \"actual\": [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1]], \"expected\": [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3]], \"passed\": false}, {\"check\": \"explicit oracle 7\", \"actual\": [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4]], \"expected\": [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1]], \"passed\": false}], \"passed\": false}\n"},"broken":{"elapsed_ms":45.93,"exit_code":1,"observations":[{"actual":[],"check":"explicit oracle 0","expected":[[1,1]],"passed":false},{"actual":[[1,1],[1,2],[2,1],[1,3],[3,2],[2,3],[3,1],[1,4],[4,3],[3,5],[5,2],[2,5],[5,3],[3,4],[4,1],[1,5],[5,4],[4,7],[7,3],[3,8],[8,5],[5,7],[7,2],[2,7],[7,5],[5,8],[8,3],[3,7],[7,4],[4,5],[5,1],[1,6],[6,5],[5,9],[9,4],[4,11],[11,7],[7,10],[10,3],[3,11],[11,8],[8,13],[13,5],[5,12],[12,7],[7,9],[9,2],[2,9],[9,7]],"check":"explicit oracle 1","expected":[[1,1],[1,2],[2,1],[1,3],[3,2],[2,3],[3,1],[1,4],[4,3],[3,5],[5,2],[2,5],[5,3],[3,4],[4,1],[1,5],[5,4],[4,7],[7,3],[3,8],[8,5],[5,7],[7,2],[2,7],[7,5],[5,8],[8,3],[3,7],[7,4],[4,5],[5,1],[1,6],[6,5],[5,9],[9,4],[4,11],[11,7],[7,10],[10,3],[3,11],[11,8],[8,13],[13,5],[5,12],[12,7],[7,9],[9,2],[2,9],[9,7],[7,12]],"passed":false},{"actual":[[1,1]],"check":"explicit oracle 2","expected":[[1,1],[1,2]],"passed":false},{"actual":[[1,1],[1,2]],"check":"explicit oracle 3","expected":[[1,1],[1,2],[2,1]],"passed":false},{"actual":[[1,1],[1,2],[2,1]],"check":"explicit oracle 4","expected":[[1,1],[1,2],[2,1],[1,3]],"passed":false},{"actual":[[1,1],[1,2],[2,1],[1,3]],"check":"explicit oracle 5","expected":[[1,1],[1,2],[2,1],[1,3],[3,2]],"passed":false},{"actual":[[1,1],[1,2],[2,1],[1,3],[3,2]],"check":"explicit oracle 6","expected":[[1,1],[1,2],[2,1],[1,3],[3,2],[2,3]],"passed":false},{"actual":[[1,1],[1,2],[2,1],[1,3],[3,2],[2,3]],"check":"explicit oracle 7","expected":[[1,1],[1,2],[2,1],[1,3],[3,2],[2,3],[3,1]],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"explicit oracle 0\", \"actual\": [], \"expected\": [[1, 1]], \"passed\": false}, {\"check\": \"explicit oracle 1\", \"actual\": [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5], [5, 7], [7, 2], [2, 7], [7, 5], [5, 8], [8, 3], [3, 7], [7, 4], [4, 5], [5, 1], [1, 6], [6, 5], [5, 9], [9, 4], [4, 11], [11, 7], [7, 10], [10, 3], [3, 11], [11, 8], [8, 13], [13, 5], [5, 12], [12, 7], [7, 9], [9, 2], [2, 9], [9, 7]], \"expected\": [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5], [5, 7], [7, 2], [2, 7], [7, 5], [5, 8], [8, 3], [3, 7], [7, 4], [4, 5], [5, 1], [1, 6], [6, 5], [5, 9], [9, 4], [4, 11], [11, 7], [7, 10], [10, 3], [3, 11], [11, 8], [8, 13], [13, 5], [5, 12], [12, 7], [7, 9], [9, 2], [2, 9], [9, 7], [7, 12]], \"passed\": false}, {\"check\": \"explicit oracle 2\", \"actual\": [[1, 1]], \"expected\": [[1, 1], [1, 2]], \"passed\": false}, {\"check\": \"explicit oracle 3\", \"actual\": [[1, 1], [1, 2]], \"expected\": [[1, 1], [1, 2], [2, 1]], \"passed\": false}, {\"check\": \"explicit oracle 4\", \"actual\": [[1, 1], [1, 2], [2, 1]], \"expected\": [[1, 1], [1, 2], [2, 1], [1, 3]], \"passed\": false}, {\"check\": \"explicit oracle 5\", \"actual\": [[1, 1], [1, 2], [2, 1], [1, 3]], \"expected\": [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2]], \"passed\": false}, {\"check\": \"explicit oracle 6\", \"actual\": [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2]], \"expected\": [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3]], \"passed\": false}, {\"check\": \"explicit oracle 7\", \"actual\": [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3]], \"expected\": [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1]], \"passed\": false}], \"passed\": false}\n"},"fixed":{"elapsed_ms":45.751,"exit_code":0,"observations":[{"actual":[[1,1]],"check":"explicit oracle 0","expected":[[1,1]],"passed":true},{"actual":[[1,1],[1,2],[2,1],[1,3],[3,2],[2,3],[3,1],[1,4],[4,3],[3,5],[5,2],[2,5],[5,3],[3,4],[4,1],[1,5],[5,4],[4,7],[7,3],[3,8],[8,5],[5,7],[7,2],[2,7],[7,5],[5,8],[8,3],[3,7],[7,4],[4,5],[5,1],[1,6],[6,5],[5,9],[9,4],[4,11],[11,7],[7,10],[10,3],[3,11],[11,8],[8,13],[13,5],[5,12],[12,7],[7,9],[9,2],[2,9],[9,7],[7,12]],"check":"explicit oracle 1","expected":[[1,1],[1,2],[2,1],[1,3],[3,2],[2,3],[3,1],[1,4],[4,3],[3,5],[5,2],[2,5],[5,3],[3,4],[4,1],[1,5],[5,4],[4,7],[7,3],[3,8],[8,5],[5,7],[7,2],[2,7],[7,5],[5,8],[8,3],[3,7],[7,4],[4,5],[5,1],[1,6],[6,5],[5,9],[9,4],[4,11],[11,7],[7,10],[10,3],[3,11],[11,8],[8,13],[13,5],[5,12],[12,7],[7,9],[9,2],[2,9],[9,7],[7,12]],"passed":true},{"actual":[[1,1],[1,2]],"check":"explicit oracle 2","expected":[[1,1],[1,2]],"passed":true},{"actual":[[1,1],[1,2],[2,1]],"check":"explicit oracle 3","expected":[[1,1],[1,2],[2,1]],"passed":true},{"actual":[[1,1],[1,2],[2,1],[1,3]],"check":"explicit oracle 4","expected":[[1,1],[1,2],[2,1],[1,3]],"passed":true},{"actual":[[1,1],[1,2],[2,1],[1,3],[3,2]],"check":"explicit oracle 5","expected":[[1,1],[1,2],[2,1],[1,3],[3,2]],"passed":true},{"actual":[[1,1],[1,2],[2,1],[1,3],[3,2],[2,3]],"check":"explicit oracle 6","expected":[[1,1],[1,2],[2,1],[1,3],[3,2],[2,3]],"passed":true},{"actual":[[1,1],[1,2],[2,1],[1,3],[3,2],[2,3],[3,1]],"check":"explicit oracle 7","expected":[[1,1],[1,2],[2,1],[1,3],[3,2],[2,3],[3,1]],"passed":true}],"passed":true,"stderr":"","stdout":"{\"observations\": [{\"check\": \"explicit oracle 0\", \"actual\": [[1, 1]], \"expected\": [[1, 1]], \"passed\": true}, {\"check\": \"explicit oracle 1\", \"actual\": [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5], [5, 7], [7, 2], [2, 7], [7, 5], [5, 8], [8, 3], [3, 7], [7, 4], [4, 5], [5, 1], [1, 6], [6, 5], [5, 9], [9, 4], [4, 11], [11, 7], [7, 10], [10, 3], [3, 11], [11, 8], [8, 13], [13, 5], [5, 12], [12, 7], [7, 9], [9, 2], [2, 9], [9, 7], [7, 12]], \"expected\": [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1], [1, 4], [4, 3], [3, 5], [5, 2], [2, 5], [5, 3], [3, 4], [4, 1], [1, 5], [5, 4], [4, 7], [7, 3], [3, 8], [8, 5], [5, 7], [7, 2], [2, 7], [7, 5], [5, 8], [8, 3], [3, 7], [7, 4], [4, 5], [5, 1], [1, 6], [6, 5], [5, 9], [9, 4], [4, 11], [11, 7], [7, 10], [10, 3], [3, 11], [11, 8], [8, 13], [13, 5], [5, 12], [12, 7], [7, 9], [9, 2], [2, 9], [9, 7], [7, 12]], \"passed\": true}, {\"check\": \"explicit oracle 2\", \"actual\": [[1, 1], [1, 2]], \"expected\": [[1, 1], [1, 2]], \"passed\": true}, {\"check\": \"explicit oracle 3\", \"actual\": [[1, 1], [1, 2], [2, 1]], \"expected\": [[1, 1], [1, 2], [2, 1]], \"passed\": true}, {\"check\": \"explicit oracle 4\", \"actual\": [[1, 1], [1, 2], [2, 1], [1, 3]], \"expected\": [[1, 1], [1, 2], [2, 1], [1, 3]], \"passed\": true}, {\"check\": \"explicit oracle 5\", \"actual\": [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2]], \"expected\": [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2]], \"passed\": true}, {\"check\": \"explicit oracle 6\", \"actual\": [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3]], \"expected\": [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3]], \"passed\": true}, {\"check\": \"explicit oracle 7\", \"actual\": [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1]], \"expected\": [[1, 1], [1, 2], [2, 1], [1, 3], [3, 2], [2, 3], [3, 1]], \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}