{"abstract":"The exact involution permutations result violates the stated contract at fixed point image.","category":"Numerics","checks":6,"contract":"Input 0<=n<=7; return lexicographically sorted permutations p of 0..n-1 satisfying p[p[i]]=i.","contract_signature":"x","evaluation_group":"s3-numerics-involution-permutations","failed_approach":"The partial repair n-1 still violates the fixed point image invariant.","family":"s3-numerics-involution-permutations-fixed-point-image","id":"FA-15321","implementations":{"attempt":{"sha256":"85ed28c9d4b933220b85a6f35ee1b8c7069d974ad400bdc98b8e3fdc4574836d","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;out=[]\n    def visit(p,free):\n     if not free:\n      out.append(p);return\n     i=free[0]\n     rest=[v for v in free if v!=i]\n     q=p[:];q[i]=n-1\n     visit(q,rest)\n     for j in rest:\n      q=p[:];q[i]=j;q[j]=i\n      visit(q,[v for v in rest if v!=j])\n    visit([-1]*n,list(range(n)))\n    return sorted(out)\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[(2, [[0, 1], [1, 0]]), (0, [[]]), (7, [[0, 1, 2, 3, 4, 5, 6], [0, 1, 2, 3, 4, 6, 5], [0, 1, 2, 3, 5, 4, 6], [0, 1, 2, 3, 6, 5, 4], [0, 1, 2, 4, 3, 5, 6], [0, 1, 2, 4, 3, 6, 5], [0, 1, 2, 5, 4, 3, 6], [0, 1, 2, 5, 6, 3, 4], [0, 1, 2, 6, 4, 5, 3], [0, 1, 2, 6, 5, 4, 3], [0, 1, 3, 2, 4, 5, 6], [0, 1, 3, 2, 4, 6, 5], [0, 1, 3, 2, 5, 4, 6], [0, 1, 3, 2, 6, 5, 4], [0, 1, 4, 3, 2, 5, 6], [0, 1, 4, 3, 2, 6, 5], [0, 1, 4, 5, 2, 3, 6], [0, 1, 4, 6, 2, 5, 3], [0, 1, 5, 3, 4, 2, 6], [0, 1, 5, 3, 6, 2, 4], [0, 1, 5, 4, 3, 2, 6], [0, 1, 5, 6, 4, 2, 3], [0, 1, 6, 3, 4, 5, 2], [0, 1, 6, 3, 5, 4, 2], [0, 1, 6, 4, 3, 5, 2], [0, 1, 6, 5, 4, 3, 2], [0, 2, 1, 3, 4, 5, 6], [0, 2, 1, 3, 4, 6, 5], [0, 2, 1, 3, 5, 4, 6], [0, 2, 1, 3, 6, 5, 4], [0, 2, 1, 4, 3, 5, 6], [0, 2, 1, 4, 3, 6, 5], [0, 2, 1, 5, 4, 3, 6], [0, 2, 1, 5, 6, 3, 4], [0, 2, 1, 6, 4, 5, 3], [0, 2, 1, 6, 5, 4, 3], [0, 3, 2, 1, 4, 5, 6], [0, 3, 2, 1, 4, 6, 5], [0, 3, 2, 1, 5, 4, 6], [0, 3, 2, 1, 6, 5, 4], [0, 3, 4, 1, 2, 5, 6], [0, 3, 4, 1, 2, 6, 5], [0, 3, 5, 1, 4, 2, 6], [0, 3, 5, 1, 6, 2, 4], [0, 3, 6, 1, 4, 5, 2], [0, 3, 6, 1, 5, 4, 2], [0, 4, 2, 3, 1, 5, 6], [0, 4, 2, 3, 1, 6, 5], [0, 4, 2, 5, 1, 3, 6], [0, 4, 2, 6, 1, 5, 3], [0, 4, 3, 2, 1, 5, 6], [0, 4, 3, 2, 1, 6, 5], [0, 4, 5, 3, 1, 2, 6], [0, 4, 5, 6, 1, 2, 3], [0, 4, 6, 3, 1, 5, 2], [0, 4, 6, 5, 1, 3, 2], [0, 5, 2, 3, 4, 1, 6], [0, 5, 2, 3, 6, 1, 4], [0, 5, 2, 4, 3, 1, 6], [0, 5, 2, 6, 4, 1, 3], [0, 5, 3, 2, 4, 1, 6], [0, 5, 3, 2, 6, 1, 4], [0, 5, 4, 3, 2, 1, 6], [0, 5, 4, 6, 2, 1, 3], [0, 5, 6, 3, 4, 1, 2], [0, 5, 6, 4, 3, 1, 2], [0, 6, 2, 3, 4, 5, 1], [0, 6, 2, 3, 5, 4, 1], [0, 6, 2, 4, 3, 5, 1], [0, 6, 2, 5, 4, 3, 1], [0, 6, 3, 2, 4, 5, 1], [0, 6, 3, 2, 5, 4, 1], [0, 6, 4, 3, 2, 5, 1], [0, 6, 4, 5, 2, 3, 1], [0, 6, 5, 3, 4, 2, 1], [0, 6, 5, 4, 3, 2, 1], [1, 0, 2, 3, 4, 5, 6], [1, 0, 2, 3, 4, 6, 5], [1, 0, 2, 3, 5, 4, 6], [1, 0, 2, 3, 6, 5, 4], [1, 0, 2, 4, 3, 5, 6], [1, 0, 2, 4, 3, 6, 5], [1, 0, 2, 5, 4, 3, 6], [1, 0, 2, 5, 6, 3, 4], [1, 0, 2, 6, 4, 5, 3], [1, 0, 2, 6, 5, 4, 3], [1, 0, 3, 2, 4, 5, 6], [1, 0, 3, 2, 4, 6, 5], [1, 0, 3, 2, 5, 4, 6], [1, 0, 3, 2, 6, 5, 4], [1, 0, 4, 3, 2, 5, 6], [1, 0, 4, 3, 2, 6, 5], [1, 0, 4, 5, 2, 3, 6], [1, 0, 4, 6, 2, 5, 3], [1, 0, 5, 3, 4, 2, 6], [1, 0, 5, 3, 6, 2, 4], [1, 0, 5, 4, 3, 2, 6], [1, 0, 5, 6, 4, 2, 3], [1, 0, 6, 3, 4, 5, 2], [1, 0, 6, 3, 5, 4, 2], [1, 0, 6, 4, 3, 5, 2], [1, 0, 6, 5, 4, 3, 2], [2, 1, 0, 3, 4, 5, 6], [2, 1, 0, 3, 4, 6, 5], [2, 1, 0, 3, 5, 4, 6], [2, 1, 0, 3, 6, 5, 4], [2, 1, 0, 4, 3, 5, 6], [2, 1, 0, 4, 3, 6, 5], [2, 1, 0, 5, 4, 3, 6], [2, 1, 0, 5, 6, 3, 4], [2, 1, 0, 6, 4, 5, 3], [2, 1, 0, 6, 5, 4, 3], [2, 3, 0, 1, 4, 5, 6], [2, 3, 0, 1, 4, 6, 5], [2, 3, 0, 1, 5, 4, 6], [2, 3, 0, 1, 6, 5, 4], [2, 4, 0, 3, 1, 5, 6], [2, 4, 0, 3, 1, 6, 5], [2, 4, 0, 5, 1, 3, 6], [2, 4, 0, 6, 1, 5, 3], [2, 5, 0, 3, 4, 1, 6], [2, 5, 0, 3, 6, 1, 4], [2, 5, 0, 4, 3, 1, 6], [2, 5, 0, 6, 4, 1, 3], [2, 6, 0, 3, 4, 5, 1], [2, 6, 0, 3, 5, 4, 1], [2, 6, 0, 4, 3, 5, 1], [2, 6, 0, 5, 4, 3, 1], [3, 1, 2, 0, 4, 5, 6], [3, 1, 2, 0, 4, 6, 5], [3, 1, 2, 0, 5, 4, 6], [3, 1, 2, 0, 6, 5, 4], [3, 1, 4, 0, 2, 5, 6], [3, 1, 4, 0, 2, 6, 5], [3, 1, 5, 0, 4, 2, 6], [3, 1, 5, 0, 6, 2, 4], [3, 1, 6, 0, 4, 5, 2], [3, 1, 6, 0, 5, 4, 2], [3, 2, 1, 0, 4, 5, 6], [3, 2, 1, 0, 4, 6, 5], [3, 2, 1, 0, 5, 4, 6], [3, 2, 1, 0, 6, 5, 4], [3, 4, 2, 0, 1, 5, 6], [3, 4, 2, 0, 1, 6, 5], [3, 4, 5, 0, 1, 2, 6], [3, 4, 6, 0, 1, 5, 2], [3, 5, 2, 0, 4, 1, 6], [3, 5, 2, 0, 6, 1, 4], [3, 5, 4, 0, 2, 1, 6], [3, 5, 6, 0, 4, 1, 2], [3, 6, 2, 0, 4, 5, 1], [3, 6, 2, 0, 5, 4, 1], [3, 6, 4, 0, 2, 5, 1], [3, 6, 5, 0, 4, 2, 1], [4, 1, 2, 3, 0, 5, 6], [4, 1, 2, 3, 0, 6, 5], [4, 1, 2, 5, 0, 3, 6], [4, 1, 2, 6, 0, 5, 3], [4, 1, 3, 2, 0, 5, 6], [4, 1, 3, 2, 0, 6, 5], [4, 1, 5, 3, 0, 2, 6], [4, 1, 5, 6, 0, 2, 3], [4, 1, 6, 3, 0, 5, 2], [4, 1, 6, 5, 0, 3, 2], [4, 2, 1, 3, 0, 5, 6], [4, 2, 1, 3, 0, 6, 5], [4, 2, 1, 5, 0, 3, 6], [4, 2, 1, 6, 0, 5, 3], [4, 3, 2, 1, 0, 5, 6], [4, 3, 2, 1, 0, 6, 5], [4, 3, 5, 1, 0, 2, 6], [4, 3, 6, 1, 0, 5, 2], [4, 5, 2, 3, 0, 1, 6], [4, 5, 2, 6, 0, 1, 3], [4, 5, 3, 2, 0, 1, 6], [4, 5, 6, 3, 0, 1, 2], [4, 6, 2, 3, 0, 5, 1], [4, 6, 2, 5, 0, 3, 1], [4, 6, 3, 2, 0, 5, 1], [4, 6, 5, 3, 0, 2, 1], [5, 1, 2, 3, 4, 0, 6], [5, 1, 2, 3, 6, 0, 4], [5, 1, 2, 4, 3, 0, 6], [5, 1, 2, 6, 4, 0, 3], [5, 1, 3, 2, 4, 0, 6], [5, 1, 3, 2, 6, 0, 4], [5, 1, 4, 3, 2, 0, 6], [5, 1, 4, 6, 2, 0, 3], [5, 1, 6, 3, 4, 0, 2], [5, 1, 6, 4, 3, 0, 2], [5, 2, 1, 3, 4, 0, 6], [5, 2, 1, 3, 6, 0, 4], [5, 2, 1, 4, 3, 0, 6], [5, 2, 1, 6, 4, 0, 3], [5, 3, 2, 1, 4, 0, 6], [5, 3, 2, 1, 6, 0, 4], [5, 3, 4, 1, 2, 0, 6], [5, 3, 6, 1, 4, 0, 2], [5, 4, 2, 3, 1, 0, 6], [5, 4, 2, 6, 1, 0, 3], [5, 4, 3, 2, 1, 0, 6], [5, 4, 6, 3, 1, 0, 2], [5, 6, 2, 3, 4, 0, 1], [5, 6, 2, 4, 3, 0, 1], [5, 6, 3, 2, 4, 0, 1], [5, 6, 4, 3, 2, 0, 1], [6, 1, 2, 3, 4, 5, 0], [6, 1, 2, 3, 5, 4, 0], [6, 1, 2, 4, 3, 5, 0], [6, 1, 2, 5, 4, 3, 0], [6, 1, 3, 2, 4, 5, 0], [6, 1, 3, 2, 5, 4, 0], [6, 1, 4, 3, 2, 5, 0], [6, 1, 4, 5, 2, 3, 0], [6, 1, 5, 3, 4, 2, 0], [6, 1, 5, 4, 3, 2, 0], [6, 2, 1, 3, 4, 5, 0], [6, 2, 1, 3, 5, 4, 0], [6, 2, 1, 4, 3, 5, 0], [6, 2, 1, 5, 4, 3, 0], [6, 3, 2, 1, 4, 5, 0], [6, 3, 2, 1, 5, 4, 0], [6, 3, 4, 1, 2, 5, 0], [6, 3, 5, 1, 4, 2, 0], [6, 4, 2, 3, 1, 5, 0], [6, 4, 2, 5, 1, 3, 0], [6, 4, 3, 2, 1, 5, 0], [6, 4, 5, 3, 1, 2, 0], [6, 5, 2, 3, 4, 1, 0], [6, 5, 2, 4, 3, 1, 0], [6, 5, 3, 2, 4, 1, 0], [6, 5, 4, 3, 2, 1, 0]]), (1, [[0]]), (3, [[0, 1, 2], [0, 2, 1], [1, 0, 2], [2, 1, 0]]), (4, [[0, 1, 2, 3], [0, 1, 3, 2], [0, 2, 1, 3], [0, 3, 2, 1], [1, 0, 2, 3], [1, 0, 3, 2], [2, 1, 0, 3], [2, 3, 0, 1], [3, 1, 2, 0], [3, 2, 1, 0]])], [(3, [[0, 1, 2], [0, 2, 1], [1, 0, 2], [2, 1, 0]]), (5, [[0, 1, 2, 3, 4], [0, 1, 2, 4, 3], [0, 1, 3, 2, 4], [0, 1, 4, 3, 2], [0, 2, 1, 3, 4], [0, 2, 1, 4, 3], [0, 3, 2, 1, 4], [0, 3, 4, 1, 2], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [1, 0, 2, 3, 4], [1, 0, 2, 4, 3], [1, 0, 3, 2, 4], [1, 0, 4, 3, 2], [2, 1, 0, 3, 4], [2, 1, 0, 4, 3], [2, 3, 0, 1, 4], [2, 4, 0, 3, 1], [3, 1, 2, 0, 4], [3, 1, 4, 0, 2], [3, 2, 1, 0, 4], [3, 4, 2, 0, 1], [4, 1, 2, 3, 0], [4, 1, 3, 2, 0], [4, 2, 1, 3, 0], [4, 3, 2, 1, 0]]), (0, [[]]), (7, [[0, 1, 2, 3, 4, 5, 6], [0, 1, 2, 3, 4, 6, 5], [0, 1, 2, 3, 5, 4, 6], [0, 1, 2, 3, 6, 5, 4], [0, 1, 2, 4, 3, 5, 6], [0, 1, 2, 4, 3, 6, 5], [0, 1, 2, 5, 4, 3, 6], [0, 1, 2, 5, 6, 3, 4], [0, 1, 2, 6, 4, 5, 3], [0, 1, 2, 6, 5, 4, 3], [0, 1, 3, 2, 4, 5, 6], [0, 1, 3, 2, 4, 6, 5], [0, 1, 3, 2, 5, 4, 6], [0, 1, 3, 2, 6, 5, 4], [0, 1, 4, 3, 2, 5, 6], [0, 1, 4, 3, 2, 6, 5], [0, 1, 4, 5, 2, 3, 6], [0, 1, 4, 6, 2, 5, 3], [0, 1, 5, 3, 4, 2, 6], [0, 1, 5, 3, 6, 2, 4], [0, 1, 5, 4, 3, 2, 6], [0, 1, 5, 6, 4, 2, 3], [0, 1, 6, 3, 4, 5, 2], [0, 1, 6, 3, 5, 4, 2], [0, 1, 6, 4, 3, 5, 2], [0, 1, 6, 5, 4, 3, 2], [0, 2, 1, 3, 4, 5, 6], [0, 2, 1, 3, 4, 6, 5], [0, 2, 1, 3, 5, 4, 6], [0, 2, 1, 3, 6, 5, 4], [0, 2, 1, 4, 3, 5, 6], [0, 2, 1, 4, 3, 6, 5], [0, 2, 1, 5, 4, 3, 6], [0, 2, 1, 5, 6, 3, 4], [0, 2, 1, 6, 4, 5, 3], [0, 2, 1, 6, 5, 4, 3], [0, 3, 2, 1, 4, 5, 6], [0, 3, 2, 1, 4, 6, 5], [0, 3, 2, 1, 5, 4, 6], [0, 3, 2, 1, 6, 5, 4], [0, 3, 4, 1, 2, 5, 6], [0, 3, 4, 1, 2, 6, 5], [0, 3, 5, 1, 4, 2, 6], [0, 3, 5, 1, 6, 2, 4], [0, 3, 6, 1, 4, 5, 2], [0, 3, 6, 1, 5, 4, 2], [0, 4, 2, 3, 1, 5, 6], [0, 4, 2, 3, 1, 6, 5], [0, 4, 2, 5, 1, 3, 6], [0, 4, 2, 6, 1, 5, 3], [0, 4, 3, 2, 1, 5, 6], [0, 4, 3, 2, 1, 6, 5], [0, 4, 5, 3, 1, 2, 6], [0, 4, 5, 6, 1, 2, 3], [0, 4, 6, 3, 1, 5, 2], [0, 4, 6, 5, 1, 3, 2], [0, 5, 2, 3, 4, 1, 6], [0, 5, 2, 3, 6, 1, 4], [0, 5, 2, 4, 3, 1, 6], [0, 5, 2, 6, 4, 1, 3], [0, 5, 3, 2, 4, 1, 6], [0, 5, 3, 2, 6, 1, 4], [0, 5, 4, 3, 2, 1, 6], [0, 5, 4, 6, 2, 1, 3], [0, 5, 6, 3, 4, 1, 2], [0, 5, 6, 4, 3, 1, 2], [0, 6, 2, 3, 4, 5, 1], [0, 6, 2, 3, 5, 4, 1], [0, 6, 2, 4, 3, 5, 1], [0, 6, 2, 5, 4, 3, 1], [0, 6, 3, 2, 4, 5, 1], [0, 6, 3, 2, 5, 4, 1], [0, 6, 4, 3, 2, 5, 1], [0, 6, 4, 5, 2, 3, 1], [0, 6, 5, 3, 4, 2, 1], [0, 6, 5, 4, 3, 2, 1], [1, 0, 2, 3, 4, 5, 6], [1, 0, 2, 3, 4, 6, 5], [1, 0, 2, 3, 5, 4, 6], [1, 0, 2, 3, 6, 5, 4], [1, 0, 2, 4, 3, 5, 6], [1, 0, 2, 4, 3, 6, 5], [1, 0, 2, 5, 4, 3, 6], [1, 0, 2, 5, 6, 3, 4], [1, 0, 2, 6, 4, 5, 3], [1, 0, 2, 6, 5, 4, 3], [1, 0, 3, 2, 4, 5, 6], [1, 0, 3, 2, 4, 6, 5], [1, 0, 3, 2, 5, 4, 6], [1, 0, 3, 2, 6, 5, 4], [1, 0, 4, 3, 2, 5, 6], [1, 0, 4, 3, 2, 6, 5], [1, 0, 4, 5, 2, 3, 6], [1, 0, 4, 6, 2, 5, 3], [1, 0, 5, 3, 4, 2, 6], [1, 0, 5, 3, 6, 2, 4], [1, 0, 5, 4, 3, 2, 6], [1, 0, 5, 6, 4, 2, 3], [1, 0, 6, 3, 4, 5, 2], [1, 0, 6, 3, 5, 4, 2], [1, 0, 6, 4, 3, 5, 2], [1, 0, 6, 5, 4, 3, 2], [2, 1, 0, 3, 4, 5, 6], [2, 1, 0, 3, 4, 6, 5], [2, 1, 0, 3, 5, 4, 6], [2, 1, 0, 3, 6, 5, 4], [2, 1, 0, 4, 3, 5, 6], [2, 1, 0, 4, 3, 6, 5], [2, 1, 0, 5, 4, 3, 6], [2, 1, 0, 5, 6, 3, 4], [2, 1, 0, 6, 4, 5, 3], [2, 1, 0, 6, 5, 4, 3], [2, 3, 0, 1, 4, 5, 6], [2, 3, 0, 1, 4, 6, 5], [2, 3, 0, 1, 5, 4, 6], [2, 3, 0, 1, 6, 5, 4], [2, 4, 0, 3, 1, 5, 6], [2, 4, 0, 3, 1, 6, 5], [2, 4, 0, 5, 1, 3, 6], [2, 4, 0, 6, 1, 5, 3], [2, 5, 0, 3, 4, 1, 6], [2, 5, 0, 3, 6, 1, 4], [2, 5, 0, 4, 3, 1, 6], [2, 5, 0, 6, 4, 1, 3], [2, 6, 0, 3, 4, 5, 1], [2, 6, 0, 3, 5, 4, 1], [2, 6, 0, 4, 3, 5, 1], [2, 6, 0, 5, 4, 3, 1], [3, 1, 2, 0, 4, 5, 6], [3, 1, 2, 0, 4, 6, 5], [3, 1, 2, 0, 5, 4, 6], [3, 1, 2, 0, 6, 5, 4], [3, 1, 4, 0, 2, 5, 6], [3, 1, 4, 0, 2, 6, 5], [3, 1, 5, 0, 4, 2, 6], [3, 1, 5, 0, 6, 2, 4], [3, 1, 6, 0, 4, 5, 2], [3, 1, 6, 0, 5, 4, 2], [3, 2, 1, 0, 4, 5, 6], [3, 2, 1, 0, 4, 6, 5], [3, 2, 1, 0, 5, 4, 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1, 2, 3, 4, 5, 0], [6, 1, 2, 3, 5, 4, 0], [6, 1, 2, 4, 3, 5, 0], [6, 1, 2, 5, 4, 3, 0], [6, 1, 3, 2, 4, 5, 0], [6, 1, 3, 2, 5, 4, 0], [6, 1, 4, 3, 2, 5, 0], [6, 1, 4, 5, 2, 3, 0], [6, 1, 5, 3, 4, 2, 0], [6, 1, 5, 4, 3, 2, 0], [6, 2, 1, 3, 4, 5, 0], [6, 2, 1, 3, 5, 4, 0], [6, 2, 1, 4, 3, 5, 0], [6, 2, 1, 5, 4, 3, 0], [6, 3, 2, 1, 4, 5, 0], [6, 3, 2, 1, 5, 4, 0], [6, 3, 4, 1, 2, 5, 0], [6, 3, 5, 1, 4, 2, 0], [6, 4, 2, 3, 1, 5, 0], [6, 4, 2, 5, 1, 3, 0], [6, 4, 3, 2, 1, 5, 0], [6, 4, 5, 3, 1, 2, 0], [6, 5, 2, 3, 4, 1, 0], [6, 5, 2, 4, 3, 1, 0], [6, 5, 3, 2, 4, 1, 0], [6, 5, 4, 3, 2, 1, 0]]), (4, [[0, 1, 2, 3], [0, 1, 3, 2], [0, 2, 1, 3], [0, 3, 2, 1], [1, 0, 2, 3], [1, 0, 3, 2], [2, 1, 0, 3], [2, 3, 0, 1], [3, 1, 2, 0], [3, 2, 1, 0]]), (5, [[0, 1, 2, 3, 4], [0, 1, 2, 4, 3], [0, 1, 3, 2, 4], [0, 1, 4, 3, 2], [0, 2, 1, 3, 4], [0, 2, 1, 4, 3], [0, 3, 2, 1, 4], [0, 3, 4, 1, 2], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [1, 0, 2, 3, 4], [1, 0, 2, 4, 3], [1, 0, 3, 2, 4], [1, 0, 4, 3, 2], [2, 1, 0, 3, 4], [2, 1, 0, 4, 3], [2, 3, 0, 1, 4], [2, 4, 0, 3, 1], [3, 1, 2, 0, 4], [3, 1, 4, 0, 2], [3, 2, 1, 0, 4], [3, 4, 2, 0, 1], [4, 1, 2, 3, 0], [4, 1, 3, 2, 0], [4, 2, 1, 3, 0], [4, 3, 2, 1, 0]])]]\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":"54ae81c7b208315d7f92baf32218d55c18de641139063d7170f5fdfc6db85680","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;out=[]\n    def visit(p,free):\n     if not free:\n      out.append(p);return\n     i=free[0]\n     rest=[v for v in free if v!=i]\n     q=p[:];q[i]=0\n     visit(q,rest)\n     for j in rest:\n      q=p[:];q[i]=j;q[j]=i\n      visit(q,[v for v in rest if v!=j])\n    visit([-1]*n,list(range(n)))\n    return sorted(out)\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[(2, [[0, 1], [1, 0]]), (0, [[]]), (7, [[0, 1, 2, 3, 4, 5, 6], [0, 1, 2, 3, 4, 6, 5], [0, 1, 2, 3, 5, 4, 6], [0, 1, 2, 3, 6, 5, 4], [0, 1, 2, 4, 3, 5, 6], [0, 1, 2, 4, 3, 6, 5], [0, 1, 2, 5, 4, 3, 6], [0, 1, 2, 5, 6, 3, 4], [0, 1, 2, 6, 4, 5, 3], [0, 1, 2, 6, 5, 4, 3], [0, 1, 3, 2, 4, 5, 6], [0, 1, 3, 2, 4, 6, 5], [0, 1, 3, 2, 5, 4, 6], [0, 1, 3, 2, 6, 5, 4], [0, 1, 4, 3, 2, 5, 6], [0, 1, 4, 3, 2, 6, 5], [0, 1, 4, 5, 2, 3, 6], [0, 1, 4, 6, 2, 5, 3], [0, 1, 5, 3, 4, 2, 6], [0, 1, 5, 3, 6, 2, 4], [0, 1, 5, 4, 3, 2, 6], [0, 1, 5, 6, 4, 2, 3], [0, 1, 6, 3, 4, 5, 2], [0, 1, 6, 3, 5, 4, 2], [0, 1, 6, 4, 3, 5, 2], [0, 1, 6, 5, 4, 3, 2], [0, 2, 1, 3, 4, 5, 6], [0, 2, 1, 3, 4, 6, 5], [0, 2, 1, 3, 5, 4, 6], [0, 2, 1, 3, 6, 5, 4], [0, 2, 1, 4, 3, 5, 6], [0, 2, 1, 4, 3, 6, 5], [0, 2, 1, 5, 4, 3, 6], [0, 2, 1, 5, 6, 3, 4], [0, 2, 1, 6, 4, 5, 3], [0, 2, 1, 6, 5, 4, 3], [0, 3, 2, 1, 4, 5, 6], [0, 3, 2, 1, 4, 6, 5], [0, 3, 2, 1, 5, 4, 6], [0, 3, 2, 1, 6, 5, 4], [0, 3, 4, 1, 2, 5, 6], [0, 3, 4, 1, 2, 6, 5], [0, 3, 5, 1, 4, 2, 6], [0, 3, 5, 1, 6, 2, 4], [0, 3, 6, 1, 4, 5, 2], [0, 3, 6, 1, 5, 4, 2], [0, 4, 2, 3, 1, 5, 6], [0, 4, 2, 3, 1, 6, 5], [0, 4, 2, 5, 1, 3, 6], [0, 4, 2, 6, 1, 5, 3], [0, 4, 3, 2, 1, 5, 6], [0, 4, 3, 2, 1, 6, 5], [0, 4, 5, 3, 1, 2, 6], [0, 4, 5, 6, 1, 2, 3], [0, 4, 6, 3, 1, 5, 2], [0, 4, 6, 5, 1, 3, 2], [0, 5, 2, 3, 4, 1, 6], [0, 5, 2, 3, 6, 1, 4], [0, 5, 2, 4, 3, 1, 6], [0, 5, 2, 6, 4, 1, 3], [0, 5, 3, 2, 4, 1, 6], [0, 5, 3, 2, 6, 1, 4], [0, 5, 4, 3, 2, 1, 6], [0, 5, 4, 6, 2, 1, 3], [0, 5, 6, 3, 4, 1, 2], [0, 5, 6, 4, 3, 1, 2], [0, 6, 2, 3, 4, 5, 1], [0, 6, 2, 3, 5, 4, 1], [0, 6, 2, 4, 3, 5, 1], [0, 6, 2, 5, 4, 3, 1], [0, 6, 3, 2, 4, 5, 1], [0, 6, 3, 2, 5, 4, 1], [0, 6, 4, 3, 2, 5, 1], [0, 6, 4, 5, 2, 3, 1], [0, 6, 5, 3, 4, 2, 1], [0, 6, 5, 4, 3, 2, 1], [1, 0, 2, 3, 4, 5, 6], [1, 0, 2, 3, 4, 6, 5], [1, 0, 2, 3, 5, 4, 6], [1, 0, 2, 3, 6, 5, 4], [1, 0, 2, 4, 3, 5, 6], [1, 0, 2, 4, 3, 6, 5], [1, 0, 2, 5, 4, 3, 6], [1, 0, 2, 5, 6, 3, 4], [1, 0, 2, 6, 4, 5, 3], [1, 0, 2, 6, 5, 4, 3], [1, 0, 3, 2, 4, 5, 6], [1, 0, 3, 2, 4, 6, 5], [1, 0, 3, 2, 5, 4, 6], [1, 0, 3, 2, 6, 5, 4], [1, 0, 4, 3, 2, 5, 6], [1, 0, 4, 3, 2, 6, 5], [1, 0, 4, 5, 2, 3, 6], [1, 0, 4, 6, 2, 5, 3], [1, 0, 5, 3, 4, 2, 6], [1, 0, 5, 3, 6, 2, 4], [1, 0, 5, 4, 3, 2, 6], [1, 0, 5, 6, 4, 2, 3], [1, 0, 6, 3, 4, 5, 2], [1, 0, 6, 3, 5, 4, 2], [1, 0, 6, 4, 3, 5, 2], [1, 0, 6, 5, 4, 3, 2], [2, 1, 0, 3, 4, 5, 6], [2, 1, 0, 3, 4, 6, 5], [2, 1, 0, 3, 5, 4, 6], [2, 1, 0, 3, 6, 5, 4], [2, 1, 0, 4, 3, 5, 6], [2, 1, 0, 4, 3, 6, 5], [2, 1, 0, 5, 4, 3, 6], [2, 1, 0, 5, 6, 3, 4], [2, 1, 0, 6, 4, 5, 3], [2, 1, 0, 6, 5, 4, 3], [2, 3, 0, 1, 4, 5, 6], [2, 3, 0, 1, 4, 6, 5], [2, 3, 0, 1, 5, 4, 6], [2, 3, 0, 1, 6, 5, 4], [2, 4, 0, 3, 1, 5, 6], [2, 4, 0, 3, 1, 6, 5], [2, 4, 0, 5, 1, 3, 6], [2, 4, 0, 6, 1, 5, 3], [2, 5, 0, 3, 4, 1, 6], [2, 5, 0, 3, 6, 1, 4], [2, 5, 0, 4, 3, 1, 6], [2, 5, 0, 6, 4, 1, 3], [2, 6, 0, 3, 4, 5, 1], [2, 6, 0, 3, 5, 4, 1], [2, 6, 0, 4, 3, 5, 1], [2, 6, 0, 5, 4, 3, 1], [3, 1, 2, 0, 4, 5, 6], [3, 1, 2, 0, 4, 6, 5], [3, 1, 2, 0, 5, 4, 6], [3, 1, 2, 0, 6, 5, 4], [3, 1, 4, 0, 2, 5, 6], [3, 1, 4, 0, 2, 6, 5], [3, 1, 5, 0, 4, 2, 6], [3, 1, 5, 0, 6, 2, 4], [3, 1, 6, 0, 4, 5, 2], [3, 1, 6, 0, 5, 4, 2], [3, 2, 1, 0, 4, 5, 6], [3, 2, 1, 0, 4, 6, 5], [3, 2, 1, 0, 5, 4, 6], [3, 2, 1, 0, 6, 5, 4], [3, 4, 2, 0, 1, 5, 6], [3, 4, 2, 0, 1, 6, 5], [3, 4, 5, 0, 1, 2, 6], [3, 4, 6, 0, 1, 5, 2], [3, 5, 2, 0, 4, 1, 6], [3, 5, 2, 0, 6, 1, 4], [3, 5, 4, 0, 2, 1, 6], [3, 5, 6, 0, 4, 1, 2], [3, 6, 2, 0, 4, 5, 1], [3, 6, 2, 0, 5, 4, 1], [3, 6, 4, 0, 2, 5, 1], [3, 6, 5, 0, 4, 2, 1], [4, 1, 2, 3, 0, 5, 6], [4, 1, 2, 3, 0, 6, 5], [4, 1, 2, 5, 0, 3, 6], [4, 1, 2, 6, 0, 5, 3], [4, 1, 3, 2, 0, 5, 6], [4, 1, 3, 2, 0, 6, 5], [4, 1, 5, 3, 0, 2, 6], [4, 1, 5, 6, 0, 2, 3], [4, 1, 6, 3, 0, 5, 2], [4, 1, 6, 5, 0, 3, 2], [4, 2, 1, 3, 0, 5, 6], [4, 2, 1, 3, 0, 6, 5], [4, 2, 1, 5, 0, 3, 6], [4, 2, 1, 6, 0, 5, 3], [4, 3, 2, 1, 0, 5, 6], [4, 3, 2, 1, 0, 6, 5], [4, 3, 5, 1, 0, 2, 6], [4, 3, 6, 1, 0, 5, 2], [4, 5, 2, 3, 0, 1, 6], [4, 5, 2, 6, 0, 1, 3], [4, 5, 3, 2, 0, 1, 6], [4, 5, 6, 3, 0, 1, 2], [4, 6, 2, 3, 0, 5, 1], [4, 6, 2, 5, 0, 3, 1], [4, 6, 3, 2, 0, 5, 1], [4, 6, 5, 3, 0, 2, 1], [5, 1, 2, 3, 4, 0, 6], [5, 1, 2, 3, 6, 0, 4], [5, 1, 2, 4, 3, 0, 6], [5, 1, 2, 6, 4, 0, 3], [5, 1, 3, 2, 4, 0, 6], [5, 1, 3, 2, 6, 0, 4], [5, 1, 4, 3, 2, 0, 6], [5, 1, 4, 6, 2, 0, 3], [5, 1, 6, 3, 4, 0, 2], [5, 1, 6, 4, 3, 0, 2], [5, 2, 1, 3, 4, 0, 6], [5, 2, 1, 3, 6, 0, 4], [5, 2, 1, 4, 3, 0, 6], [5, 2, 1, 6, 4, 0, 3], [5, 3, 2, 1, 4, 0, 6], [5, 3, 2, 1, 6, 0, 4], [5, 3, 4, 1, 2, 0, 6], [5, 3, 6, 1, 4, 0, 2], [5, 4, 2, 3, 1, 0, 6], [5, 4, 2, 6, 1, 0, 3], [5, 4, 3, 2, 1, 0, 6], [5, 4, 6, 3, 1, 0, 2], [5, 6, 2, 3, 4, 0, 1], [5, 6, 2, 4, 3, 0, 1], [5, 6, 3, 2, 4, 0, 1], [5, 6, 4, 3, 2, 0, 1], [6, 1, 2, 3, 4, 5, 0], [6, 1, 2, 3, 5, 4, 0], [6, 1, 2, 4, 3, 5, 0], [6, 1, 2, 5, 4, 3, 0], [6, 1, 3, 2, 4, 5, 0], [6, 1, 3, 2, 5, 4, 0], [6, 1, 4, 3, 2, 5, 0], [6, 1, 4, 5, 2, 3, 0], [6, 1, 5, 3, 4, 2, 0], [6, 1, 5, 4, 3, 2, 0], [6, 2, 1, 3, 4, 5, 0], [6, 2, 1, 3, 5, 4, 0], [6, 2, 1, 4, 3, 5, 0], [6, 2, 1, 5, 4, 3, 0], [6, 3, 2, 1, 4, 5, 0], [6, 3, 2, 1, 5, 4, 0], [6, 3, 4, 1, 2, 5, 0], [6, 3, 5, 1, 4, 2, 0], [6, 4, 2, 3, 1, 5, 0], [6, 4, 2, 5, 1, 3, 0], [6, 4, 3, 2, 1, 5, 0], [6, 4, 5, 3, 1, 2, 0], [6, 5, 2, 3, 4, 1, 0], [6, 5, 2, 4, 3, 1, 0], [6, 5, 3, 2, 4, 1, 0], [6, 5, 4, 3, 2, 1, 0]]), (1, [[0]]), (3, [[0, 1, 2], [0, 2, 1], [1, 0, 2], [2, 1, 0]]), (4, [[0, 1, 2, 3], [0, 1, 3, 2], [0, 2, 1, 3], [0, 3, 2, 1], [1, 0, 2, 3], [1, 0, 3, 2], [2, 1, 0, 3], [2, 3, 0, 1], [3, 1, 2, 0], [3, 2, 1, 0]])], [(3, [[0, 1, 2], [0, 2, 1], [1, 0, 2], [2, 1, 0]]), (5, [[0, 1, 2, 3, 4], [0, 1, 2, 4, 3], [0, 1, 3, 2, 4], [0, 1, 4, 3, 2], [0, 2, 1, 3, 4], [0, 2, 1, 4, 3], [0, 3, 2, 1, 4], [0, 3, 4, 1, 2], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [1, 0, 2, 3, 4], [1, 0, 2, 4, 3], [1, 0, 3, 2, 4], [1, 0, 4, 3, 2], [2, 1, 0, 3, 4], [2, 1, 0, 4, 3], [2, 3, 0, 1, 4], [2, 4, 0, 3, 1], [3, 1, 2, 0, 4], [3, 1, 4, 0, 2], [3, 2, 1, 0, 4], [3, 4, 2, 0, 1], [4, 1, 2, 3, 0], [4, 1, 3, 2, 0], [4, 2, 1, 3, 0], [4, 3, 2, 1, 0]]), (0, [[]]), (7, [[0, 1, 2, 3, 4, 5, 6], [0, 1, 2, 3, 4, 6, 5], [0, 1, 2, 3, 5, 4, 6], [0, 1, 2, 3, 6, 5, 4], [0, 1, 2, 4, 3, 5, 6], [0, 1, 2, 4, 3, 6, 5], [0, 1, 2, 5, 4, 3, 6], [0, 1, 2, 5, 6, 3, 4], [0, 1, 2, 6, 4, 5, 3], [0, 1, 2, 6, 5, 4, 3], [0, 1, 3, 2, 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[4, 5, 3, 2, 0, 1], [5, 1, 2, 3, 4, 0], [5, 1, 2, 4, 3, 0], [5, 1, 3, 2, 4, 0], [5, 1, 4, 3, 2, 0], [5, 2, 1, 3, 4, 0], [5, 2, 1, 4, 3, 0], [5, 3, 2, 1, 4, 0], [5, 3, 4, 1, 2, 0], [5, 4, 2, 3, 1, 0], [5, 4, 3, 2, 1, 0]]), (2, [[0, 1], [1, 0]]), (0, [[]]), (7, [[0, 1, 2, 3, 4, 5, 6], [0, 1, 2, 3, 4, 6, 5], [0, 1, 2, 3, 5, 4, 6], [0, 1, 2, 3, 6, 5, 4], [0, 1, 2, 4, 3, 5, 6], [0, 1, 2, 4, 3, 6, 5], [0, 1, 2, 5, 4, 3, 6], [0, 1, 2, 5, 6, 3, 4], [0, 1, 2, 6, 4, 5, 3], [0, 1, 2, 6, 5, 4, 3], [0, 1, 3, 2, 4, 5, 6], [0, 1, 3, 2, 4, 6, 5], [0, 1, 3, 2, 5, 4, 6], [0, 1, 3, 2, 6, 5, 4], [0, 1, 4, 3, 2, 5, 6], [0, 1, 4, 3, 2, 6, 5], [0, 1, 4, 5, 2, 3, 6], [0, 1, 4, 6, 2, 5, 3], [0, 1, 5, 3, 4, 2, 6], [0, 1, 5, 3, 6, 2, 4], [0, 1, 5, 4, 3, 2, 6], [0, 1, 5, 6, 4, 2, 3], [0, 1, 6, 3, 4, 5, 2], [0, 1, 6, 3, 5, 4, 2], [0, 1, 6, 4, 3, 5, 2], [0, 1, 6, 5, 4, 3, 2], [0, 2, 1, 3, 4, 5, 6], [0, 2, 1, 3, 4, 6, 5], [0, 2, 1, 3, 5, 4, 6], [0, 2, 1, 3, 6, 5, 4], [0, 2, 1, 4, 3, 5, 6], [0, 2, 1, 4, 3, 6, 5], [0, 2, 1, 5, 4, 3, 6], [0, 2, 1, 5, 6, 3, 4], [0, 2, 1, 6, 4, 5, 3], [0, 2, 1, 6, 5, 4, 3], [0, 3, 2, 1, 4, 5, 6], [0, 3, 2, 1, 4, 6, 5], [0, 3, 2, 1, 5, 4, 6], [0, 3, 2, 1, 6, 5, 4], [0, 3, 4, 1, 2, 5, 6], [0, 3, 4, 1, 2, 6, 5], [0, 3, 5, 1, 4, 2, 6], [0, 3, 5, 1, 6, 2, 4], [0, 3, 6, 1, 4, 5, 2], [0, 3, 6, 1, 5, 4, 2], [0, 4, 2, 3, 1, 5, 6], [0, 4, 2, 3, 1, 6, 5], [0, 4, 2, 5, 1, 3, 6], [0, 4, 2, 6, 1, 5, 3], [0, 4, 3, 2, 1, 5, 6], [0, 4, 3, 2, 1, 6, 5], [0, 4, 5, 3, 1, 2, 6], [0, 4, 5, 6, 1, 2, 3], [0, 4, 6, 3, 1, 5, 2], [0, 4, 6, 5, 1, 3, 2], [0, 5, 2, 3, 4, 1, 6], [0, 5, 2, 3, 6, 1, 4], [0, 5, 2, 4, 3, 1, 6], [0, 5, 2, 6, 4, 1, 3], [0, 5, 3, 2, 4, 1, 6], [0, 5, 3, 2, 6, 1, 4], [0, 5, 4, 3, 2, 1, 6], [0, 5, 4, 6, 2, 1, 3], [0, 5, 6, 3, 4, 1, 2], [0, 5, 6, 4, 3, 1, 2], [0, 6, 2, 3, 4, 5, 1], [0, 6, 2, 3, 5, 4, 1], [0, 6, 2, 4, 3, 5, 1], [0, 6, 2, 5, 4, 3, 1], [0, 6, 3, 2, 4, 5, 1], [0, 6, 3, 2, 5, 4, 1], [0, 6, 4, 3, 2, 5, 1], [0, 6, 4, 5, 2, 3, 1], [0, 6, 5, 3, 4, 2, 1], [0, 6, 5, 4, 3, 2, 1], [1, 0, 2, 3, 4, 5, 6], [1, 0, 2, 3, 4, 6, 5], [1, 0, 2, 3, 5, 4, 6], [1, 0, 2, 3, 6, 5, 4], [1, 0, 2, 4, 3, 5, 6], [1, 0, 2, 4, 3, 6, 5], [1, 0, 2, 5, 4, 3, 6], [1, 0, 2, 5, 6, 3, 4], [1, 0, 2, 6, 4, 5, 3], [1, 0, 2, 6, 5, 4, 3], [1, 0, 3, 2, 4, 5, 6], [1, 0, 3, 2, 4, 6, 5], [1, 0, 3, 2, 5, 4, 6], [1, 0, 3, 2, 6, 5, 4], [1, 0, 4, 3, 2, 5, 6], [1, 0, 4, 3, 2, 6, 5], [1, 0, 4, 5, 2, 3, 6], [1, 0, 4, 6, 2, 5, 3], [1, 0, 5, 3, 4, 2, 6], [1, 0, 5, 3, 6, 2, 4], [1, 0, 5, 4, 3, 2, 6], [1, 0, 5, 6, 4, 2, 3], [1, 0, 6, 3, 4, 5, 2], [1, 0, 6, 3, 5, 4, 2], [1, 0, 6, 4, 3, 5, 2], [1, 0, 6, 5, 4, 3, 2], [2, 1, 0, 3, 4, 5, 6], [2, 1, 0, 3, 4, 6, 5], [2, 1, 0, 3, 5, 4, 6], [2, 1, 0, 3, 6, 5, 4], [2, 1, 0, 4, 3, 5, 6], [2, 1, 0, 4, 3, 6, 5], [2, 1, 0, 5, 4, 3, 6], [2, 1, 0, 5, 6, 3, 4], [2, 1, 0, 6, 4, 5, 3], [2, 1, 0, 6, 5, 4, 3], [2, 3, 0, 1, 4, 5, 6], [2, 3, 0, 1, 4, 6, 5], [2, 3, 0, 1, 5, 4, 6], [2, 3, 0, 1, 6, 5, 4], [2, 4, 0, 3, 1, 5, 6], [2, 4, 0, 3, 1, 6, 5], [2, 4, 0, 5, 1, 3, 6], [2, 4, 0, 6, 1, 5, 3], [2, 5, 0, 3, 4, 1, 6], [2, 5, 0, 3, 6, 1, 4], [2, 5, 0, 4, 3, 1, 6], [2, 5, 0, 6, 4, 1, 3], [2, 6, 0, 3, 4, 5, 1], [2, 6, 0, 3, 5, 4, 1], [2, 6, 0, 4, 3, 5, 1], [2, 6, 0, 5, 4, 3, 1], [3, 1, 2, 0, 4, 5, 6], [3, 1, 2, 0, 4, 6, 5], [3, 1, 2, 0, 5, 4, 6], [3, 1, 2, 0, 6, 5, 4], [3, 1, 4, 0, 2, 5, 6], [3, 1, 4, 0, 2, 6, 5], [3, 1, 5, 0, 4, 2, 6], [3, 1, 5, 0, 6, 2, 4], [3, 1, 6, 0, 4, 5, 2], [3, 1, 6, 0, 5, 4, 2], [3, 2, 1, 0, 4, 5, 6], [3, 2, 1, 0, 4, 6, 5], [3, 2, 1, 0, 5, 4, 6], [3, 2, 1, 0, 6, 5, 4], [3, 4, 2, 0, 1, 5, 6], [3, 4, 2, 0, 1, 6, 5], [3, 4, 5, 0, 1, 2, 6], [3, 4, 6, 0, 1, 5, 2], [3, 5, 2, 0, 4, 1, 6], [3, 5, 2, 0, 6, 1, 4], [3, 5, 4, 0, 2, 1, 6], [3, 5, 6, 0, 4, 1, 2], [3, 6, 2, 0, 4, 5, 1], [3, 6, 2, 0, 5, 4, 1], [3, 6, 4, 0, 2, 5, 1], [3, 6, 5, 0, 4, 2, 1], [4, 1, 2, 3, 0, 5, 6], [4, 1, 2, 3, 0, 6, 5], [4, 1, 2, 5, 0, 3, 6], [4, 1, 2, 6, 0, 5, 3], [4, 1, 3, 2, 0, 5, 6], [4, 1, 3, 2, 0, 6, 5], [4, 1, 5, 3, 0, 2, 6], [4, 1, 5, 6, 0, 2, 3], [4, 1, 6, 3, 0, 5, 2], [4, 1, 6, 5, 0, 3, 2], [4, 2, 1, 3, 0, 5, 6], [4, 2, 1, 3, 0, 6, 5], [4, 2, 1, 5, 0, 3, 6], [4, 2, 1, 6, 0, 5, 3], [4, 3, 2, 1, 0, 5, 6], [4, 3, 2, 1, 0, 6, 5], [4, 3, 5, 1, 0, 2, 6], [4, 3, 6, 1, 0, 5, 2], [4, 5, 2, 3, 0, 1, 6], [4, 5, 2, 6, 0, 1, 3], [4, 5, 3, 2, 0, 1, 6], [4, 5, 6, 3, 0, 1, 2], [4, 6, 2, 3, 0, 5, 1], [4, 6, 2, 5, 0, 3, 1], [4, 6, 3, 2, 0, 5, 1], [4, 6, 5, 3, 0, 2, 1], [5, 1, 2, 3, 4, 0, 6], [5, 1, 2, 3, 6, 0, 4], [5, 1, 2, 4, 3, 0, 6], [5, 1, 2, 6, 4, 0, 3], [5, 1, 3, 2, 4, 0, 6], [5, 1, 3, 2, 6, 0, 4], [5, 1, 4, 3, 2, 0, 6], [5, 1, 4, 6, 2, 0, 3], [5, 1, 6, 3, 4, 0, 2], [5, 1, 6, 4, 3, 0, 2], [5, 2, 1, 3, 4, 0, 6], [5, 2, 1, 3, 6, 0, 4], [5, 2, 1, 4, 3, 0, 6], [5, 2, 1, 6, 4, 0, 3], [5, 3, 2, 1, 4, 0, 6], [5, 3, 2, 1, 6, 0, 4], [5, 3, 4, 1, 2, 0, 6], [5, 3, 6, 1, 4, 0, 2], [5, 4, 2, 3, 1, 0, 6], [5, 4, 2, 6, 1, 0, 3], [5, 4, 3, 2, 1, 0, 6], [5, 4, 6, 3, 1, 0, 2], [5, 6, 2, 3, 4, 0, 1], [5, 6, 2, 4, 3, 0, 1], [5, 6, 3, 2, 4, 0, 1], [5, 6, 4, 3, 2, 0, 1], [6, 1, 2, 3, 4, 5, 0], [6, 1, 2, 3, 5, 4, 0], [6, 1, 2, 4, 3, 5, 0], [6, 1, 2, 5, 4, 3, 0], [6, 1, 3, 2, 4, 5, 0], [6, 1, 3, 2, 5, 4, 0], [6, 1, 4, 3, 2, 5, 0], [6, 1, 4, 5, 2, 3, 0], [6, 1, 5, 3, 4, 2, 0], [6, 1, 5, 4, 3, 2, 0], [6, 2, 1, 3, 4, 5, 0], [6, 2, 1, 3, 5, 4, 0], [6, 2, 1, 4, 3, 5, 0], [6, 2, 1, 5, 4, 3, 0], [6, 3, 2, 1, 4, 5, 0], [6, 3, 2, 1, 5, 4, 0], [6, 3, 4, 1, 2, 5, 0], [6, 3, 5, 1, 4, 2, 0], [6, 4, 2, 3, 1, 5, 0], [6, 4, 2, 5, 1, 3, 0], [6, 4, 3, 2, 1, 5, 0], [6, 4, 5, 3, 1, 2, 0], [6, 5, 2, 3, 4, 1, 0], [6, 5, 2, 4, 3, 1, 0], [6, 5, 3, 2, 4, 1, 0], [6, 5, 4, 3, 2, 1, 0]]), (4, [[0, 1, 2, 3], [0, 1, 3, 2], [0, 2, 1, 3], [0, 3, 2, 1], [1, 0, 2, 3], [1, 0, 3, 2], [2, 1, 0, 3], [2, 3, 0, 1], [3, 1, 2, 0], [3, 2, 1, 0]]), (5, [[0, 1, 2, 3, 4], [0, 1, 2, 4, 3], [0, 1, 3, 2, 4], [0, 1, 4, 3, 2], [0, 2, 1, 3, 4], [0, 2, 1, 4, 3], [0, 3, 2, 1, 4], [0, 3, 4, 1, 2], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [1, 0, 2, 3, 4], [1, 0, 2, 4, 3], [1, 0, 3, 2, 4], [1, 0, 4, 3, 2], [2, 1, 0, 3, 4], [2, 1, 0, 4, 3], [2, 3, 0, 1, 4], [2, 4, 0, 3, 1], [3, 1, 2, 0, 4], [3, 1, 4, 0, 2], [3, 2, 1, 0, 4], [3, 4, 2, 0, 1], [4, 1, 2, 3, 0], [4, 1, 3, 2, 0], [4, 2, 1, 3, 0], [4, 3, 2, 1, 0]])]]\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-involution-permutations-fixed-point-image","generated_at":"2026-09-29T14:39:25.694967+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.","root_cause":"The fixed point image step uses 0 instead of i.","sha256":"2988bbd1fe468a8739865a6fcc7717a65590fced9f1a1023a18eab04dfa32d97","title":"Involution permutations: fixed point image · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verified":true,"visibility":"public","verification":{"attempt":{"elapsed_ms":52.574,"exit_code":1,"observations":[{"actual":[[1,0],[1,1]],"check":"explicit oracle 0","expected":[[0,1],[1,0]],"passed":false},{"actual":[[]],"check":"explicit oracle 1","expected":[[]],"passed":true},{"actual":[[1,0,3,2,5,4,6],[1,0,3,2,6,6,4],[1,0,3,2,6,6,5],[1,0,3,2,6,6,6],[1,0,4,5,2,3,6],[1,0,4,6,2,6,3],[1,0,4,6,2,6,5],[1,0,4,6,2,6,6],[1,0,5,4,3,2,6],[1,0,5,6,6,2,3],[1,0,5,6,6,2,4],[1,0,5,6,6,2,6],[1,0,6,4,3,6,2],[1,0,6,4,3,6,5],[1,0,6,4,3,6,6],[1,0,6,5,6,3,2],[1,0,6,5,6,3,4],[1,0,6,5,6,3,6],[1,0,6,6,5,4,2],[1,0,6,6,5,4,3],[1,0,6,6,5,4,6],[1,0,6,6,6,6,2],[1,0,6,6,6,6,3],[1,0,6,6,6,6,4],[1,0,6,6,6,6,5],[1,0,6,6,6,6,6],[2,3,0,1,5,4,6],[2,3,0,1,6,6,4],[2,3,0,1,6,6,5],[2,3,0,1,6,6,6],[2,4,0,5,1,3,6],[2,4,0,6,1,6,3],[2,4,0,6,1,6,5],[2,4,0,6,1,6,6],[2,5,0,4,3,1,6],[2,5,0,6,6,1,3],[2,5,0,6,6,1,4],[2,5,0,6,6,1,6],[2,6,0,4,3,6,1],[2,6,0,4,3,6,5],[2,6,0,4,3,6,6],[2,6,0,5,6,3,1],[2,6,0,5,6,3,4],[2,6,0,5,6,3,6],[2,6,0,6,5,4,1],[2,6,0,6,5,4,3],[2,6,0,6,5,4,6],[2,6,0,6,6,6,1],[2,6,0,6,6,6,3],[2,6,0,6,6,6,4],[2,6,0,6,6,6,5],[2,6,0,6,6,6,6],[3,2,1,0,5,4,6],[3,2,1,0,6,6,4],[3,2,1,0,6,6,5],[3,2,1,0,6,6,6],[3,4,5,0,1,2,6],[3,4,6,0,1,6,2],[3,4,6,0,1,6,5],[3,4,6,0,1,6,6],[3,5,4,0,2,1,6],[3,5,6,0,6,1,2],[3,5,6,0,6,1,4],[3,5,6,0,6,1,6],[3,6,4,0,2,6,1],[3,6,4,0,2,6,5],[3,6,4,0,2,6,6],[3,6,5,0,6,2,1],[3,6,5,0,6,2,4],[3,6,5,0,6,2,6],[3,6,6,0,5,4,1],[3,6,6,0,5,4,2],[3,6,6,0,5,4,6],[3,6,6,0,6,6,1],[3,6,6,0,6,6,2],[3,6,6,0,6,6,4],[3,6,6,0,6,6,5],[3,6,6,0,6,6,6],[4,2,1,5,0,3,6],[4,2,1,6,0,6,3],[4,2,1,6,0,6,5],[4,2,1,6,0,6,6],[4,3,5,1,0,2,6],[4,3,6,1,0,6,2],[4,3,6,1,0,6,5],[4,3,6,1,0,6,6],[4,5,3,2,0,1,6],[4,5,6,6,0,1,2],[4,5,6,6,0,1,3],[4,5,6,6,0,1,6],[4,6,3,2,0,6,1],[4,6,3,2,0,6,5],[4,6,3,2,0,6,6],[4,6,5,6,0,2,1],[4,6,5,6,0,2,3],[4,6,5,6,0,2,6],[4,6,6,5,0,3,1],[4,6,6,5,0,3,2],[4,6,6,5,0,3,6],[4,6,6,6,0,6,1],[4,6,6,6,0,6,2],[4,6,6,6,0,6,3],[4,6,6,6,0,6,5],[4,6,6,6,0,6,6],[5,2,1,4,3,0,6],[5,2,1,6,6,0,3],[5,2,1,6,6,0,4],[5,2,1,6,6,0,6],[5,3,4,1,2,0,6],[5,3,6,1,6,0,2],[5,3,6,1,6,0,4],[5,3,6,1,6,0,6],[5,4,3,2,1,0,6],[5,4,6,6,1,0,2],[5,4,6,6,1,0,3],[5,4,6,6,1,0,6],[5,6,3,2,6,0,1],[5,6,3,2,6,0,4],[5,6,3,2,6,0,6],[5,6,4,6,2,0,1],[5,6,4,6,2,0,3],[5,6,4,6,2,0,6],[5,6,6,4,3,0,1],[5,6,6,4,3,0,2],[5,6,6,4,3,0,6],[5,6,6,6,6,0,1],[5,6,6,6,6,0,2],[5,6,6,6,6,0,3],[5,6,6,6,6,0,4],[5,6,6,6,6,0,6],[6,2,1,4,3,6,0],[6,2,1,4,3,6,5],[6,2,1,4,3,6,6],[6,2,1,5,6,3,0],[6,2,1,5,6,3,4],[6,2,1,5,6,3,6],[6,2,1,6,5,4,0],[6,2,1,6,5,4,3],[6,2,1,6,5,4,6],[6,2,1,6,6,6,0],[6,2,1,6,6,6,3],[6,2,1,6,6,6,4],[6,2,1,6,6,6,5],[6,2,1,6,6,6,6],[6,3,4,1,2,6,0],[6,3,4,1,2,6,5],[6,3,4,1,2,6,6],[6,3,5,1,6,2,0],[6,3,5,1,6,2,4],[6,3,5,1,6,2,6],[6,3,6,1,5,4,0],[6,3,6,1,5,4,2],[6,3,6,1,5,4,6],[6,3,6,1,6,6,0],[6,3,6,1,6,6,2],[6,3,6,1,6,6,4],[6,3,6,1,6,6,5],[6,3,6,1,6,6,6],[6,4,3,2,1,6,0],[6,4,3,2,1,6,5],[6,4,3,2,1,6,6],[6,4,5,6,1,2,0],[6,4,5,6,1,2,3],[6,4,5,6,1,2,6],[6,4,6,5,1,3,0],[6,4,6,5,1,3,2],[6,4,6,5,1,3,6],[6,4,6,6,1,6,0],[6,4,6,6,1,6,2],[6,4,6,6,1,6,3],[6,4,6,6,1,6,5],[6,4,6,6,1,6,6],[6,5,3,2,6,1,0],[6,5,3,2,6,1,4],[6,5,3,2,6,1,6],[6,5,4,6,2,1,0],[6,5,4,6,2,1,3],[6,5,4,6,2,1,6],[6,5,6,4,3,1,0],[6,5,6,4,3,1,2],[6,5,6,4,3,1,6],[6,5,6,6,6,1,0],[6,5,6,6,6,1,2],[6,5,6,6,6,1,3],[6,5,6,6,6,1,4],[6,5,6,6,6,1,6],[6,6,3,2,5,4,0],[6,6,3,2,5,4,1],[6,6,3,2,5,4,6],[6,6,3,2,6,6,0],[6,6,3,2,6,6,1],[6,6,3,2,6,6,4],[6,6,3,2,6,6,5],[6,6,3,2,6,6,6],[6,6,4,5,2,3,0],[6,6,4,5,2,3,1],[6,6,4,5,2,3,6],[6,6,4,6,2,6,0],[6,6,4,6,2,6,1],[6,6,4,6,2,6,3],[6,6,4,6,2,6,5],[6,6,4,6,2,6,6],[6,6,5,4,3,2,0],[6,6,5,4,3,2,1],[6,6,5,4,3,2,6],[6,6,5,6,6,2,0],[6,6,5,6,6,2,1],[6,6,5,6,6,2,3],[6,6,5,6,6,2,4],[6,6,5,6,6,2,6],[6,6,6,4,3,6,0],[6,6,6,4,3,6,1],[6,6,6,4,3,6,2],[6,6,6,4,3,6,5],[6,6,6,4,3,6,6],[6,6,6,5,6,3,0],[6,6,6,5,6,3,1],[6,6,6,5,6,3,2],[6,6,6,5,6,3,4],[6,6,6,5,6,3,6],[6,6,6,6,5,4,0],[6,6,6,6,5,4,1],[6,6,6,6,5,4,2],[6,6,6,6,5,4,3],[6,6,6,6,5,4,6],[6,6,6,6,6,6,0],[6,6,6,6,6,6,1],[6,6,6,6,6,6,2],[6,6,6,6,6,6,3],[6,6,6,6,6,6,4],[6,6,6,6,6,6,5],[6,6,6,6,6,6,6]],"check":"explicit oracle 2","expected":[[0,1,2,3,4,5,6],[0,1,2,3,4,6,5],[0,1,2,3,5,4,6],[0,1,2,3,6,5,4],[0,1,2,4,3,5,6],[0,1,2,4,3,6,5],[0,1,2,5,4,3,6],[0,1,2,5,6,3,4],[0,1,2,6,4,5,3],[0,1,2,6,5,4,3],[0,1,3,2,4,5,6],[0,1,3,2,4,6,5],[0,1,3,2,5,4,6],[0,1,3,2,6,5,4],[0,1,4,3,2,5,6],[0,1,4,3,2,6,5],[0,1,4,5,2,3,6],[0,1,4,6,2,5,3],[0,1,5,3,4,2,6],[0,1,5,3,6,2,4],[0,1,5,4,3,2,6],[0,1,5,6,4,2,3],[0,1,6,3,4,5,2],[0,1,6,3,5,4,2],[0,1,6,4,3,5,2],[0,1,6,5,4,3,2],[0,2,1,3,4,5,6],[0,2,1,3,4,6,5],[0,2,1,3,5,4,6],[0,2,1,3,6,5,4],[0,2,1,4,3,5,6],[0,2,1,4,3,6,5],[0,2,1,5,4,3,6],[0,2,1,5,6,3,4],[0,2,1,6,4,5,3],[0,2,1,6,5,4,3],[0,3,2,1,4,5,6],[0,3,2,1,4,6,5],[0,3,2,1,5,4,6],[0,3,2,1,6,5,4],[0,3,4,1,2,5,6],[0,3,4,1,2,6,5],[0,3,5,1,4,2,6],[0,3,5,1,6,2,4],[0,3,6,1,4,5,2],[0,3,6,1,5,4,2],[0,4,2,3,1,5,6],[0,4,2,3,1,6,5],[0,4,2,5,1,3,6],[0,4,2,6,1,5,3],[0,4,3,2,1,5,6],[0,4,3,2,1,6,5],[0,4,5,3,1,2,6],[0,4,5,6,1,2,3],[0,4,6,3,1,5,2],[0,4,6,5,1,3,2],[0,5,2,3,4,1,6],[0,5,2,3,6,1,4],[0,5,2,4,3,1,6],[0,5,2,6,4,1,3],[0,5,3,2,4,1,6],[0,5,3,2,6,1,4],[0,5,4,3,2,1,6],[0,5,4,6,2,1,3],[0,5,6,3,4,1,2],[0,5,6,4,3,1,2],[0,6,2,3,4,5,1],[0,6,2,3,5,4,1],[0,6,2,4,3,5,1],[0,6,2,5,4,3,1],[0,6,3,2,4,5,1],[0,6,3,2,5,4,1],[0,6,4,3,2,5,1],[0,6,4,5,2,3,1],[0,6,5,3,4,2,1],[0,6,5,4,3,2,1],[1,0,2,3,4,5,6],[1,0,2,3,4,6,5],[1,0,2,3,5,4,6],[1,0,2,3,6,5,4],[1,0,2,4,3,5,6],[1,0,2,4,3,6,5],[1,0,2,5,4,3,6],[1,0,2,5,6,3,4],[1,0,2,6,4,5,3],[1,0,2,6,5,4,3],[1,0,3,2,4,5,6],[1,0,3,2,4,6,5],[1,0,3,2,5,4,6],[1,0,3,2,6,5,4],[1,0,4,3,2,5,6],[1,0,4,3,2,6,5],[1,0,4,5,2,3,6],[1,0,4,6,2,5,3],[1,0,5,3,4,2,6],[1,0,5,3,6,2,4],[1,0,5,4,3,2,6],[1,0,5,6,4,2,3],[1,0,6,3,4,5,2],[1,0,6,3,5,4,2],[1,0,6,4,3,5,2],[1,0,6,5,4,3,2],[2,1,0,3,4,5,6],[2,1,0,3,4,6,5],[2,1,0,3,5,4,6],[2,1,0,3,6,5,4],[2,1,0,4,3,5,6],[2,1,0,4,3,6,5],[2,1,0,5,4,3,6],[2,1,0,5,6,3,4],[2,1,0,6,4,5,3],[2,1,0,6,5,4,3],[2,3,0,1,4,5,6],[2,3,0,1,4,6,5],[2,3,0,1,5,4,6],[2,3,0,1,6,5,4],[2,4,0,3,1,5,6],[2,4,0,3,1,6,5],[2,4,0,5,1,3,6],[2,4,0,6,1,5,3],[2,5,0,3,4,1,6],[2,5,0,3,6,1,4],[2,5,0,4,3,1,6],[2,5,0,6,4,1,3],[2,6,0,3,4,5,1],[2,6,0,3,5,4,1],[2,6,0,4,3,5,1],[2,6,0,5,4,3,1],[3,1,2,0,4,5,6],[3,1,2,0,4,6,5],[3,1,2,0,5,4,6],[3,1,2,0,6,5,4],[3,1,4,0,2,5,6],[3,1,4,0,2,6,5],[3,1,5,0,4,2,6],[3,1,5,0,6,2,4],[3,1,6,0,4,5,2],[3,1,6,0,5,4,2],[3,2,1,0,4,5,6],[3,2,1,0,4,6,5],[3,2,1,0,5,4,6],[3,2,1,0,6,5,4],[3,4,2,0,1,5,6],[3,4,2,0,1,6,5],[3,4,5,0,1,2,6],[3,4,6,0,1,5,2],[3,5,2,0,4,1,6],[3,5,2,0,6,1,4],[3,5,4,0,2,1,6],[3,5,6,0,4,1,2],[3,6,2,0,4,5,1],[3,6,2,0,5,4,1],[3,6,4,0,2,5,1],[3,6,5,0,4,2,1],[4,1,2,3,0,5,6],[4,1,2,3,0,6,5],[4,1,2,5,0,3,6],[4,1,2,6,0,5,3],[4,1,3,2,0,5,6],[4,1,3,2,0,6,5],[4,1,5,3,0,2,6],[4,1,5,6,0,2,3],[4,1,6,3,0,5,2],[4,1,6,5,0,3,2],[4,2,1,3,0,5,6],[4,2,1,3,0,6,5],[4,2,1,5,0,3,6],[4,2,1,6,0,5,3],[4,3,2,1,0,5,6],[4,3,2,1,0,6,5],[4,3,5,1,0,2,6],[4,3,6,1,0,5,2],[4,5,2,3,0,1,6],[4,5,2,6,0,1,3],[4,5,3,2,0,1,6],[4,5,6,3,0,1,2],[4,6,2,3,0,5,1],[4,6,2,5,0,3,1],[4,6,3,2,0,5,1],[4,6,5,3,0,2,1],[5,1,2,3,4,0,6],[5,1,2,3,6,0,4],[5,1,2,4,3,0,6],[5,1,2,6,4,0,3],[5,1,3,2,4,0,6],[5,1,3,2,6,0,4],[5,1,4,3,2,0,6],[5,1,4,6,2,0,3],[5,1,6,3,4,0,2],[5,1,6,4,3,0,2],[5,2,1,3,4,0,6],[5,2,1,3,6,0,4],[5,2,1,4,3,0,6],[5,2,1,6,4,0,3],[5,3,2,1,4,0,6],[5,3,2,1,6,0,4],[5,3,4,1,2,0,6],[5,3,6,1,4,0,2],[5,4,2,3,1,0,6],[5,4,2,6,1,0,3],[5,4,3,2,1,0,6],[5,4,6,3,1,0,2],[5,6,2,3,4,0,1],[5,6,2,4,3,0,1],[5,6,3,2,4,0,1],[5,6,4,3,2,0,1],[6,1,2,3,4,5,0],[6,1,2,3,5,4,0],[6,1,2,4,3,5,0],[6,1,2,5,4,3,0],[6,1,3,2,4,5,0],[6,1,3,2,5,4,0],[6,1,4,3,2,5,0],[6,1,4,5,2,3,0],[6,1,5,3,4,2,0],[6,1,5,4,3,2,0],[6,2,1,3,4,5,0],[6,2,1,3,5,4,0],[6,2,1,4,3,5,0],[6,2,1,5,4,3,0],[6,3,2,1,4,5,0],[6,3,2,1,5,4,0],[6,3,4,1,2,5,0],[6,3,5,1,4,2,0],[6,4,2,3,1,5,0],[6,4,2,5,1,3,0],[6,4,3,2,1,5,0],[6,4,5,3,1,2,0],[6,5,2,3,4,1,0],[6,5,2,4,3,1,0],[6,5,3,2,4,1,0],[6,5,4,3,2,1,0]],"passed":false},{"actual":[[0]],"check":"explicit oracle 3","expected":[[0]],"passed":true},{"actual":[[1,0,2],[2,2,0],[2,2,1],[2,2,2]],"check":"explicit oracle 4","expected":[[0,1,2],[0,2,1],[1,0,2],[2,1,0]],"passed":false},{"actual":[[1,0,3,2],[1,0,3,3],[2,3,0,1],[2,3,0,3],[3,2,1,0],[3,2,1,3],[3,3,3,0],[3,3,3,1],[3,3,3,2],[3,3,3,3]],"check":"explicit oracle 5","expected":[[0,1,2,3],[0,1,3,2],[0,2,1,3],[0,3,2,1],[1,0,2,3],[1,0,3,2],[2,1,0,3],[2,3,0,1],[3,1,2,0],[3,2,1,0]],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"explicit oracle 0\", \"actual\": [[1, 0], [1, 1]], \"expected\": [[0, 1], [1, 0]], \"passed\": false}, {\"check\": \"explicit oracle 1\", \"actual\": [[]], \"expected\": [[]], \"passed\": true}, {\"check\": \"explicit oracle 2\", \"actual\": [[1, 0, 3, 2, 5, 4, 6], [1, 0, 3, 2, 6, 6, 4], [1, 0, 3, 2, 6, 6, 5], [1, 0, 3, 2, 6, 6, 6], [1, 0, 4, 5, 2, 3, 6], [1, 0, 4, 6, 2, 6, 3], [1, 0, 4, 6, 2, 6, 5], [1, 0, 4, 6, 2, 6, 6], [1, 0, 5, 4, 3, 2, 6], [1, 0, 5, 6, 6, 2, 3], [1, 0, 5, 6, 6, 2, 4], [1, 0, 5, 6, 6, 2, 6], [1, 0, 6, 4, 3, 6, 2], [1, 0, 6, 4, 3, 6, 5], [1, 0, 6, 4, 3, 6, 6], [1, 0, 6, 5, 6, 3, 2], [1, 0, 6, 5, 6, 3, 4], [1, 0, 6, 5, 6, 3, 6], [1, 0, 6, 6, 5, 4, 2], [1, 0, 6, 6, 5, 4, 3], [1, 0, 6, 6, 5, 4, 6], [1, 0, 6, 6, 6, 6, 2], [1, 0, 6, 6, 6, 6, 3], [1, 0, 6, 6, 6, 6, 4], [1, 0, 6, 6, 6, 6, 5], [1, 0, 6, 6, 6, 6, 6], [2, 3, 0, 1, 5, 4, 6], [2, 3, 0, 1, 6, 6, 4], [2, 3, 0, 1, 6, 6, 5], [2, 3, 0, 1, 6, 6, 6], [2, 4, 0, 5, 1, 3, 6], [2, 4, 0, 6, 1, 6, 3], [2, 4, 0, 6, 1, 6, 5], [2, 4, 0, 6, 1, 6, 6], [2, 5, 0, 4, 3, 1, 6], [2, 5, 0, 6, 6, 1, 3], [2, 5, 0, 6, 6, 1, 4], [2, 5, 0, 6, 6, 1, 6], [2, 6, 0, 4, 3, 6, 1], [2, 6, 0, 4, 3, 6, 5], [2, 6, 0, 4, 3, 6, 6], [2, 6, 0, 5, 6, 3, 1], [2, 6, 0, 5, 6, 3, 4], [2, 6, 0, 5, 6, 3, 6], [2, 6, 0, 6, 5, 4, 1], [2, 6, 0, 6, 5, 4, 3], [2, 6, 0, 6, 5, 4, 6], [2, 6, 0, 6, 6, 6, 1], [2, 6, 0, 6, 6, 6, 3], [2, 6, 0, 6, 6, 6, 4], [2, 6, 0, 6, 6, 6, 5], [2, 6, 0, 6, 6, 6, 6], [3, 2, 1, 0, 5, 4, 6], [3, 2, 1, 0, 6, 6, 4], [3, 2, 1, 0, 6, 6, 5], [3, 2, 1, 0, 6, 6, 6], [3, 4, 5, 0, 1, 2, 6], [3, 4, 6, 0, 1, 6, 2], [3, 4, 6, 0, 1, 6, 5], [3, 4, 6, 0, 1, 6, 6], [3, 5, 4, 0, 2, 1, 6], [3, 5, 6, 0, 6, 1, 2], [3, 5, 6, 0, 6, 1, 4], [3, 5, 6, 0, 6, 1, 6], [3, 6, 4, 0, 2, 6, 1], [3, 6, 4, 0, 2, 6, 5], [3, 6, 4, 0, 2, 6, 6], [3, 6, 5, 0, 6, 2, 1], [3, 6, 5, 0, 6, 2, 4], [3, 6, 5, 0, 6, 2, 6], [3, 6, 6, 0, 5, 4, 1], [3, 6, 6, 0, 5, 4, 2], [3, 6, 6, 0, 5, 4, 6], [3, 6, 6, 0, 6, 6, 1], [3, 6, 6, 0, 6, 6, 2], [3, 6, 6, 0, 6, 6, 4], [3, 6, 6, 0, 6, 6, 5], [3, 6, 6, 0, 6, 6, 6], [4, 2, 1, 5, 0, 3, 6], [4, 2, 1, 6, 0, 6, 3], [4, 2, 1, 6, 0, 6, 5], [4, 2, 1, 6, 0, 6, 6], [4, 3, 5, 1, 0, 2, 6], [4, 3, 6, 1, 0, 6, 2], [4, 3, 6, 1, 0, 6, 5], [4, 3, 6, 1, 0, 6, 6], [4, 5, 3, 2, 0, 1, 6], [4, 5, 6, 6, 0, 1, 2], [4, 5, 6, 6, 0, 1, 3], [4, 5, 6, 6, 0, 1, 6], [4, 6, 3, 2, 0, 6, 1], [4, 6, 3, 2, 0, 6, 5], [4, 6, 3, 2, 0, 6, 6], [4, 6, 5, 6, 0, 2, 1], [4, 6, 5, 6, 0, 2, 3], [4, 6, 5, 6, 0, 2, 6], [4, 6, 6, 5, 0, 3, 1], [4, 6, 6, 5, 0, 3, 2], [4, 6, 6, 5, 0, 3, 6], [4, 6, 6, 6, 0, 6, 1], [4, 6, 6, 6, 0, 6, 2], [4, 6, 6, 6, 0, 6, 3], [4, 6, 6, 6, 0, 6, 5], [4, 6, 6, 6, 0, 6, 6], [5, 2, 1, 4, 3, 0, 6], [5, 2, 1, 6, 6, 0, 3], [5, 2, 1, 6, 6, 0, 4], [5, 2, 1, 6, 6, 0, 6], [5, 3, 4, 1, 2, 0, 6], [5, 3, 6, 1, 6, 0, 2], [5, 3, 6, 1, 6, 0, 4], [5, 3, 6, 1, 6, 0, 6], [5, 4, 3, 2, 1, 0, 6], [5, 4, 6, 6, 1, 0, 2], [5, 4, 6, 6, 1, 0, 3], [5, 4, 6, 6, 1, 0, 6], [5, 6, 3, 2, 6, 0, 1], [5, 6, 3, 2, 6, 0, 4], [5, 6, 3, 2, 6, 0, 6], [5, 6, 4, 6, 2, 0, 1], [5, 6, 4, 6, 2, 0, 3], [5, 6, 4, 6, 2, 0, 6], [5, 6, 6, 4, 3, 0, 1], [5, 6, 6, 4, 3, 0, 2], [5, 6, 6, 4, 3, 0, 6], [5, 6, 6, 6, 6, 0, 1], [5, 6, 6, 6, 6, 0, 2], [5, 6, 6, 6, 6, 0, 3], [5, 6, 6, 6, 6, 0, 4], [5, 6, 6, 6, 6, 0, 6], [6, 2, 1, 4, 3, 6, 0], [6, 2, 1, 4, 3, 6, 5], [6, 2, 1, 4, 3, 6, 6], [6, 2, 1, 5, 6, 3, 0], [6, 2, 1, 5, 6, 3, 4], [6, 2, 1, 5, 6, 3, 6], [6, 2, 1, 6, 5, 4, 0], [6, 2, 1, 6, 5, 4, 3], [6, 2, 1, 6, 5, 4, 6], [6, 2, 1, 6, 6, 6, 0], [6, 2, 1, 6, 6, 6, 3], [6, 2, 1, 6, 6, 6, 4], [6, 2, 1, 6, 6, 6, 5], [6, 2, 1, 6, 6, 6, 6], [6, 3, 4, 1, 2, 6, 0], [6, 3, 4, 1, 2, 6, 5], [6, 3, 4, 1, 2, 6, 6], [6, 3, 5, 1, 6, 2, 0], [6, 3, 5, 1, 6, 2, 4], [6, 3, 5, 1, 6, 2, 6], [6, 3, 6, 1, 5, 4, 0], [6, 3, 6, 1, 5, 4, 2], [6, 3, 6, 1, 5, 4, 6], [6, 3, 6, 1, 6, 6, 0], [6, 3, 6, 1, 6, 6, 2], [6, 3, 6, 1, 6, 6, 4], [6, 3, 6, 1, 6, 6, 5], [6, 3, 6, 1, 6, 6, 6], [6, 4, 3, 2, 1, 6, 0], [6, 4, 3, 2, 1, 6, 5], [6, 4, 3, 2, 1, 6, 6], [6, 4, 5, 6, 1, 2, 0], [6, 4, 5, 6, 1, 2, 3], [6, 4, 5, 6, 1, 2, 6], [6, 4, 6, 5, 1, 3, 0], [6, 4, 6, 5, 1, 3, 2], [6, 4, 6, 5, 1, 3, 6], [6, 4, 6, 6, 1, 6, 0], [6, 4, 6, 6, 1, 6, 2], [6, 4, 6, 6, 1, 6, 3], [6, 4, 6, 6, 1, 6, 5], [6, 4, 6, 6, 1, 6, 6], [6, 5, 3, 2, 6, 1, 0], [6, 5, 3, 2, 6, 1, 4], [6, 5, 3, 2, 6, 1, 6], [6, 5, 4, 6, 2, 1, 0], [6, 5, 4, 6, 2, 1, 3], [6, 5, 4, 6, 2, 1, 6], [6, 5, 6, 4, 3, 1, 0], [6, 5, 6, 4, 3, 1, 2], [6, 5, 6, 4, 3, 1, 6], [6, 5, 6, 6, 6, 1, 0], [6, 5, 6, 6, 6, 1, 2], [6, 5, 6, 6, 6, 1, 3], [6, 5, 6, 6, 6, 1, 4], [6, 5, 6, 6, 6, 1, 6], [6, 6, 3, 2, 5, 4, 0], [6, 6, 3, 2, 5, 4, 1], [6, 6, 3, 2, 5, 4, 6], [6, 6, 3, 2, 6, 6, 0], [6, 6, 3, 2, 6, 6, 1], [6, 6, 3, 2, 6, 6, 4], [6, 6, 3, 2, 6, 6, 5], [6, 6, 3, 2, 6, 6, 6], [6, 6, 4, 5, 2, 3, 0], [6, 6, 4, 5, 2, 3, 1], [6, 6, 4, 5, 2, 3, 6], [6, 6, 4, 6, 2, 6, 0], [6, 6, 4, 6, 2, 6, 1], [6, 6, 4, 6, 2, 6, 3], [6, 6, 4, 6, 2, 6, 5], [6, 6, 4, 6, 2, 6, 6], [6, 6, 5, 4, 3, 2, 0], [6, 6, 5, 4, 3, 2, 1], [6, 6, 5, 4, 3, 2, 6], [6, 6, 5, 6, 6, 2, 0], [6, 6, 5, 6, 6, 2, 1], [6, 6, 5, 6, 6, 2, 3], [6, 6, 5, 6, 6, 2, 4], [6, 6, 5, 6, 6, 2, 6], [6, 6, 6, 4, 3, 6, 0], [6, 6, 6, 4, 3, 6, 1], [6, 6, 6, 4, 3, 6, 2], [6, 6, 6, 4, 3, 6, 5], [6, 6, 6, 4, 3, 6, 6], [6, 6, 6, 5, 6, 3, 0], [6, 6, 6, 5, 6, 3, 1], [6, 6, 6, 5, 6, 3, 2], [6, 6, 6, 5, 6, 3, 4], [6, 6, 6, 5, 6, 3, 6], [6, 6, 6, 6, 5, 4, 0], [6, 6, 6, 6, 5, 4, 1], [6, 6, 6, 6, 5, 4, 2], [6, 6, 6, 6, 5, 4, 3], [6, 6, 6, 6, 5, 4, 6], [6, 6, 6, 6, 6, 6, 0], [6, 6, 6, 6, 6, 6, 1], [6, 6, 6, 6, 6, 6, 2], [6, 6, 6, 6, 6, 6, 3], [6, 6, 6, 6, 6, 6, 4], [6, 6, 6, 6, 6, 6, 5], [6, 6, 6, 6, 6, 6, 6]], \"expected\": [[0, 1, 2, 3, 4, 5, 6], [0, 1, 2, 3, 4, 6, 5], [0, 1, 2, 3, 5, 4, 6], [0, 1, 2, 3, 6, 5, 4], [0, 1, 2, 4, 3, 5, 6], [0, 1, 2, 4, 3, 6, 5], [0, 1, 2, 5, 4, 3, 6], [0, 1, 2, 5, 6, 3, 4], [0, 1, 2, 6, 4, 5, 3], [0, 1, 2, 6, 5, 4, 3], [0, 1, 3, 2, 4, 5, 6], [0, 1, 3, 2, 4, 6, 5], [0, 1, 3, 2, 5, 4, 6], [0, 1, 3, 2, 6, 5, 4], [0, 1, 4, 3, 2, 5, 6], [0, 1, 4, 3, 2, 6, 5], [0, 1, 4, 5, 2, 3, 6], [0, 1, 4, 6, 2, 5, 3], [0, 1, 5, 3, 4, 2, 6], [0, 1, 5, 3, 6, 2, 4], [0, 1, 5, 4, 3, 2, 6], [0, 1, 5, 6, 4, 2, 3], [0, 1, 6, 3, 4, 5, 2], [0, 1, 6, 3, 5, 4, 2], [0, 1, 6, 4, 3, 5, 2], [0, 1, 6, 5, 4, 3, 2], [0, 2, 1, 3, 4, 5, 6], [0, 2, 1, 3, 4, 6, 5], [0, 2, 1, 3, 5, 4, 6], [0, 2, 1, 3, 6, 5, 4], [0, 2, 1, 4, 3, 5, 6], [0, 2, 1, 4, 3, 6, 5], [0, 2, 1, 5, 4, 3, 6], [0, 2, 1, 5, 6, 3, 4], [0, 2, 1, 6, 4, 5, 3], [0, 2, 1, 6, 5, 4, 3], [0, 3, 2, 1, 4, 5, 6], [0, 3, 2, 1, 4, 6, 5], [0, 3, 2, 1, 5, 4, 6], [0, 3, 2, 1, 6, 5, 4], [0, 3, 4, 1, 2, 5, 6], [0, 3, 4, 1, 2, 6, 5], [0, 3, 5, 1, 4, 2, 6], [0, 3, 5, 1, 6, 2, 4], [0, 3, 6, 1, 4, 5, 2], [0, 3, 6, 1, 5, 4, 2], [0, 4, 2, 3, 1, 5, 6], [0, 4, 2, 3, 1, 6, 5], [0, 4, 2, 5, 1, 3, 6], [0, 4, 2, 6, 1, 5, 3], [0, 4, 3, 2, 1, 5, 6], [0, 4, 3, 2, 1, 6, 5], [0, 4, 5, 3, 1, 2, 6], [0, 4, 5, 6, 1, 2, 3], [0, 4, 6, 3, 1, 5, 2], [0, 4, 6, 5, 1, 3, 2], [0, 5, 2, 3, 4, 1, 6], [0, 5, 2, 3, 6, 1, 4], [0, 5, 2, 4, 3, 1, 6], [0, 5, 2, 6, 4, 1, 3], [0, 5, 3, 2, 4, 1, 6], [0, 5, 3, 2, 6, 1, 4], [0, 5, 4, 3, 2, 1, 6], [0, 5, 4, 6, 2, 1, 3], [0, 5, 6, 3, 4, 1, 2], [0, 5, 6, 4, 3, 1, 2], [0, 6, 2, 3, 4, 5, 1], [0, 6, 2, 3, 5, 4, 1], [0, 6, 2, 4, 3, 5, 1], [0, 6, 2, 5, 4, 3, 1], [0, 6, 3, 2, 4, 5, 1], [0, 6, 3, 2, 5, 4, 1], [0, 6, 4, 3, 2, 5, 1], [0, 6, 4, 5, 2, 3, 1], [0, 6, 5, 3, 4, 2, 1], [0, 6, 5, 4, 3, 2, 1], [1, 0, 2, 3, 4, 5, 6], [1, 0, 2, 3, 4, 6, 5], [1, 0, 2, 3, 5, 4, 6], [1, 0, 2, 3, 6, 5, 4], [1, 0, 2, 4, 3, 5, 6], [1, 0, 2, 4, 3, 6, 5], [1, 0, 2, 5, 4, 3, 6], [1, 0, 2, 5, 6, 3, 4], [1, 0, 2, 6, 4, 5, 3], [1, 0, 2, 6, 5, 4, 3], [1, 0, 3, 2, 4, 5, 6], [1, 0, 3, 2, 4, 6, 5], [1, 0, 3, 2, 5, 4, 6], [1, 0, 3, 2, 6, 5, 4], [1, 0, 4, 3, 2, 5, 6], [1, 0, 4, 3, 2, 6, 5], [1, 0, 4, 5, 2, 3, 6], [1, 0, 4, 6, 2, 5, 3], [1, 0, 5, 3, 4, 2, 6], [1, 0, 5, 3, 6, 2, 4], [1, 0, 5, 4, 3, 2, 6], [1, 0, 5, 6, 4, 2, 3], [1, 0, 6, 3, 4, 5, 2], [1, 0, 6, 3, 5, 4, 2], [1, 0, 6, 4, 3, 5, 2], [1, 0, 6, 5, 4, 3, 2], [2, 1, 0, 3, 4, 5, 6], [2, 1, 0, 3, 4, 6, 5], [2, 1, 0, 3, 5, 4, 6], [2, 1, 0, 3, 6, 5, 4], [2, 1, 0, 4, 3, 5, 6], [2, 1, 0, 4, 3, 6, 5], [2, 1, 0, 5, 4, 3, 6], [2, 1, 0, 5, 6, 3, 4], [2, 1, 0, 6, 4, 5, 3], [2, 1, 0, 6, 5, 4, 3], [2, 3, 0, 1, 4, 5, 6], [2, 3, 0, 1, 4, 6, 5], [2, 3, 0, 1, 5, 4, 6], [2, 3, 0, 1, 6, 5, 4], [2, 4, 0, 3, 1, 5, 6], [2, 4, 0, 3, 1, 6, 5], [2, 4, 0, 5, 1, 3, 6], [2, 4, 0, 6, 1, 5, 3], [2, 5, 0, 3, 4, 1, 6], [2, 5, 0, 3, 6, 1, 4], [2, 5, 0, 4, 3, 1, 6], [2, 5, 0, 6, 4, 1, 3], [2, 6, 0, 3, 4, 5, 1], [2, 6, 0, 3, 5, 4, 1], [2, 6, 0, 4, 3, 5, 1], [2, 6, 0, 5, 4, 3, 1], [3, 1, 2, 0, 4, 5, 6], [3, 1, 2, 0, 4, 6, 5], [3, 1, 2, 0, 5, 4, 6], [3, 1, 2, 0, 6, 5, 4], [3, 1, 4, 0, 2, 5, 6], [3, 1, 4, 0, 2, 6, 5], [3, 1, 5, 0, 4, 2, 6], [3, 1, 5, 0, 6, 2, 4], [3, 1, 6, 0, 4, 5, 2], [3, 1, 6, 0, 5, 4, 2], [3, 2, 1, 0, 4, 5, 6], [3, 2, 1, 0, 4, 6, 5], [3, 2, 1, 0, 5, 4, 6], [3, 2, 1, 0, 6, 5, 4], [3, 4, 2, 0, 1, 5, 6], [3, 4, 2, 0, 1, 6, 5], [3, 4, 5, 0, 1, 2, 6], [3, 4, 6, 0, 1, 5, 2], [3, 5, 2, 0, 4, 1, 6], [3, 5, 2, 0, 6, 1, 4], [3, 5, 4, 0, 2, 1, 6], [3, 5, 6, 0, 4, 1, 2], [3, 6, 2, 0, 4, 5, 1], [3, 6, 2, 0, 5, 4, 1], [3, 6, 4, 0, 2, 5, 1], [3, 6, 5, 0, 4, 2, 1], [4, 1, 2, 3, 0, 5, 6], [4, 1, 2, 3, 0, 6, 5], [4, 1, 2, 5, 0, 3, 6], [4, 1, 2, 6, 0, 5, 3], [4, 1, 3, 2, 0, 5, 6], [4, 1, 3, 2, 0, 6, 5], [4, 1, 5, 3, 0, 2, 6], [4, 1, 5, 6, 0, 2, 3], [4, 1, 6, 3, 0, 5, 2], [4, 1, 6, 5, 0, 3, 2], [4, 2, 1, 3, 0, 5, 6], [4, 2, 1, 3, 0, 6, 5], [4, 2, 1, 5, 0, 3, 6], [4, 2, 1, 6, 0, 5, 3], [4, 3, 2, 1, 0, 5, 6], [4, 3, 2, 1, 0, 6, 5], [4, 3, 5, 1, 0, 2, 6], [4, 3, 6, 1, 0, 5, 2], [4, 5, 2, 3, 0, 1, 6], [4, 5, 2, 6, 0, 1, 3], [4, 5, 3, 2, 0, 1, 6], [4, 5, 6, 3, 0, 1, 2], [4, 6, 2, 3, 0, 5, 1], [4, 6, 2, 5, 0, 3, 1], [4, 6, 3, 2, 0, 5, 1], [4, 6, 5, 3, 0, 2, 1], [5, 1, 2, 3, 4, 0, 6], [5, 1, 2, 3, 6, 0, 4], [5, 1, 2, 4, 3, 0, 6], [5, 1, 2, 6, 4, 0, 3], [5, 1, 3, 2, 4, 0, 6], [5, 1, 3, 2, 6, 0, 4], [5, 1, 4, 3, 2, 0, 6], [5, 1, 4, 6, 2, 0, 3], [5, 1, 6, 3, 4, 0, 2], [5, 1, 6, 4, 3, 0, 2], [5, 2, 1, 3, 4, 0, 6], [5, 2, 1, 3, 6, 0, 4], [5, 2, 1, 4, 3, 0, 6], [5, 2, 1, 6, 4, 0, 3], [5, 3, 2, 1, 4, 0, 6], [5, 3, 2, 1, 6, 0, 4], [5, 3, 4, 1, 2, 0, 6], [5, 3, 6, 1, 4, 0, 2], [5, 4, 2, 3, 1, 0, 6], [5, 4, 2, 6, 1, 0, 3], [5, 4, 3, 2, 1, 0, 6], [5, 4, 6, 3, 1, 0, 2], [5, 6, 2, 3, 4, 0, 1], [5, 6, 2, 4, 3, 0, 1], [5, 6, 3, 2, 4, 0, 1], [5, 6, 4, 3, 2, 0, 1], [6, 1, 2, 3, 4, 5, 0], [6, 1, 2, 3, 5, 4, 0], [6, 1, 2, 4, 3, 5, 0], [6, 1, 2, 5, 4, 3, 0], [6, 1, 3, 2, 4, 5, 0], [6, 1, 3, 2, 5, 4, 0], [6, 1, 4, 3, 2, 5, 0], [6, 1, 4, 5, 2, 3, 0], [6, 1, 5, 3, 4, 2, 0], [6, 1, 5, 4, 3, 2, 0], [6, 2, 1, 3, 4, 5, 0], [6, 2, 1, 3, 5, 4, 0], [6, 2, 1, 4, 3, 5, 0], [6, 2, 1, 5, 4, 3, 0], [6, 3, 2, 1, 4, 5, 0], [6, 3, 2, 1, 5, 4, 0], [6, 3, 4, 1, 2, 5, 0], [6, 3, 5, 1, 4, 2, 0], [6, 4, 2, 3, 1, 5, 0], [6, 4, 2, 5, 1, 3, 0], [6, 4, 3, 2, 1, 5, 0], [6, 4, 5, 3, 1, 2, 0], [6, 5, 2, 3, 4, 1, 0], [6, 5, 2, 4, 3, 1, 0], [6, 5, 3, 2, 4, 1, 0], [6, 5, 4, 3, 2, 1, 0]], \"passed\": false}, {\"check\": \"explicit oracle 3\", \"actual\": [[0]], \"expected\": [[0]], \"passed\": true}, {\"check\": \"explicit oracle 4\", \"actual\": [[1, 0, 2], [2, 2, 0], [2, 2, 1], [2, 2, 2]], \"expected\": [[0, 1, 2], [0, 2, 1], [1, 0, 2], [2, 1, 0]], \"passed\": false}, {\"check\": \"explicit oracle 5\", \"actual\": [[1, 0, 3, 2], [1, 0, 3, 3], [2, 3, 0, 1], [2, 3, 0, 3], [3, 2, 1, 0], [3, 2, 1, 3], [3, 3, 3, 0], [3, 3, 3, 1], [3, 3, 3, 2], [3, 3, 3, 3]], \"expected\": [[0, 1, 2, 3], [0, 1, 3, 2], [0, 2, 1, 3], [0, 3, 2, 1], [1, 0, 2, 3], [1, 0, 3, 2], [2, 1, 0, 3], [2, 3, 0, 1], [3, 1, 2, 0], [3, 2, 1, 0]], \"passed\": false}], \"passed\": false}\n"},"broken":{"elapsed_ms":52.748,"exit_code":1,"observations":[{"actual":[[0,0],[1,0]],"check":"explicit oracle 0","expected":[[0,1],[1,0]],"passed":false},{"actual":[[]],"check":"explicit oracle 1","expected":[[]],"passed":true},{"actual":[[0,0,0,0,0,0,0],[0,0,0,0,0,6,5],[0,0,0,0,5,4,0],[0,0,0,0,6,0,4],[0,0,0,4,3,0,0],[0,0,0,4,3,6,5],[0,0,0,5,0,3,0],[0,0,0,5,6,3,4],[0,0,0,6,0,0,3],[0,0,0,6,5,4,3],[0,0,3,2,0,0,0],[0,0,3,2,0,6,5],[0,0,3,2,5,4,0],[0,0,3,2,6,0,4],[0,0,4,0,2,0,0],[0,0,4,0,2,6,5],[0,0,4,5,2,3,0],[0,0,4,6,2,0,3],[0,0,5,0,0,2,0],[0,0,5,0,6,2,4],[0,0,5,4,3,2,0],[0,0,5,6,0,2,3],[0,0,6,0,0,0,2],[0,0,6,0,5,4,2],[0,0,6,4,3,0,2],[0,0,6,5,0,3,2],[0,2,1,0,0,0,0],[0,2,1,0,0,6,5],[0,2,1,0,5,4,0],[0,2,1,0,6,0,4],[0,2,1,4,3,0,0],[0,2,1,4,3,6,5],[0,2,1,5,0,3,0],[0,2,1,5,6,3,4],[0,2,1,6,0,0,3],[0,2,1,6,5,4,3],[0,3,0,1,0,0,0],[0,3,0,1,0,6,5],[0,3,0,1,5,4,0],[0,3,0,1,6,0,4],[0,3,4,1,2,0,0],[0,3,4,1,2,6,5],[0,3,5,1,0,2,0],[0,3,5,1,6,2,4],[0,3,6,1,0,0,2],[0,3,6,1,5,4,2],[0,4,0,0,1,0,0],[0,4,0,0,1,6,5],[0,4,0,5,1,3,0],[0,4,0,6,1,0,3],[0,4,3,2,1,0,0],[0,4,3,2,1,6,5],[0,4,5,0,1,2,0],[0,4,5,6,1,2,3],[0,4,6,0,1,0,2],[0,4,6,5,1,3,2],[0,5,0,0,0,1,0],[0,5,0,0,6,1,4],[0,5,0,4,3,1,0],[0,5,0,6,0,1,3],[0,5,3,2,0,1,0],[0,5,3,2,6,1,4],[0,5,4,0,2,1,0],[0,5,4,6,2,1,3],[0,5,6,0,0,1,2],[0,5,6,4,3,1,2],[0,6,0,0,0,0,1],[0,6,0,0,5,4,1],[0,6,0,4,3,0,1],[0,6,0,5,0,3,1],[0,6,3,2,0,0,1],[0,6,3,2,5,4,1],[0,6,4,0,2,0,1],[0,6,4,5,2,3,1],[0,6,5,0,0,2,1],[0,6,5,4,3,2,1],[1,0,0,0,0,0,0],[1,0,0,0,0,6,5],[1,0,0,0,5,4,0],[1,0,0,0,6,0,4],[1,0,0,4,3,0,0],[1,0,0,4,3,6,5],[1,0,0,5,0,3,0],[1,0,0,5,6,3,4],[1,0,0,6,0,0,3],[1,0,0,6,5,4,3],[1,0,3,2,0,0,0],[1,0,3,2,0,6,5],[1,0,3,2,5,4,0],[1,0,3,2,6,0,4],[1,0,4,0,2,0,0],[1,0,4,0,2,6,5],[1,0,4,5,2,3,0],[1,0,4,6,2,0,3],[1,0,5,0,0,2,0],[1,0,5,0,6,2,4],[1,0,5,4,3,2,0],[1,0,5,6,0,2,3],[1,0,6,0,0,0,2],[1,0,6,0,5,4,2],[1,0,6,4,3,0,2],[1,0,6,5,0,3,2],[2,0,0,0,0,0,0],[2,0,0,0,0,6,5],[2,0,0,0,5,4,0],[2,0,0,0,6,0,4],[2,0,0,4,3,0,0],[2,0,0,4,3,6,5],[2,0,0,5,0,3,0],[2,0,0,5,6,3,4],[2,0,0,6,0,0,3],[2,0,0,6,5,4,3],[2,3,0,1,0,0,0],[2,3,0,1,0,6,5],[2,3,0,1,5,4,0],[2,3,0,1,6,0,4],[2,4,0,0,1,0,0],[2,4,0,0,1,6,5],[2,4,0,5,1,3,0],[2,4,0,6,1,0,3],[2,5,0,0,0,1,0],[2,5,0,0,6,1,4],[2,5,0,4,3,1,0],[2,5,0,6,0,1,3],[2,6,0,0,0,0,1],[2,6,0,0,5,4,1],[2,6,0,4,3,0,1],[2,6,0,5,0,3,1],[3,0,0,0,0,0,0],[3,0,0,0,0,6,5],[3,0,0,0,5,4,0],[3,0,0,0,6,0,4],[3,0,4,0,2,0,0],[3,0,4,0,2,6,5],[3,0,5,0,0,2,0],[3,0,5,0,6,2,4],[3,0,6,0,0,0,2],[3,0,6,0,5,4,2],[3,2,1,0,0,0,0],[3,2,1,0,0,6,5],[3,2,1,0,5,4,0],[3,2,1,0,6,0,4],[3,4,0,0,1,0,0],[3,4,0,0,1,6,5],[3,4,5,0,1,2,0],[3,4,6,0,1,0,2],[3,5,0,0,0,1,0],[3,5,0,0,6,1,4],[3,5,4,0,2,1,0],[3,5,6,0,0,1,2],[3,6,0,0,0,0,1],[3,6,0,0,5,4,1],[3,6,4,0,2,0,1],[3,6,5,0,0,2,1],[4,0,0,0,0,0,0],[4,0,0,0,0,6,5],[4,0,0,5,0,3,0],[4,0,0,6,0,0,3],[4,0,3,2,0,0,0],[4,0,3,2,0,6,5],[4,0,5,0,0,2,0],[4,0,5,6,0,2,3],[4,0,6,0,0,0,2],[4,0,6,5,0,3,2],[4,2,1,0,0,0,0],[4,2,1,0,0,6,5],[4,2,1,5,0,3,0],[4,2,1,6,0,0,3],[4,3,0,1,0,0,0],[4,3,0,1,0,6,5],[4,3,5,1,0,2,0],[4,3,6,1,0,0,2],[4,5,0,0,0,1,0],[4,5,0,6,0,1,3],[4,5,3,2,0,1,0],[4,5,6,0,0,1,2],[4,6,0,0,0,0,1],[4,6,0,5,0,3,1],[4,6,3,2,0,0,1],[4,6,5,0,0,2,1],[5,0,0,0,0,0,0],[5,0,0,0,6,0,4],[5,0,0,4,3,0,0],[5,0,0,6,0,0,3],[5,0,3,2,0,0,0],[5,0,3,2,6,0,4],[5,0,4,0,2,0,0],[5,0,4,6,2,0,3],[5,0,6,0,0,0,2],[5,0,6,4,3,0,2],[5,2,1,0,0,0,0],[5,2,1,0,6,0,4],[5,2,1,4,3,0,0],[5,2,1,6,0,0,3],[5,3,0,1,0,0,0],[5,3,0,1,6,0,4],[5,3,4,1,2,0,0],[5,3,6,1,0,0,2],[5,4,0,0,1,0,0],[5,4,0,6,1,0,3],[5,4,3,2,1,0,0],[5,4,6,0,1,0,2],[5,6,0,0,0,0,1],[5,6,0,4,3,0,1],[5,6,3,2,0,0,1],[5,6,4,0,2,0,1],[6,0,0,0,0,0,0],[6,0,0,0,5,4,0],[6,0,0,4,3,0,0],[6,0,0,5,0,3,0],[6,0,3,2,0,0,0],[6,0,3,2,5,4,0],[6,0,4,0,2,0,0],[6,0,4,5,2,3,0],[6,0,5,0,0,2,0],[6,0,5,4,3,2,0],[6,2,1,0,0,0,0],[6,2,1,0,5,4,0],[6,2,1,4,3,0,0],[6,2,1,5,0,3,0],[6,3,0,1,0,0,0],[6,3,0,1,5,4,0],[6,3,4,1,2,0,0],[6,3,5,1,0,2,0],[6,4,0,0,1,0,0],[6,4,0,5,1,3,0],[6,4,3,2,1,0,0],[6,4,5,0,1,2,0],[6,5,0,0,0,1,0],[6,5,0,4,3,1,0],[6,5,3,2,0,1,0],[6,5,4,0,2,1,0]],"check":"explicit oracle 2","expected":[[0,1,2,3,4,5,6],[0,1,2,3,4,6,5],[0,1,2,3,5,4,6],[0,1,2,3,6,5,4],[0,1,2,4,3,5,6],[0,1,2,4,3,6,5],[0,1,2,5,4,3,6],[0,1,2,5,6,3,4],[0,1,2,6,4,5,3],[0,1,2,6,5,4,3],[0,1,3,2,4,5,6],[0,1,3,2,4,6,5],[0,1,3,2,5,4,6],[0,1,3,2,6,5,4],[0,1,4,3,2,5,6],[0,1,4,3,2,6,5],[0,1,4,5,2,3,6],[0,1,4,6,2,5,3],[0,1,5,3,4,2,6],[0,1,5,3,6,2,4],[0,1,5,4,3,2,6],[0,1,5,6,4,2,3],[0,1,6,3,4,5,2],[0,1,6,3,5,4,2],[0,1,6,4,3,5,2],[0,1,6,5,4,3,2],[0,2,1,3,4,5,6],[0,2,1,3,4,6,5],[0,2,1,3,5,4,6],[0,2,1,3,6,5,4],[0,2,1,4,3,5,6],[0,2,1,4,3,6,5],[0,2,1,5,4,3,6],[0,2,1,5,6,3,4],[0,2,1,6,4,5,3],[0,2,1,6,5,4,3],[0,3,2,1,4,5,6],[0,3,2,1,4,6,5],[0,3,2,1,5,4,6],[0,3,2,1,6,5,4],[0,3,4,1,2,5,6],[0,3,4,1,2,6,5],[0,3,5,1,4,2,6],[0,3,5,1,6,2,4],[0,3,6,1,4,5,2],[0,3,6,1,5,4,2],[0,4,2,3,1,5,6],[0,4,2,3,1,6,5],[0,4,2,5,1,3,6],[0,4,2,6,1,5,3],[0,4,3,2,1,5,6],[0,4,3,2,1,6,5],[0,4,5,3,1,2,6],[0,4,5,6,1,2,3],[0,4,6,3,1,5,2],[0,4,6,5,1,3,2],[0,5,2,3,4,1,6],[0,5,2,3,6,1,4],[0,5,2,4,3,1,6],[0,5,2,6,4,1,3],[0,5,3,2,4,1,6],[0,5,3,2,6,1,4],[0,5,4,3,2,1,6],[0,5,4,6,2,1,3],[0,5,6,3,4,1,2],[0,5,6,4,3,1,2],[0,6,2,3,4,5,1],[0,6,2,3,5,4,1],[0,6,2,4,3,5,1],[0,6,2,5,4,3,1],[0,6,3,2,4,5,1],[0,6,3,2,5,4,1],[0,6,4,3,2,5,1],[0,6,4,5,2,3,1],[0,6,5,3,4,2,1],[0,6,5,4,3,2,1],[1,0,2,3,4,5,6],[1,0,2,3,4,6,5],[1,0,2,3,5,4,6],[1,0,2,3,6,5,4],[1,0,2,4,3,5,6],[1,0,2,4,3,6,5],[1,0,2,5,4,3,6],[1,0,2,5,6,3,4],[1,0,2,6,4,5,3],[1,0,2,6,5,4,3],[1,0,3,2,4,5,6],[1,0,3,2,4,6,5],[1,0,3,2,5,4,6],[1,0,3,2,6,5,4],[1,0,4,3,2,5,6],[1,0,4,3,2,6,5],[1,0,4,5,2,3,6],[1,0,4,6,2,5,3],[1,0,5,3,4,2,6],[1,0,5,3,6,2,4],[1,0,5,4,3,2,6],[1,0,5,6,4,2,3],[1,0,6,3,4,5,2],[1,0,6,3,5,4,2],[1,0,6,4,3,5,2],[1,0,6,5,4,3,2],[2,1,0,3,4,5,6],[2,1,0,3,4,6,5],[2,1,0,3,5,4,6],[2,1,0,3,6,5,4],[2,1,0,4,3,5,6],[2,1,0,4,3,6,5],[2,1,0,5,4,3,6],[2,1,0,5,6,3,4],[2,1,0,6,4,5,3],[2,1,0,6,5,4,3],[2,3,0,1,4,5,6],[2,3,0,1,4,6,5],[2,3,0,1,5,4,6],[2,3,0,1,6,5,4],[2,4,0,3,1,5,6],[2,4,0,3,1,6,5],[2,4,0,5,1,3,6],[2,4,0,6,1,5,3],[2,5,0,3,4,1,6],[2,5,0,3,6,1,4],[2,5,0,4,3,1,6],[2,5,0,6,4,1,3],[2,6,0,3,4,5,1],[2,6,0,3,5,4,1],[2,6,0,4,3,5,1],[2,6,0,5,4,3,1],[3,1,2,0,4,5,6],[3,1,2,0,4,6,5],[3,1,2,0,5,4,6],[3,1,2,0,6,5,4],[3,1,4,0,2,5,6],[3,1,4,0,2,6,5],[3,1,5,0,4,2,6],[3,1,5,0,6,2,4],[3,1,6,0,4,5,2],[3,1,6,0,5,4,2],[3,2,1,0,4,5,6],[3,2,1,0,4,6,5],[3,2,1,0,5,4,6],[3,2,1,0,6,5,4],[3,4,2,0,1,5,6],[3,4,2,0,1,6,5],[3,4,5,0,1,2,6],[3,4,6,0,1,5,2],[3,5,2,0,4,1,6],[3,5,2,0,6,1,4],[3,5,4,0,2,1,6],[3,5,6,0,4,1,2],[3,6,2,0,4,5,1],[3,6,2,0,5,4,1],[3,6,4,0,2,5,1],[3,6,5,0,4,2,1],[4,1,2,3,0,5,6],[4,1,2,3,0,6,5],[4,1,2,5,0,3,6],[4,1,2,6,0,5,3],[4,1,3,2,0,5,6],[4,1,3,2,0,6,5],[4,1,5,3,0,2,6],[4,1,5,6,0,2,3],[4,1,6,3,0,5,2],[4,1,6,5,0,3,2],[4,2,1,3,0,5,6],[4,2,1,3,0,6,5],[4,2,1,5,0,3,6],[4,2,1,6,0,5,3],[4,3,2,1,0,5,6],[4,3,2,1,0,6,5],[4,3,5,1,0,2,6],[4,3,6,1,0,5,2],[4,5,2,3,0,1,6],[4,5,2,6,0,1,3],[4,5,3,2,0,1,6],[4,5,6,3,0,1,2],[4,6,2,3,0,5,1],[4,6,2,5,0,3,1],[4,6,3,2,0,5,1],[4,6,5,3,0,2,1],[5,1,2,3,4,0,6],[5,1,2,3,6,0,4],[5,1,2,4,3,0,6],[5,1,2,6,4,0,3],[5,1,3,2,4,0,6],[5,1,3,2,6,0,4],[5,1,4,3,2,0,6],[5,1,4,6,2,0,3],[5,1,6,3,4,0,2],[5,1,6,4,3,0,2],[5,2,1,3,4,0,6],[5,2,1,3,6,0,4],[5,2,1,4,3,0,6],[5,2,1,6,4,0,3],[5,3,2,1,4,0,6],[5,3,2,1,6,0,4],[5,3,4,1,2,0,6],[5,3,6,1,4,0,2],[5,4,2,3,1,0,6],[5,4,2,6,1,0,3],[5,4,3,2,1,0,6],[5,4,6,3,1,0,2],[5,6,2,3,4,0,1],[5,6,2,4,3,0,1],[5,6,3,2,4,0,1],[5,6,4,3,2,0,1],[6,1,2,3,4,5,0],[6,1,2,3,5,4,0],[6,1,2,4,3,5,0],[6,1,2,5,4,3,0],[6,1,3,2,4,5,0],[6,1,3,2,5,4,0],[6,1,4,3,2,5,0],[6,1,4,5,2,3,0],[6,1,5,3,4,2,0],[6,1,5,4,3,2,0],[6,2,1,3,4,5,0],[6,2,1,3,5,4,0],[6,2,1,4,3,5,0],[6,2,1,5,4,3,0],[6,3,2,1,4,5,0],[6,3,2,1,5,4,0],[6,3,4,1,2,5,0],[6,3,5,1,4,2,0],[6,4,2,3,1,5,0],[6,4,2,5,1,3,0],[6,4,3,2,1,5,0],[6,4,5,3,1,2,0],[6,5,2,3,4,1,0],[6,5,2,4,3,1,0],[6,5,3,2,4,1,0],[6,5,4,3,2,1,0]],"passed":false},{"actual":[[0]],"check":"explicit oracle 3","expected":[[0]],"passed":true},{"actual":[[0,0,0],[0,2,1],[1,0,0],[2,0,0]],"check":"explicit oracle 4","expected":[[0,1,2],[0,2,1],[1,0,2],[2,1,0]],"passed":false},{"actual":[[0,0,0,0],[0,0,3,2],[0,2,1,0],[0,3,0,1],[1,0,0,0],[1,0,3,2],[2,0,0,0],[2,3,0,1],[3,0,0,0],[3,2,1,0]],"check":"explicit oracle 5","expected":[[0,1,2,3],[0,1,3,2],[0,2,1,3],[0,3,2,1],[1,0,2,3],[1,0,3,2],[2,1,0,3],[2,3,0,1],[3,1,2,0],[3,2,1,0]],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"explicit oracle 0\", \"actual\": [[0, 0], [1, 0]], \"expected\": [[0, 1], [1, 0]], \"passed\": false}, {\"check\": \"explicit oracle 1\", \"actual\": [[]], \"expected\": [[]], \"passed\": true}, {\"check\": \"explicit oracle 2\", \"actual\": [[0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 5], [0, 0, 0, 0, 5, 4, 0], [0, 0, 0, 0, 6, 0, 4], [0, 0, 0, 4, 3, 0, 0], [0, 0, 0, 4, 3, 6, 5], [0, 0, 0, 5, 0, 3, 0], [0, 0, 0, 5, 6, 3, 4], [0, 0, 0, 6, 0, 0, 3], [0, 0, 0, 6, 5, 4, 3], [0, 0, 3, 2, 0, 0, 0], [0, 0, 3, 2, 0, 6, 5], [0, 0, 3, 2, 5, 4, 0], [0, 0, 3, 2, 6, 0, 4], [0, 0, 4, 0, 2, 0, 0], [0, 0, 4, 0, 2, 6, 5], [0, 0, 4, 5, 2, 3, 0], [0, 0, 4, 6, 2, 0, 3], [0, 0, 5, 0, 0, 2, 0], [0, 0, 5, 0, 6, 2, 4], [0, 0, 5, 4, 3, 2, 0], [0, 0, 5, 6, 0, 2, 3], [0, 0, 6, 0, 0, 0, 2], [0, 0, 6, 0, 5, 4, 2], [0, 0, 6, 4, 3, 0, 2], [0, 0, 6, 5, 0, 3, 2], [0, 2, 1, 0, 0, 0, 0], [0, 2, 1, 0, 0, 6, 5], [0, 2, 1, 0, 5, 4, 0], [0, 2, 1, 0, 6, 0, 4], [0, 2, 1, 4, 3, 0, 0], [0, 2, 1, 4, 3, 6, 5], [0, 2, 1, 5, 0, 3, 0], [0, 2, 1, 5, 6, 3, 4], [0, 2, 1, 6, 0, 0, 3], [0, 2, 1, 6, 5, 4, 3], [0, 3, 0, 1, 0, 0, 0], [0, 3, 0, 1, 0, 6, 5], [0, 3, 0, 1, 5, 4, 0], [0, 3, 0, 1, 6, 0, 4], [0, 3, 4, 1, 2, 0, 0], [0, 3, 4, 1, 2, 6, 5], [0, 3, 5, 1, 0, 2, 0], [0, 3, 5, 1, 6, 2, 4], [0, 3, 6, 1, 0, 0, 2], [0, 3, 6, 1, 5, 4, 2], [0, 4, 0, 0, 1, 0, 0], [0, 4, 0, 0, 1, 6, 5], [0, 4, 0, 5, 1, 3, 0], [0, 4, 0, 6, 1, 0, 3], [0, 4, 3, 2, 1, 0, 0], [0, 4, 3, 2, 1, 6, 5], [0, 4, 5, 0, 1, 2, 0], [0, 4, 5, 6, 1, 2, 3], [0, 4, 6, 0, 1, 0, 2], [0, 4, 6, 5, 1, 3, 2], [0, 5, 0, 0, 0, 1, 0], [0, 5, 0, 0, 6, 1, 4], [0, 5, 0, 4, 3, 1, 0], [0, 5, 0, 6, 0, 1, 3], [0, 5, 3, 2, 0, 1, 0], [0, 5, 3, 2, 6, 1, 4], [0, 5, 4, 0, 2, 1, 0], [0, 5, 4, 6, 2, 1, 3], [0, 5, 6, 0, 0, 1, 2], [0, 5, 6, 4, 3, 1, 2], [0, 6, 0, 0, 0, 0, 1], [0, 6, 0, 0, 5, 4, 1], [0, 6, 0, 4, 3, 0, 1], [0, 6, 0, 5, 0, 3, 1], [0, 6, 3, 2, 0, 0, 1], [0, 6, 3, 2, 5, 4, 1], [0, 6, 4, 0, 2, 0, 1], [0, 6, 4, 5, 2, 3, 1], [0, 6, 5, 0, 0, 2, 1], [0, 6, 5, 4, 3, 2, 1], [1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 6, 5], [1, 0, 0, 0, 5, 4, 0], [1, 0, 0, 0, 6, 0, 4], [1, 0, 0, 4, 3, 0, 0], [1, 0, 0, 4, 3, 6, 5], [1, 0, 0, 5, 0, 3, 0], [1, 0, 0, 5, 6, 3, 4], [1, 0, 0, 6, 0, 0, 3], [1, 0, 0, 6, 5, 4, 3], [1, 0, 3, 2, 0, 0, 0], [1, 0, 3, 2, 0, 6, 5], [1, 0, 3, 2, 5, 4, 0], [1, 0, 3, 2, 6, 0, 4], [1, 0, 4, 0, 2, 0, 0], [1, 0, 4, 0, 2, 6, 5], [1, 0, 4, 5, 2, 3, 0], [1, 0, 4, 6, 2, 0, 3], [1, 0, 5, 0, 0, 2, 0], [1, 0, 5, 0, 6, 2, 4], [1, 0, 5, 4, 3, 2, 0], [1, 0, 5, 6, 0, 2, 3], [1, 0, 6, 0, 0, 0, 2], [1, 0, 6, 0, 5, 4, 2], [1, 0, 6, 4, 3, 0, 2], [1, 0, 6, 5, 0, 3, 2], [2, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 6, 5], [2, 0, 0, 0, 5, 4, 0], [2, 0, 0, 0, 6, 0, 4], [2, 0, 0, 4, 3, 0, 0], [2, 0, 0, 4, 3, 6, 5], [2, 0, 0, 5, 0, 3, 0], [2, 0, 0, 5, 6, 3, 4], [2, 0, 0, 6, 0, 0, 3], [2, 0, 0, 6, 5, 4, 3], [2, 3, 0, 1, 0, 0, 0], [2, 3, 0, 1, 0, 6, 5], [2, 3, 0, 1, 5, 4, 0], [2, 3, 0, 1, 6, 0, 4], [2, 4, 0, 0, 1, 0, 0], [2, 4, 0, 0, 1, 6, 5], [2, 4, 0, 5, 1, 3, 0], [2, 4, 0, 6, 1, 0, 3], [2, 5, 0, 0, 0, 1, 0], [2, 5, 0, 0, 6, 1, 4], [2, 5, 0, 4, 3, 1, 0], [2, 5, 0, 6, 0, 1, 3], [2, 6, 0, 0, 0, 0, 1], [2, 6, 0, 0, 5, 4, 1], [2, 6, 0, 4, 3, 0, 1], [2, 6, 0, 5, 0, 3, 1], [3, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 6, 5], [3, 0, 0, 0, 5, 4, 0], [3, 0, 0, 0, 6, 0, 4], [3, 0, 4, 0, 2, 0, 0], [3, 0, 4, 0, 2, 6, 5], [3, 0, 5, 0, 0, 2, 0], [3, 0, 5, 0, 6, 2, 4], [3, 0, 6, 0, 0, 0, 2], [3, 0, 6, 0, 5, 4, 2], [3, 2, 1, 0, 0, 0, 0], [3, 2, 1, 0, 0, 6, 5], [3, 2, 1, 0, 5, 4, 0], [3, 2, 1, 0, 6, 0, 4], [3, 4, 0, 0, 1, 0, 0], [3, 4, 0, 0, 1, 6, 5], [3, 4, 5, 0, 1, 2, 0], [3, 4, 6, 0, 1, 0, 2], [3, 5, 0, 0, 0, 1, 0], [3, 5, 0, 0, 6, 1, 4], [3, 5, 4, 0, 2, 1, 0], [3, 5, 6, 0, 0, 1, 2], [3, 6, 0, 0, 0, 0, 1], [3, 6, 0, 0, 5, 4, 1], [3, 6, 4, 0, 2, 0, 1], [3, 6, 5, 0, 0, 2, 1], [4, 0, 0, 0, 0, 0, 0], [4, 0, 0, 0, 0, 6, 5], [4, 0, 0, 5, 0, 3, 0], [4, 0, 0, 6, 0, 0, 3], [4, 0, 3, 2, 0, 0, 0], [4, 0, 3, 2, 0, 6, 5], [4, 0, 5, 0, 0, 2, 0], [4, 0, 5, 6, 0, 2, 3], [4, 0, 6, 0, 0, 0, 2], [4, 0, 6, 5, 0, 3, 2], [4, 2, 1, 0, 0, 0, 0], [4, 2, 1, 0, 0, 6, 5], [4, 2, 1, 5, 0, 3, 0], [4, 2, 1, 6, 0, 0, 3], [4, 3, 0, 1, 0, 0, 0], [4, 3, 0, 1, 0, 6, 5], [4, 3, 5, 1, 0, 2, 0], [4, 3, 6, 1, 0, 0, 2], [4, 5, 0, 0, 0, 1, 0], [4, 5, 0, 6, 0, 1, 3], [4, 5, 3, 2, 0, 1, 0], [4, 5, 6, 0, 0, 1, 2], [4, 6, 0, 0, 0, 0, 1], [4, 6, 0, 5, 0, 3, 1], [4, 6, 3, 2, 0, 0, 1], [4, 6, 5, 0, 0, 2, 1], [5, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 6, 0, 4], [5, 0, 0, 4, 3, 0, 0], [5, 0, 0, 6, 0, 0, 3], [5, 0, 3, 2, 0, 0, 0], [5, 0, 3, 2, 6, 0, 4], [5, 0, 4, 0, 2, 0, 0], [5, 0, 4, 6, 2, 0, 3], [5, 0, 6, 0, 0, 0, 2], [5, 0, 6, 4, 3, 0, 2], [5, 2, 1, 0, 0, 0, 0], [5, 2, 1, 0, 6, 0, 4], [5, 2, 1, 4, 3, 0, 0], [5, 2, 1, 6, 0, 0, 3], [5, 3, 0, 1, 0, 0, 0], [5, 3, 0, 1, 6, 0, 4], [5, 3, 4, 1, 2, 0, 0], [5, 3, 6, 1, 0, 0, 2], [5, 4, 0, 0, 1, 0, 0], [5, 4, 0, 6, 1, 0, 3], [5, 4, 3, 2, 1, 0, 0], [5, 4, 6, 0, 1, 0, 2], [5, 6, 0, 0, 0, 0, 1], [5, 6, 0, 4, 3, 0, 1], [5, 6, 3, 2, 0, 0, 1], [5, 6, 4, 0, 2, 0, 1], [6, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 5, 4, 0], [6, 0, 0, 4, 3, 0, 0], [6, 0, 0, 5, 0, 3, 0], [6, 0, 3, 2, 0, 0, 0], [6, 0, 3, 2, 5, 4, 0], [6, 0, 4, 0, 2, 0, 0], [6, 0, 4, 5, 2, 3, 0], [6, 0, 5, 0, 0, 2, 0], [6, 0, 5, 4, 3, 2, 0], [6, 2, 1, 0, 0, 0, 0], [6, 2, 1, 0, 5, 4, 0], [6, 2, 1, 4, 3, 0, 0], [6, 2, 1, 5, 0, 3, 0], [6, 3, 0, 1, 0, 0, 0], [6, 3, 0, 1, 5, 4, 0], [6, 3, 4, 1, 2, 0, 0], [6, 3, 5, 1, 0, 2, 0], [6, 4, 0, 0, 1, 0, 0], [6, 4, 0, 5, 1, 3, 0], [6, 4, 3, 2, 1, 0, 0], [6, 4, 5, 0, 1, 2, 0], [6, 5, 0, 0, 0, 1, 0], [6, 5, 0, 4, 3, 1, 0], [6, 5, 3, 2, 0, 1, 0], [6, 5, 4, 0, 2, 1, 0]], \"expected\": [[0, 1, 2, 3, 4, 5, 6], [0, 1, 2, 3, 4, 6, 5], [0, 1, 2, 3, 5, 4, 6], [0, 1, 2, 3, 6, 5, 4], [0, 1, 2, 4, 3, 5, 6], [0, 1, 2, 4, 3, 6, 5], [0, 1, 2, 5, 4, 3, 6], [0, 1, 2, 5, 6, 3, 4], [0, 1, 2, 6, 4, 5, 3], [0, 1, 2, 6, 5, 4, 3], [0, 1, 3, 2, 4, 5, 6], [0, 1, 3, 2, 4, 6, 5], [0, 1, 3, 2, 5, 4, 6], [0, 1, 3, 2, 6, 5, 4], [0, 1, 4, 3, 2, 5, 6], [0, 1, 4, 3, 2, 6, 5], [0, 1, 4, 5, 2, 3, 6], [0, 1, 4, 6, 2, 5, 3], [0, 1, 5, 3, 4, 2, 6], [0, 1, 5, 3, 6, 2, 4], [0, 1, 5, 4, 3, 2, 6], [0, 1, 5, 6, 4, 2, 3], [0, 1, 6, 3, 4, 5, 2], [0, 1, 6, 3, 5, 4, 2], [0, 1, 6, 4, 3, 5, 2], [0, 1, 6, 5, 4, 3, 2], [0, 2, 1, 3, 4, 5, 6], [0, 2, 1, 3, 4, 6, 5], [0, 2, 1, 3, 5, 4, 6], [0, 2, 1, 3, 6, 5, 4], [0, 2, 1, 4, 3, 5, 6], [0, 2, 1, 4, 3, 6, 5], [0, 2, 1, 5, 4, 3, 6], [0, 2, 1, 5, 6, 3, 4], [0, 2, 1, 6, 4, 5, 3], [0, 2, 1, 6, 5, 4, 3], [0, 3, 2, 1, 4, 5, 6], [0, 3, 2, 1, 4, 6, 5], [0, 3, 2, 1, 5, 4, 6], [0, 3, 2, 1, 6, 5, 4], [0, 3, 4, 1, 2, 5, 6], [0, 3, 4, 1, 2, 6, 5], [0, 3, 5, 1, 4, 2, 6], [0, 3, 5, 1, 6, 2, 4], [0, 3, 6, 1, 4, 5, 2], [0, 3, 6, 1, 5, 4, 2], [0, 4, 2, 3, 1, 5, 6], [0, 4, 2, 3, 1, 6, 5], [0, 4, 2, 5, 1, 3, 6], [0, 4, 2, 6, 1, 5, 3], [0, 4, 3, 2, 1, 5, 6], [0, 4, 3, 2, 1, 6, 5], [0, 4, 5, 3, 1, 2, 6], [0, 4, 5, 6, 1, 2, 3], [0, 4, 6, 3, 1, 5, 2], [0, 4, 6, 5, 1, 3, 2], [0, 5, 2, 3, 4, 1, 6], [0, 5, 2, 3, 6, 1, 4], [0, 5, 2, 4, 3, 1, 6], [0, 5, 2, 6, 4, 1, 3], [0, 5, 3, 2, 4, 1, 6], [0, 5, 3, 2, 6, 1, 4], [0, 5, 4, 3, 2, 1, 6], [0, 5, 4, 6, 2, 1, 3], [0, 5, 6, 3, 4, 1, 2], [0, 5, 6, 4, 3, 1, 2], [0, 6, 2, 3, 4, 5, 1], [0, 6, 2, 3, 5, 4, 1], [0, 6, 2, 4, 3, 5, 1], [0, 6, 2, 5, 4, 3, 1], [0, 6, 3, 2, 4, 5, 1], [0, 6, 3, 2, 5, 4, 1], [0, 6, 4, 3, 2, 5, 1], [0, 6, 4, 5, 2, 3, 1], [0, 6, 5, 3, 4, 2, 1], [0, 6, 5, 4, 3, 2, 1], [1, 0, 2, 3, 4, 5, 6], [1, 0, 2, 3, 4, 6, 5], [1, 0, 2, 3, 5, 4, 6], [1, 0, 2, 3, 6, 5, 4], [1, 0, 2, 4, 3, 5, 6], [1, 0, 2, 4, 3, 6, 5], [1, 0, 2, 5, 4, 3, 6], [1, 0, 2, 5, 6, 3, 4], [1, 0, 2, 6, 4, 5, 3], [1, 0, 2, 6, 5, 4, 3], [1, 0, 3, 2, 4, 5, 6], [1, 0, 3, 2, 4, 6, 5], [1, 0, 3, 2, 5, 4, 6], [1, 0, 3, 2, 6, 5, 4], [1, 0, 4, 3, 2, 5, 6], [1, 0, 4, 3, 2, 6, 5], [1, 0, 4, 5, 2, 3, 6], [1, 0, 4, 6, 2, 5, 3], [1, 0, 5, 3, 4, 2, 6], [1, 0, 5, 3, 6, 2, 4], [1, 0, 5, 4, 3, 2, 6], [1, 0, 5, 6, 4, 2, 3], [1, 0, 6, 3, 4, 5, 2], [1, 0, 6, 3, 5, 4, 2], [1, 0, 6, 4, 3, 5, 2], [1, 0, 6, 5, 4, 3, 2], [2, 1, 0, 3, 4, 5, 6], [2, 1, 0, 3, 4, 6, 5], [2, 1, 0, 3, 5, 4, 6], [2, 1, 0, 3, 6, 5, 4], [2, 1, 0, 4, 3, 5, 6], [2, 1, 0, 4, 3, 6, 5], [2, 1, 0, 5, 4, 3, 6], [2, 1, 0, 5, 6, 3, 4], [2, 1, 0, 6, 4, 5, 3], [2, 1, 0, 6, 5, 4, 3], [2, 3, 0, 1, 4, 5, 6], [2, 3, 0, 1, 4, 6, 5], [2, 3, 0, 1, 5, 4, 6], [2, 3, 0, 1, 6, 5, 4], [2, 4, 0, 3, 1, 5, 6], [2, 4, 0, 3, 1, 6, 5], [2, 4, 0, 5, 1, 3, 6], [2, 4, 0, 6, 1, 5, 3], [2, 5, 0, 3, 4, 1, 6], [2, 5, 0, 3, 6, 1, 4], [2, 5, 0, 4, 3, 1, 6], [2, 5, 0, 6, 4, 1, 3], [2, 6, 0, 3, 4, 5, 1], [2, 6, 0, 3, 5, 4, 1], [2, 6, 0, 4, 3, 5, 1], [2, 6, 0, 5, 4, 3, 1], [3, 1, 2, 0, 4, 5, 6], [3, 1, 2, 0, 4, 6, 5], [3, 1, 2, 0, 5, 4, 6], [3, 1, 2, 0, 6, 5, 4], [3, 1, 4, 0, 2, 5, 6], [3, 1, 4, 0, 2, 6, 5], [3, 1, 5, 0, 4, 2, 6], [3, 1, 5, 0, 6, 2, 4], [3, 1, 6, 0, 4, 5, 2], [3, 1, 6, 0, 5, 4, 2], [3, 2, 1, 0, 4, 5, 6], [3, 2, 1, 0, 4, 6, 5], [3, 2, 1, 0, 5, 4, 6], [3, 2, 1, 0, 6, 5, 4], [3, 4, 2, 0, 1, 5, 6], [3, 4, 2, 0, 1, 6, 5], [3, 4, 5, 0, 1, 2, 6], [3, 4, 6, 0, 1, 5, 2], [3, 5, 2, 0, 4, 1, 6], [3, 5, 2, 0, 6, 1, 4], [3, 5, 4, 0, 2, 1, 6], [3, 5, 6, 0, 4, 1, 2], [3, 6, 2, 0, 4, 5, 1], [3, 6, 2, 0, 5, 4, 1], [3, 6, 4, 0, 2, 5, 1], [3, 6, 5, 0, 4, 2, 1], [4, 1, 2, 3, 0, 5, 6], [4, 1, 2, 3, 0, 6, 5], [4, 1, 2, 5, 0, 3, 6], [4, 1, 2, 6, 0, 5, 3], [4, 1, 3, 2, 0, 5, 6], [4, 1, 3, 2, 0, 6, 5], [4, 1, 5, 3, 0, 2, 6], [4, 1, 5, 6, 0, 2, 3], [4, 1, 6, 3, 0, 5, 2], [4, 1, 6, 5, 0, 3, 2], [4, 2, 1, 3, 0, 5, 6], [4, 2, 1, 3, 0, 6, 5], [4, 2, 1, 5, 0, 3, 6], [4, 2, 1, 6, 0, 5, 3], [4, 3, 2, 1, 0, 5, 6], [4, 3, 2, 1, 0, 6, 5], [4, 3, 5, 1, 0, 2, 6], [4, 3, 6, 1, 0, 5, 2], [4, 5, 2, 3, 0, 1, 6], [4, 5, 2, 6, 0, 1, 3], [4, 5, 3, 2, 0, 1, 6], [4, 5, 6, 3, 0, 1, 2], [4, 6, 2, 3, 0, 5, 1], [4, 6, 2, 5, 0, 3, 1], [4, 6, 3, 2, 0, 5, 1], [4, 6, 5, 3, 0, 2, 1], [5, 1, 2, 3, 4, 0, 6], [5, 1, 2, 3, 6, 0, 4], [5, 1, 2, 4, 3, 0, 6], [5, 1, 2, 6, 4, 0, 3], [5, 1, 3, 2, 4, 0, 6], [5, 1, 3, 2, 6, 0, 4], [5, 1, 4, 3, 2, 0, 6], [5, 1, 4, 6, 2, 0, 3], [5, 1, 6, 3, 4, 0, 2], [5, 1, 6, 4, 3, 0, 2], [5, 2, 1, 3, 4, 0, 6], [5, 2, 1, 3, 6, 0, 4], [5, 2, 1, 4, 3, 0, 6], [5, 2, 1, 6, 4, 0, 3], [5, 3, 2, 1, 4, 0, 6], [5, 3, 2, 1, 6, 0, 4], [5, 3, 4, 1, 2, 0, 6], [5, 3, 6, 1, 4, 0, 2], [5, 4, 2, 3, 1, 0, 6], [5, 4, 2, 6, 1, 0, 3], [5, 4, 3, 2, 1, 0, 6], [5, 4, 6, 3, 1, 0, 2], [5, 6, 2, 3, 4, 0, 1], [5, 6, 2, 4, 3, 0, 1], [5, 6, 3, 2, 4, 0, 1], [5, 6, 4, 3, 2, 0, 1], [6, 1, 2, 3, 4, 5, 0], [6, 1, 2, 3, 5, 4, 0], [6, 1, 2, 4, 3, 5, 0], [6, 1, 2, 5, 4, 3, 0], [6, 1, 3, 2, 4, 5, 0], [6, 1, 3, 2, 5, 4, 0], [6, 1, 4, 3, 2, 5, 0], [6, 1, 4, 5, 2, 3, 0], [6, 1, 5, 3, 4, 2, 0], [6, 1, 5, 4, 3, 2, 0], [6, 2, 1, 3, 4, 5, 0], [6, 2, 1, 3, 5, 4, 0], [6, 2, 1, 4, 3, 5, 0], [6, 2, 1, 5, 4, 3, 0], [6, 3, 2, 1, 4, 5, 0], [6, 3, 2, 1, 5, 4, 0], [6, 3, 4, 1, 2, 5, 0], [6, 3, 5, 1, 4, 2, 0], [6, 4, 2, 3, 1, 5, 0], [6, 4, 2, 5, 1, 3, 0], [6, 4, 3, 2, 1, 5, 0], [6, 4, 5, 3, 1, 2, 0], [6, 5, 2, 3, 4, 1, 0], [6, 5, 2, 4, 3, 1, 0], [6, 5, 3, 2, 4, 1, 0], [6, 5, 4, 3, 2, 1, 0]], \"passed\": false}, {\"check\": \"explicit oracle 3\", \"actual\": [[0]], \"expected\": [[0]], \"passed\": true}, {\"check\": \"explicit oracle 4\", \"actual\": [[0, 0, 0], [0, 2, 1], [1, 0, 0], [2, 0, 0]], \"expected\": [[0, 1, 2], [0, 2, 1], [1, 0, 2], [2, 1, 0]], \"passed\": false}, {\"check\": \"explicit oracle 5\", \"actual\": [[0, 0, 0, 0], [0, 0, 3, 2], [0, 2, 1, 0], [0, 3, 0, 1], [1, 0, 0, 0], [1, 0, 3, 2], [2, 0, 0, 0], [2, 3, 0, 1], [3, 0, 0, 0], [3, 2, 1, 0]], \"expected\": [[0, 1, 2, 3], [0, 1, 3, 2], [0, 2, 1, 3], [0, 3, 2, 1], [1, 0, 2, 3], [1, 0, 3, 2], [2, 1, 0, 3], [2, 3, 0, 1], [3, 1, 2, 0], [3, 2, 1, 0]], \"passed\": false}], \"passed\": false}\n"}},"member_only":{"stages":["fixed"],"fields":["implementations.fixed","verification.fixed","harness","repair"],"note":"The verified repair, its recorded checks, the repair description, and the scoring harness are available to members."}}