{"abstract":"The exact integer partition enumeration result violates the stated contract at partition prefix append.","category":"Numerics","checks":8,"contract":"Input [n,L], n>=0 and L>=1; return partitions of n in descending part order, reverse lexicographic, each part<=L.","evaluation_group":"s3-numerics-integer-partition-enumeration","failed_approach":"The partial repair prefix+[rem] still violates the partition prefix append invariant.","family":"s3-numerics-integer-partition-enumeration-partition-prefix-append","id":"FA-15286","implementations":{"attempt":{"sha256":"f9e0603c6aa805147ff27d4d3e1691435ff9bfec992e4974dd12e102e2ebd79c","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,L=x;out=[]\n    def visit(rem,hi,prefix):\n     if rem==0:\n      out.append(prefix);return\n     for part in range(min(rem,hi),0,-1):\n      if part<=0:continue\n      visit(rem-part,part,prefix+[rem])\n    visit(n,L,[])\n    return out\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[([3, 2], [[2, 1], [1, 1, 1]]), ([2, 1], [[1, 1]]), ([0, 1], [[]]), ([15, 8], [[8, 7], [8, 6, 1], [8, 5, 2], [8, 5, 1, 1], [8, 4, 3], [8, 4, 2, 1], [8, 4, 1, 1, 1], [8, 3, 3, 1], [8, 3, 2, 2], [8, 3, 2, 1, 1], [8, 3, 1, 1, 1, 1], [8, 2, 2, 2, 1], [8, 2, 2, 1, 1, 1], [8, 2, 1, 1, 1, 1, 1], [8, 1, 1, 1, 1, 1, 1, 1], [7, 7, 1], [7, 6, 2], [7, 6, 1, 1], [7, 5, 3], [7, 5, 2, 1], [7, 5, 1, 1, 1], [7, 4, 4], [7, 4, 3, 1], [7, 4, 2, 2], [7, 4, 2, 1, 1], [7, 4, 1, 1, 1, 1], [7, 3, 3, 2], [7, 3, 3, 1, 1], [7, 3, 2, 2, 1], [7, 3, 2, 1, 1, 1], [7, 3, 1, 1, 1, 1, 1], [7, 2, 2, 2, 2], [7, 2, 2, 2, 1, 1], [7, 2, 2, 1, 1, 1, 1], [7, 2, 1, 1, 1, 1, 1, 1], [7, 1, 1, 1, 1, 1, 1, 1, 1], [6, 6, 3], [6, 6, 2, 1], [6, 6, 1, 1, 1], [6, 5, 4], [6, 5, 3, 1], [6, 5, 2, 2], [6, 5, 2, 1, 1], [6, 5, 1, 1, 1, 1], [6, 4, 4, 1], [6, 4, 3, 2], [6, 4, 3, 1, 1], [6, 4, 2, 2, 1], [6, 4, 2, 1, 1, 1], [6, 4, 1, 1, 1, 1, 1], [6, 3, 3, 3], [6, 3, 3, 2, 1], [6, 3, 3, 1, 1, 1], [6, 3, 2, 2, 2], [6, 3, 2, 2, 1, 1], [6, 3, 2, 1, 1, 1, 1], [6, 3, 1, 1, 1, 1, 1, 1], [6, 2, 2, 2, 2, 1], [6, 2, 2, 2, 1, 1, 1], [6, 2, 2, 1, 1, 1, 1, 1], [6, 2, 1, 1, 1, 1, 1, 1, 1], [6, 1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 5, 5], [5, 5, 4, 1], [5, 5, 3, 2], [5, 5, 3, 1, 1], [5, 5, 2, 2, 1], [5, 5, 2, 1, 1, 1], [5, 5, 1, 1, 1, 1, 1], [5, 4, 4, 2], [5, 4, 4, 1, 1], [5, 4, 3, 3], [5, 4, 3, 2, 1], [5, 4, 3, 1, 1, 1], [5, 4, 2, 2, 2], [5, 4, 2, 2, 1, 1], [5, 4, 2, 1, 1, 1, 1], [5, 4, 1, 1, 1, 1, 1, 1], [5, 3, 3, 3, 1], [5, 3, 3, 2, 2], [5, 3, 3, 2, 1, 1], [5, 3, 3, 1, 1, 1, 1], [5, 3, 2, 2, 2, 1], [5, 3, 2, 2, 1, 1, 1], [5, 3, 2, 1, 1, 1, 1, 1], [5, 3, 1, 1, 1, 1, 1, 1, 1], [5, 2, 2, 2, 2, 2], [5, 2, 2, 2, 2, 1, 1], [5, 2, 2, 2, 1, 1, 1, 1], [5, 2, 2, 1, 1, 1, 1, 1, 1], [5, 2, 1, 1, 1, 1, 1, 1, 1, 1], [5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [4, 4, 4, 3], [4, 4, 4, 2, 1], [4, 4, 4, 1, 1, 1], [4, 4, 3, 3, 1], [4, 4, 3, 2, 2], [4, 4, 3, 2, 1, 1], [4, 4, 3, 1, 1, 1, 1], [4, 4, 2, 2, 2, 1], [4, 4, 2, 2, 1, 1, 1], [4, 4, 2, 1, 1, 1, 1, 1], [4, 4, 1, 1, 1, 1, 1, 1, 1], [4, 3, 3, 3, 2], [4, 3, 3, 3, 1, 1], [4, 3, 3, 2, 2, 1], [4, 3, 3, 2, 1, 1, 1], [4, 3, 3, 1, 1, 1, 1, 1], [4, 3, 2, 2, 2, 2], [4, 3, 2, 2, 2, 1, 1], [4, 3, 2, 2, 1, 1, 1, 1], [4, 3, 2, 1, 1, 1, 1, 1, 1], [4, 3, 1, 1, 1, 1, 1, 1, 1, 1], [4, 2, 2, 2, 2, 2, 1], [4, 2, 2, 2, 2, 1, 1, 1], [4, 2, 2, 2, 1, 1, 1, 1, 1], [4, 2, 2, 1, 1, 1, 1, 1, 1, 1], [4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1], [4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 3, 3, 3, 3], [3, 3, 3, 3, 2, 1], [3, 3, 3, 3, 1, 1, 1], [3, 3, 3, 2, 2, 2], [3, 3, 3, 2, 2, 1, 1], [3, 3, 3, 2, 1, 1, 1, 1], [3, 3, 3, 1, 1, 1, 1, 1, 1], [3, 3, 2, 2, 2, 2, 1], [3, 3, 2, 2, 2, 1, 1, 1], [3, 3, 2, 2, 1, 1, 1, 1, 1], [3, 3, 2, 1, 1, 1, 1, 1, 1, 1], [3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 2, 2, 2, 2, 2, 2], [3, 2, 2, 2, 2, 2, 1, 1], [3, 2, 2, 2, 2, 1, 1, 1, 1], [3, 2, 2, 2, 1, 1, 1, 1, 1, 1], [3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1], [3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 2, 2, 1], [2, 2, 2, 2, 2, 2, 1, 1, 1], [2, 2, 2, 2, 2, 1, 1, 1, 1, 1], [2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]]), ([0, 2], [[]]), ([0, 3], [[]]), ([0, 4], [[]]), ([0, 5], [[]])], [([3, 3], [[3], [2, 1], [1, 1, 1]]), ([2, 4], [[2], [1, 1]]), ([0, 1], [[]]), ([15, 8], [[8, 7], [8, 6, 1], [8, 5, 2], [8, 5, 1, 1], [8, 4, 3], [8, 4, 2, 1], [8, 4, 1, 1, 1], [8, 3, 3, 1], [8, 3, 2, 2], [8, 3, 2, 1, 1], [8, 3, 1, 1, 1, 1], [8, 2, 2, 2, 1], [8, 2, 2, 1, 1, 1], [8, 2, 1, 1, 1, 1, 1], [8, 1, 1, 1, 1, 1, 1, 1], [7, 7, 1], [7, 6, 2], [7, 6, 1, 1], [7, 5, 3], [7, 5, 2, 1], [7, 5, 1, 1, 1], [7, 4, 4], [7, 4, 3, 1], [7, 4, 2, 2], [7, 4, 2, 1, 1], [7, 4, 1, 1, 1, 1], [7, 3, 3, 2], [7, 3, 3, 1, 1], [7, 3, 2, 2, 1], [7, 3, 2, 1, 1, 1], [7, 3, 1, 1, 1, 1, 1], [7, 2, 2, 2, 2], [7, 2, 2, 2, 1, 1], [7, 2, 2, 1, 1, 1, 1], [7, 2, 1, 1, 1, 1, 1, 1], [7, 1, 1, 1, 1, 1, 1, 1, 1], [6, 6, 3], [6, 6, 2, 1], [6, 6, 1, 1, 1], [6, 5, 4], [6, 5, 3, 1], [6, 5, 2, 2], [6, 5, 2, 1, 1], [6, 5, 1, 1, 1, 1], [6, 4, 4, 1], [6, 4, 3, 2], [6, 4, 3, 1, 1], [6, 4, 2, 2, 1], [6, 4, 2, 1, 1, 1], [6, 4, 1, 1, 1, 1, 1], [6, 3, 3, 3], [6, 3, 3, 2, 1], [6, 3, 3, 1, 1, 1], [6, 3, 2, 2, 2], [6, 3, 2, 2, 1, 1], [6, 3, 2, 1, 1, 1, 1], [6, 3, 1, 1, 1, 1, 1, 1], [6, 2, 2, 2, 2, 1], [6, 2, 2, 2, 1, 1, 1], [6, 2, 2, 1, 1, 1, 1, 1], [6, 2, 1, 1, 1, 1, 1, 1, 1], [6, 1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 5, 5], [5, 5, 4, 1], [5, 5, 3, 2], [5, 5, 3, 1, 1], [5, 5, 2, 2, 1], [5, 5, 2, 1, 1, 1], [5, 5, 1, 1, 1, 1, 1], [5, 4, 4, 2], [5, 4, 4, 1, 1], [5, 4, 3, 3], [5, 4, 3, 2, 1], [5, 4, 3, 1, 1, 1], [5, 4, 2, 2, 2], [5, 4, 2, 2, 1, 1], [5, 4, 2, 1, 1, 1, 1], [5, 4, 1, 1, 1, 1, 1, 1], [5, 3, 3, 3, 1], [5, 3, 3, 2, 2], [5, 3, 3, 2, 1, 1], [5, 3, 3, 1, 1, 1, 1], [5, 3, 2, 2, 2, 1], [5, 3, 2, 2, 1, 1, 1], [5, 3, 2, 1, 1, 1, 1, 1], [5, 3, 1, 1, 1, 1, 1, 1, 1], [5, 2, 2, 2, 2, 2], [5, 2, 2, 2, 2, 1, 1], [5, 2, 2, 2, 1, 1, 1, 1], [5, 2, 2, 1, 1, 1, 1, 1, 1], [5, 2, 1, 1, 1, 1, 1, 1, 1, 1], [5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [4, 4, 4, 3], [4, 4, 4, 2, 1], [4, 4, 4, 1, 1, 1], [4, 4, 3, 3, 1], [4, 4, 3, 2, 2], [4, 4, 3, 2, 1, 1], [4, 4, 3, 1, 1, 1, 1], [4, 4, 2, 2, 2, 1], [4, 4, 2, 2, 1, 1, 1], [4, 4, 2, 1, 1, 1, 1, 1], [4, 4, 1, 1, 1, 1, 1, 1, 1], [4, 3, 3, 3, 2], [4, 3, 3, 3, 1, 1], [4, 3, 3, 2, 2, 1], [4, 3, 3, 2, 1, 1, 1], [4, 3, 3, 1, 1, 1, 1, 1], [4, 3, 2, 2, 2, 2], [4, 3, 2, 2, 2, 1, 1], [4, 3, 2, 2, 1, 1, 1, 1], [4, 3, 2, 1, 1, 1, 1, 1, 1], [4, 3, 1, 1, 1, 1, 1, 1, 1, 1], [4, 2, 2, 2, 2, 2, 1], [4, 2, 2, 2, 2, 1, 1, 1], [4, 2, 2, 2, 1, 1, 1, 1, 1], [4, 2, 2, 1, 1, 1, 1, 1, 1, 1], [4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1], [4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 3, 3, 3, 3], [3, 3, 3, 3, 2, 1], [3, 3, 3, 3, 1, 1, 1], [3, 3, 3, 2, 2, 2], [3, 3, 3, 2, 2, 1, 1], [3, 3, 3, 2, 1, 1, 1, 1], [3, 3, 3, 1, 1, 1, 1, 1, 1], [3, 3, 2, 2, 2, 2, 1], [3, 3, 2, 2, 2, 1, 1, 1], [3, 3, 2, 2, 1, 1, 1, 1, 1], [3, 3, 2, 1, 1, 1, 1, 1, 1, 1], [3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 2, 2, 2, 2, 2, 2], [3, 2, 2, 2, 2, 2, 1, 1], [3, 2, 2, 2, 2, 1, 1, 1, 1], [3, 2, 2, 2, 1, 1, 1, 1, 1, 1], [3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1], [3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 2, 2, 1], [2, 2, 2, 2, 2, 2, 1, 1, 1], [2, 2, 2, 2, 2, 1, 1, 1, 1, 1], [2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]]), ([2, 2], [[2], [1, 1]]), ([2, 3], [[2], [1, 1]]), ([2, 5], [[2], [1, 1]]), ([2, 6], [[2], [1, 1]])], [([3, 4], [[3], [2, 1], [1, 1, 1]]), ([2, 7], [[2], [1, 1]]), ([0, 1], [[]]), ([15, 8], [[8, 7], [8, 6, 1], [8, 5, 2], [8, 5, 1, 1], [8, 4, 3], [8, 4, 2, 1], [8, 4, 1, 1, 1], [8, 3, 3, 1], [8, 3, 2, 2], [8, 3, 2, 1, 1], [8, 3, 1, 1, 1, 1], [8, 2, 2, 2, 1], [8, 2, 2, 1, 1, 1], [8, 2, 1, 1, 1, 1, 1], [8, 1, 1, 1, 1, 1, 1, 1], [7, 7, 1], [7, 6, 2], [7, 6, 1, 1], [7, 5, 3], [7, 5, 2, 1], [7, 5, 1, 1, 1], [7, 4, 4], [7, 4, 3, 1], [7, 4, 2, 2], [7, 4, 2, 1, 1], [7, 4, 1, 1, 1, 1], [7, 3, 3, 2], [7, 3, 3, 1, 1], [7, 3, 2, 2, 1], [7, 3, 2, 1, 1, 1], [7, 3, 1, 1, 1, 1, 1], [7, 2, 2, 2, 2], [7, 2, 2, 2, 1, 1], [7, 2, 2, 1, 1, 1, 1], [7, 2, 1, 1, 1, 1, 1, 1], [7, 1, 1, 1, 1, 1, 1, 1, 1], [6, 6, 3], [6, 6, 2, 1], [6, 6, 1, 1, 1], [6, 5, 4], [6, 5, 3, 1], [6, 5, 2, 2], [6, 5, 2, 1, 1], [6, 5, 1, 1, 1, 1], [6, 4, 4, 1], [6, 4, 3, 2], [6, 4, 3, 1, 1], [6, 4, 2, 2, 1], [6, 4, 2, 1, 1, 1], [6, 4, 1, 1, 1, 1, 1], [6, 3, 3, 3], [6, 3, 3, 2, 1], [6, 3, 3, 1, 1, 1], [6, 3, 2, 2, 2], [6, 3, 2, 2, 1, 1], [6, 3, 2, 1, 1, 1, 1], [6, 3, 1, 1, 1, 1, 1, 1], [6, 2, 2, 2, 2, 1], [6, 2, 2, 2, 1, 1, 1], [6, 2, 2, 1, 1, 1, 1, 1], [6, 2, 1, 1, 1, 1, 1, 1, 1], [6, 1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 5, 5], [5, 5, 4, 1], [5, 5, 3, 2], [5, 5, 3, 1, 1], [5, 5, 2, 2, 1], [5, 5, 2, 1, 1, 1], [5, 5, 1, 1, 1, 1, 1], [5, 4, 4, 2], [5, 4, 4, 1, 1], [5, 4, 3, 3], [5, 4, 3, 2, 1], [5, 4, 3, 1, 1, 1], [5, 4, 2, 2, 2], [5, 4, 2, 2, 1, 1], [5, 4, 2, 1, 1, 1, 1], [5, 4, 1, 1, 1, 1, 1, 1], [5, 3, 3, 3, 1], [5, 3, 3, 2, 2], [5, 3, 3, 2, 1, 1], [5, 3, 3, 1, 1, 1, 1], [5, 3, 2, 2, 2, 1], [5, 3, 2, 2, 1, 1, 1], [5, 3, 2, 1, 1, 1, 1, 1], [5, 3, 1, 1, 1, 1, 1, 1, 1], [5, 2, 2, 2, 2, 2], [5, 2, 2, 2, 2, 1, 1], [5, 2, 2, 2, 1, 1, 1, 1], [5, 2, 2, 1, 1, 1, 1, 1, 1], [5, 2, 1, 1, 1, 1, 1, 1, 1, 1], [5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [4, 4, 4, 3], [4, 4, 4, 2, 1], [4, 4, 4, 1, 1, 1], [4, 4, 3, 3, 1], [4, 4, 3, 2, 2], [4, 4, 3, 2, 1, 1], [4, 4, 3, 1, 1, 1, 1], [4, 4, 2, 2, 2, 1], [4, 4, 2, 2, 1, 1, 1], [4, 4, 2, 1, 1, 1, 1, 1], [4, 4, 1, 1, 1, 1, 1, 1, 1], [4, 3, 3, 3, 2], [4, 3, 3, 3, 1, 1], [4, 3, 3, 2, 2, 1], [4, 3, 3, 2, 1, 1, 1], [4, 3, 3, 1, 1, 1, 1, 1], [4, 3, 2, 2, 2, 2], [4, 3, 2, 2, 2, 1, 1], [4, 3, 2, 2, 1, 1, 1, 1], [4, 3, 2, 1, 1, 1, 1, 1, 1], [4, 3, 1, 1, 1, 1, 1, 1, 1, 1], [4, 2, 2, 2, 2, 2, 1], [4, 2, 2, 2, 2, 1, 1, 1], [4, 2, 2, 2, 1, 1, 1, 1, 1], [4, 2, 2, 1, 1, 1, 1, 1, 1, 1], [4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1], [4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 3, 3, 3, 3], [3, 3, 3, 3, 2, 1], [3, 3, 3, 3, 1, 1, 1], [3, 3, 3, 2, 2, 2], [3, 3, 3, 2, 2, 1, 1], [3, 3, 3, 2, 1, 1, 1, 1], [3, 3, 3, 1, 1, 1, 1, 1, 1], [3, 3, 2, 2, 2, 2, 1], [3, 3, 2, 2, 2, 1, 1, 1], [3, 3, 2, 2, 1, 1, 1, 1, 1], [3, 3, 2, 1, 1, 1, 1, 1, 1, 1], [3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 2, 2, 2, 2, 2, 2], [3, 2, 2, 2, 2, 2, 1, 1], [3, 2, 2, 2, 2, 1, 1, 1, 1], [3, 2, 2, 2, 1, 1, 1, 1, 1, 1], [3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1], [3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 2, 2, 1], [2, 2, 2, 2, 2, 2, 1, 1, 1], [2, 2, 2, 2, 2, 1, 1, 1, 1, 1], [2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]]), ([4, 3], [[3, 1], [2, 2], [2, 1, 1], [1, 1, 1, 1]]), ([4, 4], [[4], [3, 1], [2, 2], [2, 1, 1], [1, 1, 1, 1]]), ([4, 5], [[4], [3, 1], [2, 2], [2, 1, 1], [1, 1, 1, 1]]), ([4, 6], [[4], [3, 1], [2, 2], [2, 1, 1], [1, 1, 1, 1]])], [([3, 5], [[3], [2, 1], [1, 1, 1]]), ([3, 2], [[2, 1], [1, 1, 1]]), ([0, 1], [[]]), ([15, 8], [[8, 7], [8, 6, 1], [8, 5, 2], [8, 5, 1, 1], [8, 4, 3], [8, 4, 2, 1], [8, 4, 1, 1, 1], [8, 3, 3, 1], [8, 3, 2, 2], [8, 3, 2, 1, 1], [8, 3, 1, 1, 1, 1], [8, 2, 2, 2, 1], [8, 2, 2, 1, 1, 1], [8, 2, 1, 1, 1, 1, 1], [8, 1, 1, 1, 1, 1, 1, 1], [7, 7, 1], [7, 6, 2], [7, 6, 1, 1], [7, 5, 3], [7, 5, 2, 1], [7, 5, 1, 1, 1], [7, 4, 4], [7, 4, 3, 1], [7, 4, 2, 2], [7, 4, 2, 1, 1], [7, 4, 1, 1, 1, 1], [7, 3, 3, 2], [7, 3, 3, 1, 1], [7, 3, 2, 2, 1], [7, 3, 2, 1, 1, 1], [7, 3, 1, 1, 1, 1, 1], [7, 2, 2, 2, 2], [7, 2, 2, 2, 1, 1], [7, 2, 2, 1, 1, 1, 1], [7, 2, 1, 1, 1, 1, 1, 1], [7, 1, 1, 1, 1, 1, 1, 1, 1], [6, 6, 3], [6, 6, 2, 1], [6, 6, 1, 1, 1], [6, 5, 4], [6, 5, 3, 1], [6, 5, 2, 2], [6, 5, 2, 1, 1], [6, 5, 1, 1, 1, 1], [6, 4, 4, 1], [6, 4, 3, 2], [6, 4, 3, 1, 1], [6, 4, 2, 2, 1], [6, 4, 2, 1, 1, 1], [6, 4, 1, 1, 1, 1, 1], [6, 3, 3, 3], [6, 3, 3, 2, 1], [6, 3, 3, 1, 1, 1], [6, 3, 2, 2, 2], [6, 3, 2, 2, 1, 1], [6, 3, 2, 1, 1, 1, 1], [6, 3, 1, 1, 1, 1, 1, 1], [6, 2, 2, 2, 2, 1], [6, 2, 2, 2, 1, 1, 1], [6, 2, 2, 1, 1, 1, 1, 1], [6, 2, 1, 1, 1, 1, 1, 1, 1], [6, 1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 5, 5], [5, 5, 4, 1], [5, 5, 3, 2], [5, 5, 3, 1, 1], [5, 5, 2, 2, 1], [5, 5, 2, 1, 1, 1], [5, 5, 1, 1, 1, 1, 1], [5, 4, 4, 2], [5, 4, 4, 1, 1], [5, 4, 3, 3], [5, 4, 3, 2, 1], [5, 4, 3, 1, 1, 1], [5, 4, 2, 2, 2], [5, 4, 2, 2, 1, 1], [5, 4, 2, 1, 1, 1, 1], [5, 4, 1, 1, 1, 1, 1, 1], [5, 3, 3, 3, 1], [5, 3, 3, 2, 2], [5, 3, 3, 2, 1, 1], [5, 3, 3, 1, 1, 1, 1], [5, 3, 2, 2, 2, 1], [5, 3, 2, 2, 1, 1, 1], [5, 3, 2, 1, 1, 1, 1, 1], [5, 3, 1, 1, 1, 1, 1, 1, 1], [5, 2, 2, 2, 2, 2], [5, 2, 2, 2, 2, 1, 1], [5, 2, 2, 2, 1, 1, 1, 1], [5, 2, 2, 1, 1, 1, 1, 1, 1], [5, 2, 1, 1, 1, 1, 1, 1, 1, 1], [5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [4, 4, 4, 3], [4, 4, 4, 2, 1], [4, 4, 4, 1, 1, 1], [4, 4, 3, 3, 1], [4, 4, 3, 2, 2], [4, 4, 3, 2, 1, 1], [4, 4, 3, 1, 1, 1, 1], [4, 4, 2, 2, 2, 1], [4, 4, 2, 2, 1, 1, 1], [4, 4, 2, 1, 1, 1, 1, 1], [4, 4, 1, 1, 1, 1, 1, 1, 1], [4, 3, 3, 3, 2], [4, 3, 3, 3, 1, 1], [4, 3, 3, 2, 2, 1], [4, 3, 3, 2, 1, 1, 1], [4, 3, 3, 1, 1, 1, 1, 1], [4, 3, 2, 2, 2, 2], [4, 3, 2, 2, 2, 1, 1], [4, 3, 2, 2, 1, 1, 1, 1], [4, 3, 2, 1, 1, 1, 1, 1, 1], [4, 3, 1, 1, 1, 1, 1, 1, 1, 1], [4, 2, 2, 2, 2, 2, 1], [4, 2, 2, 2, 2, 1, 1, 1], [4, 2, 2, 2, 1, 1, 1, 1, 1], [4, 2, 2, 1, 1, 1, 1, 1, 1, 1], [4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1], [4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 3, 3, 3, 3], [3, 3, 3, 3, 2, 1], [3, 3, 3, 3, 1, 1, 1], [3, 3, 3, 2, 2, 2], [3, 3, 3, 2, 2, 1, 1], [3, 3, 3, 2, 1, 1, 1, 1], [3, 3, 3, 1, 1, 1, 1, 1, 1], [3, 3, 2, 2, 2, 2, 1], [3, 3, 2, 2, 2, 1, 1, 1], [3, 3, 2, 2, 1, 1, 1, 1, 1], [3, 3, 2, 1, 1, 1, 1, 1, 1, 1], [3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 2, 2, 2, 2, 2, 2], [3, 2, 2, 2, 2, 2, 1, 1], [3, 2, 2, 2, 2, 1, 1, 1, 1], [3, 2, 2, 2, 1, 1, 1, 1, 1, 1], [3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1], [3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 2, 2, 1], [2, 2, 2, 2, 2, 2, 1, 1, 1], [2, 2, 2, 2, 2, 1, 1, 1, 1, 1], [2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]]), ([6, 4], [[4, 2], [4, 1, 1], [3, 3], [3, 2, 1], [3, 1, 1, 1], [2, 2, 2], [2, 2, 1, 1], [2, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1]]), ([6, 5], [[5, 1], [4, 2], [4, 1, 1], [3, 3], [3, 2, 1], [3, 1, 1, 1], [2, 2, 2], [2, 2, 1, 1], [2, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1]]), ([6, 6], [[6], [5, 1], [4, 2], [4, 1, 1], [3, 3], [3, 2, 1], [3, 1, 1, 1], [2, 2, 2], [2, 2, 1, 1], [2, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1]]), ([6, 7], [[6], [5, 1], [4, 2], [4, 1, 1], [3, 3], [3, 2, 1], [3, 1, 1, 1], [2, 2, 2], [2, 2, 1, 1], [2, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1]])], [([3, 6], [[3], [2, 1], [1, 1, 1]]), ([3, 5], [[3], [2, 1], [1, 1, 1]]), ([0, 1], [[]]), ([15, 8], [[8, 7], [8, 6, 1], [8, 5, 2], [8, 5, 1, 1], [8, 4, 3], [8, 4, 2, 1], [8, 4, 1, 1, 1], [8, 3, 3, 1], [8, 3, 2, 2], [8, 3, 2, 1, 1], [8, 3, 1, 1, 1, 1], [8, 2, 2, 2, 1], [8, 2, 2, 1, 1, 1], [8, 2, 1, 1, 1, 1, 1], [8, 1, 1, 1, 1, 1, 1, 1], [7, 7, 1], [7, 6, 2], [7, 6, 1, 1], [7, 5, 3], [7, 5, 2, 1], [7, 5, 1, 1, 1], [7, 4, 4], [7, 4, 3, 1], [7, 4, 2, 2], [7, 4, 2, 1, 1], [7, 4, 1, 1, 1, 1], [7, 3, 3, 2], [7, 3, 3, 1, 1], [7, 3, 2, 2, 1], [7, 3, 2, 1, 1, 1], [7, 3, 1, 1, 1, 1, 1], [7, 2, 2, 2, 2], [7, 2, 2, 2, 1, 1], [7, 2, 2, 1, 1, 1, 1], [7, 2, 1, 1, 1, 1, 1, 1], [7, 1, 1, 1, 1, 1, 1, 1, 1], [6, 6, 3], [6, 6, 2, 1], [6, 6, 1, 1, 1], [6, 5, 4], [6, 5, 3, 1], [6, 5, 2, 2], [6, 5, 2, 1, 1], [6, 5, 1, 1, 1, 1], [6, 4, 4, 1], [6, 4, 3, 2], [6, 4, 3, 1, 1], [6, 4, 2, 2, 1], [6, 4, 2, 1, 1, 1], [6, 4, 1, 1, 1, 1, 1], [6, 3, 3, 3], [6, 3, 3, 2, 1], [6, 3, 3, 1, 1, 1], [6, 3, 2, 2, 2], [6, 3, 2, 2, 1, 1], [6, 3, 2, 1, 1, 1, 1], [6, 3, 1, 1, 1, 1, 1, 1], [6, 2, 2, 2, 2, 1], [6, 2, 2, 2, 1, 1, 1], [6, 2, 2, 1, 1, 1, 1, 1], [6, 2, 1, 1, 1, 1, 1, 1, 1], [6, 1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 5, 5], [5, 5, 4, 1], [5, 5, 3, 2], [5, 5, 3, 1, 1], [5, 5, 2, 2, 1], [5, 5, 2, 1, 1, 1], [5, 5, 1, 1, 1, 1, 1], [5, 4, 4, 2], [5, 4, 4, 1, 1], [5, 4, 3, 3], [5, 4, 3, 2, 1], [5, 4, 3, 1, 1, 1], [5, 4, 2, 2, 2], [5, 4, 2, 2, 1, 1], [5, 4, 2, 1, 1, 1, 1], [5, 4, 1, 1, 1, 1, 1, 1], [5, 3, 3, 3, 1], [5, 3, 3, 2, 2], [5, 3, 3, 2, 1, 1], [5, 3, 3, 1, 1, 1, 1], [5, 3, 2, 2, 2, 1], [5, 3, 2, 2, 1, 1, 1], [5, 3, 2, 1, 1, 1, 1, 1], [5, 3, 1, 1, 1, 1, 1, 1, 1], [5, 2, 2, 2, 2, 2], [5, 2, 2, 2, 2, 1, 1], [5, 2, 2, 2, 1, 1, 1, 1], [5, 2, 2, 1, 1, 1, 1, 1, 1], [5, 2, 1, 1, 1, 1, 1, 1, 1, 1], [5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [4, 4, 4, 3], [4, 4, 4, 2, 1], [4, 4, 4, 1, 1, 1], [4, 4, 3, 3, 1], [4, 4, 3, 2, 2], [4, 4, 3, 2, 1, 1], [4, 4, 3, 1, 1, 1, 1], [4, 4, 2, 2, 2, 1], [4, 4, 2, 2, 1, 1, 1], [4, 4, 2, 1, 1, 1, 1, 1], [4, 4, 1, 1, 1, 1, 1, 1, 1], [4, 3, 3, 3, 2], [4, 3, 3, 3, 1, 1], [4, 3, 3, 2, 2, 1], [4, 3, 3, 2, 1, 1, 1], [4, 3, 3, 1, 1, 1, 1, 1], [4, 3, 2, 2, 2, 2], [4, 3, 2, 2, 2, 1, 1], [4, 3, 2, 2, 1, 1, 1, 1], [4, 3, 2, 1, 1, 1, 1, 1, 1], [4, 3, 1, 1, 1, 1, 1, 1, 1, 1], [4, 2, 2, 2, 2, 2, 1], [4, 2, 2, 2, 2, 1, 1, 1], [4, 2, 2, 2, 1, 1, 1, 1, 1], [4, 2, 2, 1, 1, 1, 1, 1, 1, 1], [4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1], [4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 3, 3, 3, 3], [3, 3, 3, 3, 2, 1], [3, 3, 3, 3, 1, 1, 1], [3, 3, 3, 2, 2, 2], [3, 3, 3, 2, 2, 1, 1], [3, 3, 3, 2, 1, 1, 1, 1], [3, 3, 3, 1, 1, 1, 1, 1, 1], [3, 3, 2, 2, 2, 2, 1], [3, 3, 2, 2, 2, 1, 1, 1], [3, 3, 2, 2, 1, 1, 1, 1, 1], [3, 3, 2, 1, 1, 1, 1, 1, 1, 1], [3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 2, 2, 2, 2, 2, 2], [3, 2, 2, 2, 2, 2, 1, 1], [3, 2, 2, 2, 2, 1, 1, 1, 1], [3, 2, 2, 2, 1, 1, 1, 1, 1, 1], [3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1], [3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 2, 2, 1], [2, 2, 2, 2, 2, 2, 1, 1, 1], [2, 2, 2, 2, 2, 1, 1, 1, 1, 1], [2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]]), ([8, 5], [[5, 3], [5, 2, 1], [5, 1, 1, 1], [4, 4], [4, 3, 1], [4, 2, 2], [4, 2, 1, 1], [4, 1, 1, 1, 1], [3, 3, 2], [3, 3, 1, 1], [3, 2, 2, 1], [3, 2, 1, 1, 1], [3, 1, 1, 1, 1, 1], [2, 2, 2, 2], [2, 2, 2, 1, 1], [2, 2, 1, 1, 1, 1], [2, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1]]), ([8, 6], [[6, 2], [6, 1, 1], [5, 3], [5, 2, 1], [5, 1, 1, 1], [4, 4], [4, 3, 1], [4, 2, 2], [4, 2, 1, 1], [4, 1, 1, 1, 1], [3, 3, 2], [3, 3, 1, 1], [3, 2, 2, 1], [3, 2, 1, 1, 1], [3, 1, 1, 1, 1, 1], [2, 2, 2, 2], [2, 2, 2, 1, 1], [2, 2, 1, 1, 1, 1], [2, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1]]), ([8, 7], [[7, 1], [6, 2], [6, 1, 1], [5, 3], [5, 2, 1], [5, 1, 1, 1], [4, 4], [4, 3, 1], [4, 2, 2], [4, 2, 1, 1], [4, 1, 1, 1, 1], [3, 3, 2], [3, 3, 1, 1], [3, 2, 2, 1], [3, 2, 1, 1, 1], [3, 1, 1, 1, 1, 1], [2, 2, 2, 2], [2, 2, 2, 1, 1], [2, 2, 1, 1, 1, 1], [2, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1]]), ([8, 8], [[8], [7, 1], [6, 2], [6, 1, 1], [5, 3], [5, 2, 1], [5, 1, 1, 1], [4, 4], [4, 3, 1], [4, 2, 2], [4, 2, 1, 1], [4, 1, 1, 1, 1], [3, 3, 2], [3, 3, 1, 1], [3, 2, 2, 1], [3, 2, 1, 1, 1], [3, 1, 1, 1, 1, 1], [2, 2, 2, 2], [2, 2, 2, 1, 1], [2, 2, 1, 1, 1, 1], [2, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1]])]]\nfor i, (args, expected) in enumerate(fixtures[N-1]):\n    check(\"explicit oracle %d\" % i, solve(args), expected)\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"},"broken":{"sha256":"892149c8213480eb2408ab6cf3d71d03eff4392ab6b6fb604271b31b00ba70b8","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,L=x;out=[]\n    def visit(rem,hi,prefix):\n     if rem==0:\n      out.append(prefix);return\n     for part in range(min(rem,hi),0,-1):\n      if part<=0:continue\n      visit(rem-part,part,[part]+prefix)\n    visit(n,L,[])\n    return out\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[([3, 2], [[2, 1], [1, 1, 1]]), ([2, 1], [[1, 1]]), ([0, 1], [[]]), ([15, 8], [[8, 7], [8, 6, 1], [8, 5, 2], [8, 5, 1, 1], [8, 4, 3], [8, 4, 2, 1], [8, 4, 1, 1, 1], [8, 3, 3, 1], [8, 3, 2, 2], [8, 3, 2, 1, 1], [8, 3, 1, 1, 1, 1], [8, 2, 2, 2, 1], [8, 2, 2, 1, 1, 1], [8, 2, 1, 1, 1, 1, 1], [8, 1, 1, 1, 1, 1, 1, 1], [7, 7, 1], [7, 6, 2], [7, 6, 1, 1], [7, 5, 3], [7, 5, 2, 1], [7, 5, 1, 1, 1], [7, 4, 4], [7, 4, 3, 1], [7, 4, 2, 2], [7, 4, 2, 1, 1], [7, 4, 1, 1, 1, 1], [7, 3, 3, 2], [7, 3, 3, 1, 1], [7, 3, 2, 2, 1], [7, 3, 2, 1, 1, 1], [7, 3, 1, 1, 1, 1, 1], [7, 2, 2, 2, 2], [7, 2, 2, 2, 1, 1], [7, 2, 2, 1, 1, 1, 1], [7, 2, 1, 1, 1, 1, 1, 1], [7, 1, 1, 1, 1, 1, 1, 1, 1], [6, 6, 3], [6, 6, 2, 1], [6, 6, 1, 1, 1], [6, 5, 4], [6, 5, 3, 1], [6, 5, 2, 2], [6, 5, 2, 1, 1], [6, 5, 1, 1, 1, 1], [6, 4, 4, 1], [6, 4, 3, 2], [6, 4, 3, 1, 1], [6, 4, 2, 2, 1], [6, 4, 2, 1, 1, 1], [6, 4, 1, 1, 1, 1, 1], [6, 3, 3, 3], [6, 3, 3, 2, 1], [6, 3, 3, 1, 1, 1], [6, 3, 2, 2, 2], [6, 3, 2, 2, 1, 1], [6, 3, 2, 1, 1, 1, 1], [6, 3, 1, 1, 1, 1, 1, 1], [6, 2, 2, 2, 2, 1], [6, 2, 2, 2, 1, 1, 1], [6, 2, 2, 1, 1, 1, 1, 1], [6, 2, 1, 1, 1, 1, 1, 1, 1], [6, 1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 5, 5], [5, 5, 4, 1], [5, 5, 3, 2], [5, 5, 3, 1, 1], [5, 5, 2, 2, 1], [5, 5, 2, 1, 1, 1], [5, 5, 1, 1, 1, 1, 1], [5, 4, 4, 2], [5, 4, 4, 1, 1], [5, 4, 3, 3], [5, 4, 3, 2, 1], [5, 4, 3, 1, 1, 1], [5, 4, 2, 2, 2], [5, 4, 2, 2, 1, 1], [5, 4, 2, 1, 1, 1, 1], [5, 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1, 1, 1, 1, 1, 1, 1], [4, 2, 2, 2, 2, 2, 1], [4, 2, 2, 2, 2, 1, 1, 1], [4, 2, 2, 2, 1, 1, 1, 1, 1], [4, 2, 2, 1, 1, 1, 1, 1, 1, 1], [4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1], [4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 3, 3, 3, 3], [3, 3, 3, 3, 2, 1], [3, 3, 3, 3, 1, 1, 1], [3, 3, 3, 2, 2, 2], [3, 3, 3, 2, 2, 1, 1], [3, 3, 3, 2, 1, 1, 1, 1], [3, 3, 3, 1, 1, 1, 1, 1, 1], [3, 3, 2, 2, 2, 2, 1], [3, 3, 2, 2, 2, 1, 1, 1], [3, 3, 2, 2, 1, 1, 1, 1, 1], [3, 3, 2, 1, 1, 1, 1, 1, 1, 1], [3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 2, 2, 2, 2, 2, 2], [3, 2, 2, 2, 2, 2, 1, 1], [3, 2, 2, 2, 2, 1, 1, 1, 1], [3, 2, 2, 2, 1, 1, 1, 1, 1, 1], [3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1], [3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 2, 2, 1], [2, 2, 2, 2, 2, 2, 1, 1, 1], [2, 2, 2, 2, 2, 1, 1, 1, 1, 1], [2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]]), ([6, 4], [[4, 2], [4, 1, 1], [3, 3], [3, 2, 1], [3, 1, 1, 1], [2, 2, 2], [2, 2, 1, 1], [2, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1]]), ([6, 5], [[5, 1], [4, 2], [4, 1, 1], [3, 3], [3, 2, 1], [3, 1, 1, 1], [2, 2, 2], [2, 2, 1, 1], [2, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1]]), ([6, 6], [[6], [5, 1], [4, 2], [4, 1, 1], [3, 3], [3, 2, 1], [3, 1, 1, 1], [2, 2, 2], [2, 2, 1, 1], [2, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1]]), ([6, 7], [[6], [5, 1], [4, 2], [4, 1, 1], [3, 3], [3, 2, 1], [3, 1, 1, 1], [2, 2, 2], [2, 2, 1, 1], [2, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1]])], [([3, 6], [[3], [2, 1], [1, 1, 1]]), ([3, 5], [[3], [2, 1], [1, 1, 1]]), ([0, 1], [[]]), ([15, 8], [[8, 7], [8, 6, 1], [8, 5, 2], [8, 5, 1, 1], [8, 4, 3], [8, 4, 2, 1], [8, 4, 1, 1, 1], [8, 3, 3, 1], [8, 3, 2, 2], [8, 3, 2, 1, 1], [8, 3, 1, 1, 1, 1], [8, 2, 2, 2, 1], [8, 2, 2, 1, 1, 1], [8, 2, 1, 1, 1, 1, 1], [8, 1, 1, 1, 1, 1, 1, 1], [7, 7, 1], [7, 6, 2], [7, 6, 1, 1], [7, 5, 3], [7, 5, 2, 1], [7, 5, 1, 1, 1], [7, 4, 4], [7, 4, 3, 1], [7, 4, 2, 2], [7, 4, 2, 1, 1], [7, 4, 1, 1, 1, 1], [7, 3, 3, 2], [7, 3, 3, 1, 1], [7, 3, 2, 2, 1], [7, 3, 2, 1, 1, 1], [7, 3, 1, 1, 1, 1, 1], [7, 2, 2, 2, 2], [7, 2, 2, 2, 1, 1], [7, 2, 2, 1, 1, 1, 1], [7, 2, 1, 1, 1, 1, 1, 1], [7, 1, 1, 1, 1, 1, 1, 1, 1], [6, 6, 3], [6, 6, 2, 1], [6, 6, 1, 1, 1], [6, 5, 4], [6, 5, 3, 1], [6, 5, 2, 2], [6, 5, 2, 1, 1], [6, 5, 1, 1, 1, 1], [6, 4, 4, 1], [6, 4, 3, 2], [6, 4, 3, 1, 1], [6, 4, 2, 2, 1], [6, 4, 2, 1, 1, 1], [6, 4, 1, 1, 1, 1, 1], [6, 3, 3, 3], [6, 3, 3, 2, 1], [6, 3, 3, 1, 1, 1], [6, 3, 2, 2, 2], [6, 3, 2, 2, 1, 1], [6, 3, 2, 1, 1, 1, 1], [6, 3, 1, 1, 1, 1, 1, 1], [6, 2, 2, 2, 2, 1], [6, 2, 2, 2, 1, 1, 1], [6, 2, 2, 1, 1, 1, 1, 1], [6, 2, 1, 1, 1, 1, 1, 1, 1], [6, 1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 5, 5], [5, 5, 4, 1], [5, 5, 3, 2], [5, 5, 3, 1, 1], [5, 5, 2, 2, 1], [5, 5, 2, 1, 1, 1], [5, 5, 1, 1, 1, 1, 1], [5, 4, 4, 2], [5, 4, 4, 1, 1], [5, 4, 3, 3], [5, 4, 3, 2, 1], [5, 4, 3, 1, 1, 1], [5, 4, 2, 2, 2], [5, 4, 2, 2, 1, 1], [5, 4, 2, 1, 1, 1, 1], [5, 4, 1, 1, 1, 1, 1, 1], [5, 3, 3, 3, 1], [5, 3, 3, 2, 2], [5, 3, 3, 2, 1, 1], [5, 3, 3, 1, 1, 1, 1], [5, 3, 2, 2, 2, 1], [5, 3, 2, 2, 1, 1, 1], [5, 3, 2, 1, 1, 1, 1, 1], [5, 3, 1, 1, 1, 1, 1, 1, 1], [5, 2, 2, 2, 2, 2], [5, 2, 2, 2, 2, 1, 1], [5, 2, 2, 2, 1, 1, 1, 1], [5, 2, 2, 1, 1, 1, 1, 1, 1], [5, 2, 1, 1, 1, 1, 1, 1, 1, 1], [5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [4, 4, 4, 3], [4, 4, 4, 2, 1], [4, 4, 4, 1, 1, 1], [4, 4, 3, 3, 1], [4, 4, 3, 2, 2], [4, 4, 3, 2, 1, 1], [4, 4, 3, 1, 1, 1, 1], [4, 4, 2, 2, 2, 1], [4, 4, 2, 2, 1, 1, 1], [4, 4, 2, 1, 1, 1, 1, 1], [4, 4, 1, 1, 1, 1, 1, 1, 1], [4, 3, 3, 3, 2], [4, 3, 3, 3, 1, 1], [4, 3, 3, 2, 2, 1], [4, 3, 3, 2, 1, 1, 1], [4, 3, 3, 1, 1, 1, 1, 1], [4, 3, 2, 2, 2, 2], [4, 3, 2, 2, 2, 1, 1], [4, 3, 2, 2, 1, 1, 1, 1], [4, 3, 2, 1, 1, 1, 1, 1, 1], [4, 3, 1, 1, 1, 1, 1, 1, 1, 1], [4, 2, 2, 2, 2, 2, 1], [4, 2, 2, 2, 2, 1, 1, 1], [4, 2, 2, 2, 1, 1, 1, 1, 1], [4, 2, 2, 1, 1, 1, 1, 1, 1, 1], [4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1], [4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 3, 3, 3, 3], [3, 3, 3, 3, 2, 1], [3, 3, 3, 3, 1, 1, 1], [3, 3, 3, 2, 2, 2], [3, 3, 3, 2, 2, 1, 1], [3, 3, 3, 2, 1, 1, 1, 1], [3, 3, 3, 1, 1, 1, 1, 1, 1], [3, 3, 2, 2, 2, 2, 1], [3, 3, 2, 2, 2, 1, 1, 1], [3, 3, 2, 2, 1, 1, 1, 1, 1], [3, 3, 2, 1, 1, 1, 1, 1, 1, 1], [3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 2, 2, 2, 2, 2, 2], [3, 2, 2, 2, 2, 2, 1, 1], [3, 2, 2, 2, 2, 1, 1, 1, 1], [3, 2, 2, 2, 1, 1, 1, 1, 1, 1], [3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1], [3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 2, 2, 1], [2, 2, 2, 2, 2, 2, 1, 1, 1], [2, 2, 2, 2, 2, 1, 1, 1, 1, 1], [2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]]), ([8, 5], [[5, 3], [5, 2, 1], [5, 1, 1, 1], [4, 4], [4, 3, 1], [4, 2, 2], [4, 2, 1, 1], [4, 1, 1, 1, 1], [3, 3, 2], [3, 3, 1, 1], [3, 2, 2, 1], [3, 2, 1, 1, 1], [3, 1, 1, 1, 1, 1], [2, 2, 2, 2], [2, 2, 2, 1, 1], [2, 2, 1, 1, 1, 1], [2, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1]]), ([8, 6], [[6, 2], [6, 1, 1], [5, 3], [5, 2, 1], [5, 1, 1, 1], [4, 4], [4, 3, 1], [4, 2, 2], [4, 2, 1, 1], [4, 1, 1, 1, 1], [3, 3, 2], [3, 3, 1, 1], [3, 2, 2, 1], [3, 2, 1, 1, 1], [3, 1, 1, 1, 1, 1], [2, 2, 2, 2], [2, 2, 2, 1, 1], [2, 2, 1, 1, 1, 1], [2, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1]]), ([8, 7], [[7, 1], [6, 2], [6, 1, 1], [5, 3], [5, 2, 1], [5, 1, 1, 1], [4, 4], [4, 3, 1], [4, 2, 2], [4, 2, 1, 1], [4, 1, 1, 1, 1], [3, 3, 2], [3, 3, 1, 1], [3, 2, 2, 1], [3, 2, 1, 1, 1], [3, 1, 1, 1, 1, 1], [2, 2, 2, 2], [2, 2, 2, 1, 1], [2, 2, 1, 1, 1, 1], [2, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1]]), ([8, 8], [[8], [7, 1], [6, 2], [6, 1, 1], [5, 3], [5, 2, 1], [5, 1, 1, 1], [4, 4], [4, 3, 1], [4, 2, 2], [4, 2, 1, 1], [4, 1, 1, 1, 1], [3, 3, 2], [3, 3, 1, 1], [3, 2, 2, 1], [3, 2, 1, 1, 1], [3, 1, 1, 1, 1, 1], [2, 2, 2, 2], [2, 2, 2, 1, 1], [2, 2, 1, 1, 1, 1], [2, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1]])]]\nfor i, (args, expected) in enumerate(fixtures[N-1]):\n    check(\"explicit oracle %d\" % i, solve(args), expected)\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"},"fixed":{"sha256":"77016d2afebdbf639ec749a9a36e05faa9030420e96857cd11f628b9e9ce5cc2","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,L=x;out=[]\n    def visit(rem,hi,prefix):\n     if rem==0:\n      out.append(prefix);return\n     for part in range(min(rem,hi),0,-1):\n      if part<=0:continue\n      visit(rem-part,part,prefix+[part])\n    visit(n,L,[])\n    return out\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[([3, 2], [[2, 1], [1, 1, 1]]), ([2, 1], [[1, 1]]), ([0, 1], [[]]), ([15, 8], [[8, 7], [8, 6, 1], [8, 5, 2], [8, 5, 1, 1], [8, 4, 3], [8, 4, 2, 1], [8, 4, 1, 1, 1], [8, 3, 3, 1], [8, 3, 2, 2], [8, 3, 2, 1, 1], [8, 3, 1, 1, 1, 1], [8, 2, 2, 2, 1], [8, 2, 2, 1, 1, 1], [8, 2, 1, 1, 1, 1, 1], [8, 1, 1, 1, 1, 1, 1, 1], [7, 7, 1], [7, 6, 2], [7, 6, 1, 1], [7, 5, 3], [7, 5, 2, 1], [7, 5, 1, 1, 1], [7, 4, 4], [7, 4, 3, 1], [7, 4, 2, 2], [7, 4, 2, 1, 1], [7, 4, 1, 1, 1, 1], [7, 3, 3, 2], [7, 3, 3, 1, 1], [7, 3, 2, 2, 1], [7, 3, 2, 1, 1, 1], [7, 3, 1, 1, 1, 1, 1], [7, 2, 2, 2, 2], [7, 2, 2, 2, 1, 1], [7, 2, 2, 1, 1, 1, 1], [7, 2, 1, 1, 1, 1, 1, 1], [7, 1, 1, 1, 1, 1, 1, 1, 1], [6, 6, 3], [6, 6, 2, 1], [6, 6, 1, 1, 1], [6, 5, 4], [6, 5, 3, 1], [6, 5, 2, 2], [6, 5, 2, 1, 1], [6, 5, 1, 1, 1, 1], [6, 4, 4, 1], [6, 4, 3, 2], [6, 4, 3, 1, 1], [6, 4, 2, 2, 1], [6, 4, 2, 1, 1, 1], [6, 4, 1, 1, 1, 1, 1], [6, 3, 3, 3], [6, 3, 3, 2, 1], [6, 3, 3, 1, 1, 1], [6, 3, 2, 2, 2], [6, 3, 2, 2, 1, 1], [6, 3, 2, 1, 1, 1, 1], [6, 3, 1, 1, 1, 1, 1, 1], [6, 2, 2, 2, 2, 1], [6, 2, 2, 2, 1, 1, 1], [6, 2, 2, 1, 1, 1, 1, 1], [6, 2, 1, 1, 1, 1, 1, 1, 1], [6, 1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 5, 5], [5, 5, 4, 1], [5, 5, 3, 2], [5, 5, 3, 1, 1], [5, 5, 2, 2, 1], [5, 5, 2, 1, 1, 1], [5, 5, 1, 1, 1, 1, 1], [5, 4, 4, 2], [5, 4, 4, 1, 1], [5, 4, 3, 3], [5, 4, 3, 2, 1], [5, 4, 3, 1, 1, 1], [5, 4, 2, 2, 2], [5, 4, 2, 2, 1, 1], [5, 4, 2, 1, 1, 1, 1], [5, 4, 1, 1, 1, 1, 1, 1], [5, 3, 3, 3, 1], [5, 3, 3, 2, 2], [5, 3, 3, 2, 1, 1], [5, 3, 3, 1, 1, 1, 1], [5, 3, 2, 2, 2, 1], [5, 3, 2, 2, 1, 1, 1], [5, 3, 2, 1, 1, 1, 1, 1], [5, 3, 1, 1, 1, 1, 1, 1, 1], [5, 2, 2, 2, 2, 2], [5, 2, 2, 2, 2, 1, 1], [5, 2, 2, 2, 1, 1, 1, 1], [5, 2, 2, 1, 1, 1, 1, 1, 1], [5, 2, 1, 1, 1, 1, 1, 1, 1, 1], [5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [4, 4, 4, 3], [4, 4, 4, 2, 1], [4, 4, 4, 1, 1, 1], [4, 4, 3, 3, 1], [4, 4, 3, 2, 2], [4, 4, 3, 2, 1, 1], [4, 4, 3, 1, 1, 1, 1], [4, 4, 2, 2, 2, 1], [4, 4, 2, 2, 1, 1, 1], [4, 4, 2, 1, 1, 1, 1, 1], [4, 4, 1, 1, 1, 1, 1, 1, 1], [4, 3, 3, 3, 2], [4, 3, 3, 3, 1, 1], [4, 3, 3, 2, 2, 1], [4, 3, 3, 2, 1, 1, 1], [4, 3, 3, 1, 1, 1, 1, 1], [4, 3, 2, 2, 2, 2], [4, 3, 2, 2, 2, 1, 1], [4, 3, 2, 2, 1, 1, 1, 1], [4, 3, 2, 1, 1, 1, 1, 1, 1], [4, 3, 1, 1, 1, 1, 1, 1, 1, 1], [4, 2, 2, 2, 2, 2, 1], [4, 2, 2, 2, 2, 1, 1, 1], [4, 2, 2, 2, 1, 1, 1, 1, 1], [4, 2, 2, 1, 1, 1, 1, 1, 1, 1], [4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1], [4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 3, 3, 3, 3], [3, 3, 3, 3, 2, 1], [3, 3, 3, 3, 1, 1, 1], [3, 3, 3, 2, 2, 2], [3, 3, 3, 2, 2, 1, 1], [3, 3, 3, 2, 1, 1, 1, 1], [3, 3, 3, 1, 1, 1, 1, 1, 1], [3, 3, 2, 2, 2, 2, 1], [3, 3, 2, 2, 2, 1, 1, 1], [3, 3, 2, 2, 1, 1, 1, 1, 1], [3, 3, 2, 1, 1, 1, 1, 1, 1, 1], [3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 2, 2, 2, 2, 2, 2], [3, 2, 2, 2, 2, 2, 1, 1], [3, 2, 2, 2, 2, 1, 1, 1, 1], [3, 2, 2, 2, 1, 1, 1, 1, 1, 1], [3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1], [3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 2, 2, 1], [2, 2, 2, 2, 2, 2, 1, 1, 1], [2, 2, 2, 2, 2, 1, 1, 1, 1, 1], [2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]]), ([0, 2], [[]]), ([0, 3], [[]]), ([0, 4], [[]]), ([0, 5], [[]])], [([3, 3], [[3], [2, 1], [1, 1, 1]]), ([2, 4], [[2], [1, 1]]), ([0, 1], [[]]), ([15, 8], [[8, 7], [8, 6, 1], 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1, 1, 1, 1, 1, 1, 1], [4, 2, 2, 2, 2, 2, 1], [4, 2, 2, 2, 2, 1, 1, 1], [4, 2, 2, 2, 1, 1, 1, 1, 1], [4, 2, 2, 1, 1, 1, 1, 1, 1, 1], [4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1], [4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 3, 3, 3, 3], [3, 3, 3, 3, 2, 1], [3, 3, 3, 3, 1, 1, 1], [3, 3, 3, 2, 2, 2], [3, 3, 3, 2, 2, 1, 1], [3, 3, 3, 2, 1, 1, 1, 1], [3, 3, 3, 1, 1, 1, 1, 1, 1], [3, 3, 2, 2, 2, 2, 1], [3, 3, 2, 2, 2, 1, 1, 1], [3, 3, 2, 2, 1, 1, 1, 1, 1], [3, 3, 2, 1, 1, 1, 1, 1, 1, 1], [3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 2, 2, 2, 2, 2, 2], [3, 2, 2, 2, 2, 2, 1, 1], [3, 2, 2, 2, 2, 1, 1, 1, 1], [3, 2, 2, 2, 1, 1, 1, 1, 1, 1], [3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1], [3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 2, 2, 1], [2, 2, 2, 2, 2, 2, 1, 1, 1], [2, 2, 2, 2, 2, 1, 1, 1, 1, 1], [2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]]), ([6, 4], [[4, 2], [4, 1, 1], [3, 3], [3, 2, 1], [3, 1, 1, 1], [2, 2, 2], [2, 2, 1, 1], [2, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1]]), ([6, 5], [[5, 1], [4, 2], [4, 1, 1], [3, 3], [3, 2, 1], [3, 1, 1, 1], [2, 2, 2], [2, 2, 1, 1], [2, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1]]), ([6, 6], [[6], [5, 1], [4, 2], [4, 1, 1], [3, 3], [3, 2, 1], [3, 1, 1, 1], [2, 2, 2], [2, 2, 1, 1], [2, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1]]), ([6, 7], [[6], [5, 1], [4, 2], [4, 1, 1], [3, 3], [3, 2, 1], [3, 1, 1, 1], [2, 2, 2], [2, 2, 1, 1], [2, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1]])], [([3, 6], [[3], [2, 1], [1, 1, 1]]), ([3, 5], [[3], [2, 1], [1, 1, 1]]), ([0, 1], [[]]), ([15, 8], [[8, 7], [8, 6, 1], [8, 5, 2], [8, 5, 1, 1], [8, 4, 3], [8, 4, 2, 1], [8, 4, 1, 1, 1], [8, 3, 3, 1], [8, 3, 2, 2], [8, 3, 2, 1, 1], [8, 3, 1, 1, 1, 1], [8, 2, 2, 2, 1], [8, 2, 2, 1, 1, 1], [8, 2, 1, 1, 1, 1, 1], [8, 1, 1, 1, 1, 1, 1, 1], [7, 7, 1], [7, 6, 2], [7, 6, 1, 1], [7, 5, 3], [7, 5, 2, 1], [7, 5, 1, 1, 1], [7, 4, 4], [7, 4, 3, 1], [7, 4, 2, 2], [7, 4, 2, 1, 1], [7, 4, 1, 1, 1, 1], [7, 3, 3, 2], [7, 3, 3, 1, 1], [7, 3, 2, 2, 1], [7, 3, 2, 1, 1, 1], [7, 3, 1, 1, 1, 1, 1], [7, 2, 2, 2, 2], [7, 2, 2, 2, 1, 1], [7, 2, 2, 1, 1, 1, 1], [7, 2, 1, 1, 1, 1, 1, 1], [7, 1, 1, 1, 1, 1, 1, 1, 1], [6, 6, 3], [6, 6, 2, 1], [6, 6, 1, 1, 1], [6, 5, 4], [6, 5, 3, 1], [6, 5, 2, 2], [6, 5, 2, 1, 1], [6, 5, 1, 1, 1, 1], [6, 4, 4, 1], [6, 4, 3, 2], [6, 4, 3, 1, 1], [6, 4, 2, 2, 1], [6, 4, 2, 1, 1, 1], [6, 4, 1, 1, 1, 1, 1], [6, 3, 3, 3], [6, 3, 3, 2, 1], [6, 3, 3, 1, 1, 1], [6, 3, 2, 2, 2], [6, 3, 2, 2, 1, 1], [6, 3, 2, 1, 1, 1, 1], [6, 3, 1, 1, 1, 1, 1, 1], [6, 2, 2, 2, 2, 1], [6, 2, 2, 2, 1, 1, 1], [6, 2, 2, 1, 1, 1, 1, 1], [6, 2, 1, 1, 1, 1, 1, 1, 1], [6, 1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 5, 5], [5, 5, 4, 1], [5, 5, 3, 2], [5, 5, 3, 1, 1], [5, 5, 2, 2, 1], [5, 5, 2, 1, 1, 1], [5, 5, 1, 1, 1, 1, 1], [5, 4, 4, 2], [5, 4, 4, 1, 1], [5, 4, 3, 3], [5, 4, 3, 2, 1], [5, 4, 3, 1, 1, 1], [5, 4, 2, 2, 2], [5, 4, 2, 2, 1, 1], [5, 4, 2, 1, 1, 1, 1], [5, 4, 1, 1, 1, 1, 1, 1], [5, 3, 3, 3, 1], [5, 3, 3, 2, 2], [5, 3, 3, 2, 1, 1], [5, 3, 3, 1, 1, 1, 1], [5, 3, 2, 2, 2, 1], [5, 3, 2, 2, 1, 1, 1], [5, 3, 2, 1, 1, 1, 1, 1], [5, 3, 1, 1, 1, 1, 1, 1, 1], [5, 2, 2, 2, 2, 2], [5, 2, 2, 2, 2, 1, 1], [5, 2, 2, 2, 1, 1, 1, 1], [5, 2, 2, 1, 1, 1, 1, 1, 1], [5, 2, 1, 1, 1, 1, 1, 1, 1, 1], [5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [4, 4, 4, 3], [4, 4, 4, 2, 1], [4, 4, 4, 1, 1, 1], [4, 4, 3, 3, 1], [4, 4, 3, 2, 2], [4, 4, 3, 2, 1, 1], [4, 4, 3, 1, 1, 1, 1], [4, 4, 2, 2, 2, 1], [4, 4, 2, 2, 1, 1, 1], [4, 4, 2, 1, 1, 1, 1, 1], [4, 4, 1, 1, 1, 1, 1, 1, 1], [4, 3, 3, 3, 2], [4, 3, 3, 3, 1, 1], [4, 3, 3, 2, 2, 1], [4, 3, 3, 2, 1, 1, 1], [4, 3, 3, 1, 1, 1, 1, 1], [4, 3, 2, 2, 2, 2], [4, 3, 2, 2, 2, 1, 1], [4, 3, 2, 2, 1, 1, 1, 1], [4, 3, 2, 1, 1, 1, 1, 1, 1], [4, 3, 1, 1, 1, 1, 1, 1, 1, 1], [4, 2, 2, 2, 2, 2, 1], [4, 2, 2, 2, 2, 1, 1, 1], [4, 2, 2, 2, 1, 1, 1, 1, 1], [4, 2, 2, 1, 1, 1, 1, 1, 1, 1], [4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1], [4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 3, 3, 3, 3], [3, 3, 3, 3, 2, 1], [3, 3, 3, 3, 1, 1, 1], [3, 3, 3, 2, 2, 2], [3, 3, 3, 2, 2, 1, 1], [3, 3, 3, 2, 1, 1, 1, 1], [3, 3, 3, 1, 1, 1, 1, 1, 1], [3, 3, 2, 2, 2, 2, 1], [3, 3, 2, 2, 2, 1, 1, 1], [3, 3, 2, 2, 1, 1, 1, 1, 1], [3, 3, 2, 1, 1, 1, 1, 1, 1, 1], [3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 2, 2, 2, 2, 2, 2], [3, 2, 2, 2, 2, 2, 1, 1], [3, 2, 2, 2, 2, 1, 1, 1, 1], [3, 2, 2, 2, 1, 1, 1, 1, 1, 1], [3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1], [3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 2, 2, 1], [2, 2, 2, 2, 2, 2, 1, 1, 1], [2, 2, 2, 2, 2, 1, 1, 1, 1, 1], [2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]]), ([8, 5], [[5, 3], [5, 2, 1], [5, 1, 1, 1], [4, 4], [4, 3, 1], [4, 2, 2], [4, 2, 1, 1], [4, 1, 1, 1, 1], [3, 3, 2], [3, 3, 1, 1], [3, 2, 2, 1], [3, 2, 1, 1, 1], [3, 1, 1, 1, 1, 1], [2, 2, 2, 2], [2, 2, 2, 1, 1], [2, 2, 1, 1, 1, 1], [2, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1]]), ([8, 6], [[6, 2], [6, 1, 1], [5, 3], [5, 2, 1], [5, 1, 1, 1], [4, 4], [4, 3, 1], [4, 2, 2], [4, 2, 1, 1], [4, 1, 1, 1, 1], [3, 3, 2], [3, 3, 1, 1], [3, 2, 2, 1], [3, 2, 1, 1, 1], [3, 1, 1, 1, 1, 1], [2, 2, 2, 2], [2, 2, 2, 1, 1], [2, 2, 1, 1, 1, 1], [2, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1]]), ([8, 7], [[7, 1], [6, 2], [6, 1, 1], [5, 3], [5, 2, 1], [5, 1, 1, 1], [4, 4], [4, 3, 1], [4, 2, 2], [4, 2, 1, 1], [4, 1, 1, 1, 1], [3, 3, 2], [3, 3, 1, 1], [3, 2, 2, 1], [3, 2, 1, 1, 1], [3, 1, 1, 1, 1, 1], [2, 2, 2, 2], [2, 2, 2, 1, 1], [2, 2, 1, 1, 1, 1], [2, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1]]), ([8, 8], [[8], [7, 1], [6, 2], [6, 1, 1], [5, 3], [5, 2, 1], [5, 1, 1, 1], [4, 4], [4, 3, 1], [4, 2, 2], [4, 2, 1, 1], [4, 1, 1, 1, 1], [3, 3, 2], [3, 3, 1, 1], [3, 2, 2, 1], [3, 2, 1, 1, 1], [3, 1, 1, 1, 1, 1], [2, 2, 2, 2], [2, 2, 2, 1, 1], [2, 2, 1, 1, 1, 1], [2, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1]])]]\nfor i, (args, expected) in enumerate(fixtures[N-1]):\n    check(\"explicit oracle %d\" % i, solve(args), expected)\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"}},"limitations":"A deterministic bounded teaching model. Inputs are restricted to the explicit contract; this is not a production algebra library. This reproducer isolates one failure mechanism. Results cover the supplied fixtures. Variants within a family share a test contract and should remain grouped when constructing evaluation splits. Related mechanisms with a shared evaluation_group must also remain together; these controlled models are not independent production incidents.","method":"Deterministic executable model with adversarial boundary fixtures.","provenance":{"created_by":"Failure Map","dependencies":"Python standard library","family":"s3-numerics-integer-partition-enumeration-partition-prefix-append","generated_at":"2026-09-29T14:39:25.258795+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 prefix+[part] at the partition prefix append step.","root_cause":"The partition prefix append step uses [part]+prefix instead of prefix+[part].","sha256":"5790930f6c5e305e0fd8f25fa71108f76fd3d28f2dad58363a26a1d53fd25808","title":"Integer partition enumeration: partition prefix append · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":49.565,"exit_code":1,"observations":[{"actual":[[3,1],[3,2,1]],"check":"explicit oracle 0","expected":[[2,1],[1,1,1]],"passed":false},{"actual":[[2,1]],"check":"explicit oracle 1","expected":[[1,1]],"passed":false},{"actual":[[]],"check":"explicit oracle 2","expected":[[]],"passed":true},{"actual":[[15,7],[15,7,1],[15,7,2],[15,7,2,1],[15,7,3],[15,7,3,1],[15,7,3,2,1],[15,7,4,1],[15,7,4,2],[15,7,4,2,1],[15,7,4,3,2,1],[15,7,5,3,1],[15,7,5,3,2,1],[15,7,5,4,3,2,1],[15,7,6,5,4,3,2,1],[15,8,1],[15,8,2],[15,8,2,1],[15,8,3],[15,8,3,1],[15,8,3,2,1],[15,8,4],[15,8,4,1],[15,8,4,2],[15,8,4,2,1],[15,8,4,3,2,1],[15,8,5,2],[15,8,5,2,1],[15,8,5,3,1],[15,8,5,3,2,1],[15,8,5,4,3,2,1],[15,8,6,4,2],[15,8,6,4,2,1],[15,8,6,4,3,2,1],[15,8,6,5,4,3,2,1],[15,8,7,6,5,4,3,2,1],[15,9,3],[15,9,3,1],[15,9,3,2,1],[15,9,4],[15,9,4,1],[15,9,4,2],[15,9,4,2,1],[15,9,4,3,2,1],[15,9,5,1],[15,9,5,2],[15,9,5,2,1],[15,9,5,3,1],[15,9,5,3,2,1],[15,9,5,4,3,2,1],[15,9,6,3],[15,9,6,3,1],[15,9,6,3,2,1],[15,9,6,4,2],[15,9,6,4,2,1],[15,9,6,4,3,2,1],[15,9,6,5,4,3,2,1],[15,9,7,5,3,1],[15,9,7,5,3,2,1],[15,9,7,5,4,3,2,1],[15,9,7,6,5,4,3,2,1],[15,9,8,7,6,5,4,3,2,1],[15,10,5],[15,10,5,1],[15,10,5,2],[15,10,5,2,1],[15,10,5,3,1],[15,10,5,3,2,1],[15,10,5,4,3,2,1],[15,10,6,2],[15,10,6,2,1],[15,10,6,3],[15,10,6,3,1],[15,10,6,3,2,1],[15,10,6,4,2],[15,10,6,4,2,1],[15,10,6,4,3,2,1],[15,10,6,5,4,3,2,1],[15,10,7,4,1],[15,10,7,4,2],[15,10,7,4,2,1],[15,10,7,4,3,2,1],[15,10,7,5,3,1],[15,10,7,5,3,2,1],[15,10,7,5,4,3,2,1],[15,10,7,6,5,4,3,2,1],[15,10,8,6,4,2],[15,10,8,6,4,2,1],[15,10,8,6,4,3,2,1],[15,10,8,6,5,4,3,2,1],[15,10,8,7,6,5,4,3,2,1],[15,10,9,8,7,6,5,4,3,2,1],[15,11,7,3],[15,11,7,3,1],[15,11,7,3,2,1],[15,11,7,4,1],[15,11,7,4,2],[15,11,7,4,2,1],[15,11,7,4,3,2,1],[15,11,7,5,3,1],[15,11,7,5,3,2,1],[15,11,7,5,4,3,2,1],[15,11,7,6,5,4,3,2,1],[15,11,8,5,2],[15,11,8,5,2,1],[15,11,8,5,3,1],[15,11,8,5,3,2,1],[15,11,8,5,4,3,2,1],[15,11,8,6,4,2],[15,11,8,6,4,2,1],[15,11,8,6,4,3,2,1],[15,11,8,6,5,4,3,2,1],[15,11,8,7,6,5,4,3,2,1],[15,11,9,7,5,3,1],[15,11,9,7,5,3,2,1],[15,11,9,7,5,4,3,2,1],[15,11,9,7,6,5,4,3,2,1],[15,11,9,8,7,6,5,4,3,2,1],[15,11,10,9,8,7,6,5,4,3,2,1],[15,12,9,6,3],[15,12,9,6,3,1],[15,12,9,6,3,2,1],[15,12,9,6,4,2],[15,12,9,6,4,2,1],[15,12,9,6,4,3,2,1],[15,12,9,6,5,4,3,2,1],[15,12,9,7,5,3,1],[15,12,9,7,5,3,2,1],[15,12,9,7,5,4,3,2,1],[15,12,9,7,6,5,4,3,2,1],[15,12,9,8,7,6,5,4,3,2,1],[15,12,10,8,6,4,2],[15,12,10,8,6,4,2,1],[15,12,10,8,6,4,3,2,1],[15,12,10,8,6,5,4,3,2,1],[15,12,10,8,7,6,5,4,3,2,1],[15,12,10,9,8,7,6,5,4,3,2,1],[15,12,11,10,9,8,7,6,5,4,3,2,1],[15,13,11,9,7,5,3,1],[15,13,11,9,7,5,3,2,1],[15,13,11,9,7,5,4,3,2,1],[15,13,11,9,7,6,5,4,3,2,1],[15,13,11,9,8,7,6,5,4,3,2,1],[15,13,11,10,9,8,7,6,5,4,3,2,1],[15,13,12,11,10,9,8,7,6,5,4,3,2,1],[15,14,13,12,11,10,9,8,7,6,5,4,3,2,1]],"check":"explicit oracle 3","expected":[[8,7],[8,6,1],[8,5,2],[8,5,1,1],[8,4,3],[8,4,2,1],[8,4,1,1,1],[8,3,3,1],[8,3,2,2],[8,3,2,1,1],[8,3,1,1,1,1],[8,2,2,2,1],[8,2,2,1,1,1],[8,2,1,1,1,1,1],[8,1,1,1,1,1,1,1],[7,7,1],[7,6,2],[7,6,1,1],[7,5,3],[7,5,2,1],[7,5,1,1,1],[7,4,4],[7,4,3,1],[7,4,2,2],[7,4,2,1,1],[7,4,1,1,1,1],[7,3,3,2],[7,3,3,1,1],[7,3,2,2,1],[7,3,2,1,1,1],[7,3,1,1,1,1,1],[7,2,2,2,2],[7,2,2,2,1,1],[7,2,2,1,1,1,1],[7,2,1,1,1,1,1,1],[7,1,1,1,1,1,1,1,1],[6,6,3],[6,6,2,1],[6,6,1,1,1],[6,5,4],[6,5,3,1],[6,5,2,2],[6,5,2,1,1],[6,5,1,1,1,1],[6,4,4,1],[6,4,3,2],[6,4,3,1,1],[6,4,2,2,1],[6,4,2,1,1,1],[6,4,1,1,1,1,1],[6,3,3,3],[6,3,3,2,1],[6,3,3,1,1,1],[6,3,2,2,2],[6,3,2,2,1,1],[6,3,2,1,1,1,1],[6,3,1,1,1,1,1,1],[6,2,2,2,2,1],[6,2,2,2,1,1,1],[6,2,2,1,1,1,1,1],[6,2,1,1,1,1,1,1,1],[6,1,1,1,1,1,1,1,1,1],[5,5,5],[5,5,4,1],[5,5,3,2],[5,5,3,1,1],[5,5,2,2,1],[5,5,2,1,1,1],[5,5,1,1,1,1,1],[5,4,4,2],[5,4,4,1,1],[5,4,3,3],[5,4,3,2,1],[5,4,3,1,1,1],[5,4,2,2,2],[5,4,2,2,1,1],[5,4,2,1,1,1,1],[5,4,1,1,1,1,1,1],[5,3,3,3,1],[5,3,3,2,2],[5,3,3,2,1,1],[5,3,3,1,1,1,1],[5,3,2,2,2,1],[5,3,2,2,1,1,1],[5,3,2,1,1,1,1,1],[5,3,1,1,1,1,1,1,1],[5,2,2,2,2,2],[5,2,2,2,2,1,1],[5,2,2,2,1,1,1,1],[5,2,2,1,1,1,1,1,1],[5,2,1,1,1,1,1,1,1,1],[5,1,1,1,1,1,1,1,1,1,1],[4,4,4,3],[4,4,4,2,1],[4,4,4,1,1,1],[4,4,3,3,1],[4,4,3,2,2],[4,4,3,2,1,1],[4,4,3,1,1,1,1],[4,4,2,2,2,1],[4,4,2,2,1,1,1],[4,4,2,1,1,1,1,1],[4,4,1,1,1,1,1,1,1],[4,3,3,3,2],[4,3,3,3,1,1],[4,3,3,2,2,1],[4,3,3,2,1,1,1],[4,3,3,1,1,1,1,1],[4,3,2,2,2,2],[4,3,2,2,2,1,1],[4,3,2,2,1,1,1,1],[4,3,2,1,1,1,1,1,1],[4,3,1,1,1,1,1,1,1,1],[4,2,2,2,2,2,1],[4,2,2,2,2,1,1,1],[4,2,2,2,1,1,1,1,1],[4,2,2,1,1,1,1,1,1,1],[4,2,1,1,1,1,1,1,1,1,1],[4,1,1,1,1,1,1,1,1,1,1,1],[3,3,3,3,3],[3,3,3,3,2,1],[3,3,3,3,1,1,1],[3,3,3,2,2,2],[3,3,3,2,2,1,1],[3,3,3,2,1,1,1,1],[3,3,3,1,1,1,1,1,1],[3,3,2,2,2,2,1],[3,3,2,2,2,1,1,1],[3,3,2,2,1,1,1,1,1],[3,3,2,1,1,1,1,1,1,1],[3,3,1,1,1,1,1,1,1,1,1],[3,2,2,2,2,2,2],[3,2,2,2,2,2,1,1],[3,2,2,2,2,1,1,1,1],[3,2,2,2,1,1,1,1,1,1],[3,2,2,1,1,1,1,1,1,1,1],[3,2,1,1,1,1,1,1,1,1,1,1],[3,1,1,1,1,1,1,1,1,1,1,1,1],[2,2,2,2,2,2,2,1],[2,2,2,2,2,2,1,1,1],[2,2,2,2,2,1,1,1,1,1],[2,2,2,2,1,1,1,1,1,1,1],[2,2,2,1,1,1,1,1,1,1,1,1],[2,2,1,1,1,1,1,1,1,1,1,1,1],[2,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]],"passed":false},{"actual":[[]],"check":"explicit oracle 4","expected":[[]],"passed":true},{"actual":[[]],"check":"explicit oracle 5","expected":[[]],"passed":true},{"actual":[[]],"check":"explicit oracle 6","expected":[[]],"passed":true},{"actual":[[]],"check":"explicit oracle 7","expected":[[]],"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"explicit oracle 0\", \"actual\": [[3, 1], [3, 2, 1]], \"expected\": [[2, 1], [1, 1, 1]], \"passed\": false}, {\"check\": \"explicit oracle 1\", \"actual\": [[2, 1]], \"expected\": [[1, 1]], \"passed\": false}, {\"check\": \"explicit oracle 2\", \"actual\": [[]], \"expected\": [[]], \"passed\": true}, {\"check\": \"explicit oracle 3\", \"actual\": [[15, 7], [15, 7, 1], [15, 7, 2], [15, 7, 2, 1], [15, 7, 3], [15, 7, 3, 1], [15, 7, 3, 2, 1], [15, 7, 4, 1], [15, 7, 4, 2], [15, 7, 4, 2, 1], [15, 7, 4, 3, 2, 1], [15, 7, 5, 3, 1], [15, 7, 5, 3, 2, 1], [15, 7, 5, 4, 3, 2, 1], [15, 7, 6, 5, 4, 3, 2, 1], [15, 8, 1], [15, 8, 2], [15, 8, 2, 1], [15, 8, 3], [15, 8, 3, 1], [15, 8, 3, 2, 1], [15, 8, 4], [15, 8, 4, 1], [15, 8, 4, 2], [15, 8, 4, 2, 1], [15, 8, 4, 3, 2, 1], [15, 8, 5, 2], [15, 8, 5, 2, 1], [15, 8, 5, 3, 1], [15, 8, 5, 3, 2, 1], [15, 8, 5, 4, 3, 2, 1], [15, 8, 6, 4, 2], [15, 8, 6, 4, 2, 1], [15, 8, 6, 4, 3, 2, 1], [15, 8, 6, 5, 4, 3, 2, 1], [15, 8, 7, 6, 5, 4, 3, 2, 1], [15, 9, 3], [15, 9, 3, 1], [15, 9, 3, 2, 1], [15, 9, 4], [15, 9, 4, 1], [15, 9, 4, 2], [15, 9, 4, 2, 1], [15, 9, 4, 3, 2, 1], [15, 9, 5, 1], [15, 9, 5, 2], [15, 9, 5, 2, 1], [15, 9, 5, 3, 1], [15, 9, 5, 3, 2, 1], [15, 9, 5, 4, 3, 2, 1], [15, 9, 6, 3], [15, 9, 6, 3, 1], [15, 9, 6, 3, 2, 1], [15, 9, 6, 4, 2], [15, 9, 6, 4, 2, 1], [15, 9, 6, 4, 3, 2, 1], [15, 9, 6, 5, 4, 3, 2, 1], [15, 9, 7, 5, 3, 1], [15, 9, 7, 5, 3, 2, 1], [15, 9, 7, 5, 4, 3, 2, 1], [15, 9, 7, 6, 5, 4, 3, 2, 1], [15, 9, 8, 7, 6, 5, 4, 3, 2, 1], [15, 10, 5], [15, 10, 5, 1], [15, 10, 5, 2], [15, 10, 5, 2, 1], [15, 10, 5, 3, 1], [15, 10, 5, 3, 2, 1], [15, 10, 5, 4, 3, 2, 1], [15, 10, 6, 2], [15, 10, 6, 2, 1], [15, 10, 6, 3], [15, 10, 6, 3, 1], [15, 10, 6, 3, 2, 1], [15, 10, 6, 4, 2], [15, 10, 6, 4, 2, 1], [15, 10, 6, 4, 3, 2, 1], [15, 10, 6, 5, 4, 3, 2, 1], [15, 10, 7, 4, 1], [15, 10, 7, 4, 2], [15, 10, 7, 4, 2, 1], [15, 10, 7, 4, 3, 2, 1], [15, 10, 7, 5, 3, 1], [15, 10, 7, 5, 3, 2, 1], [15, 10, 7, 5, 4, 3, 2, 1], [15, 10, 7, 6, 5, 4, 3, 2, 1], [15, 10, 8, 6, 4, 2], [15, 10, 8, 6, 4, 2, 1], [15, 10, 8, 6, 4, 3, 2, 1], [15, 10, 8, 6, 5, 4, 3, 2, 1], [15, 10, 8, 7, 6, 5, 4, 3, 2, 1], [15, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [15, 11, 7, 3], [15, 11, 7, 3, 1], [15, 11, 7, 3, 2, 1], [15, 11, 7, 4, 1], [15, 11, 7, 4, 2], [15, 11, 7, 4, 2, 1], [15, 11, 7, 4, 3, 2, 1], [15, 11, 7, 5, 3, 1], [15, 11, 7, 5, 3, 2, 1], [15, 11, 7, 5, 4, 3, 2, 1], [15, 11, 7, 6, 5, 4, 3, 2, 1], [15, 11, 8, 5, 2], [15, 11, 8, 5, 2, 1], [15, 11, 8, 5, 3, 1], [15, 11, 8, 5, 3, 2, 1], [15, 11, 8, 5, 4, 3, 2, 1], [15, 11, 8, 6, 4, 2], [15, 11, 8, 6, 4, 2, 1], [15, 11, 8, 6, 4, 3, 2, 1], [15, 11, 8, 6, 5, 4, 3, 2, 1], [15, 11, 8, 7, 6, 5, 4, 3, 2, 1], [15, 11, 9, 7, 5, 3, 1], [15, 11, 9, 7, 5, 3, 2, 1], [15, 11, 9, 7, 5, 4, 3, 2, 1], [15, 11, 9, 7, 6, 5, 4, 3, 2, 1], [15, 11, 9, 8, 7, 6, 5, 4, 3, 2, 1], [15, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [15, 12, 9, 6, 3], [15, 12, 9, 6, 3, 1], [15, 12, 9, 6, 3, 2, 1], [15, 12, 9, 6, 4, 2], [15, 12, 9, 6, 4, 2, 1], [15, 12, 9, 6, 4, 3, 2, 1], [15, 12, 9, 6, 5, 4, 3, 2, 1], [15, 12, 9, 7, 5, 3, 1], [15, 12, 9, 7, 5, 3, 2, 1], [15, 12, 9, 7, 5, 4, 3, 2, 1], [15, 12, 9, 7, 6, 5, 4, 3, 2, 1], [15, 12, 9, 8, 7, 6, 5, 4, 3, 2, 1], [15, 12, 10, 8, 6, 4, 2], [15, 12, 10, 8, 6, 4, 2, 1], [15, 12, 10, 8, 6, 4, 3, 2, 1], [15, 12, 10, 8, 6, 5, 4, 3, 2, 1], [15, 12, 10, 8, 7, 6, 5, 4, 3, 2, 1], [15, 12, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [15, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [15, 13, 11, 9, 7, 5, 3, 1], [15, 13, 11, 9, 7, 5, 3, 2, 1], [15, 13, 11, 9, 7, 5, 4, 3, 2, 1], [15, 13, 11, 9, 7, 6, 5, 4, 3, 2, 1], [15, 13, 11, 9, 8, 7, 6, 5, 4, 3, 2, 1], [15, 13, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [15, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1]], \"expected\": [[8, 7], [8, 6, 1], [8, 5, 2], [8, 5, 1, 1], [8, 4, 3], [8, 4, 2, 1], [8, 4, 1, 1, 1], [8, 3, 3, 1], [8, 3, 2, 2], [8, 3, 2, 1, 1], [8, 3, 1, 1, 1, 1], [8, 2, 2, 2, 1], [8, 2, 2, 1, 1, 1], [8, 2, 1, 1, 1, 1, 1], [8, 1, 1, 1, 1, 1, 1, 1], [7, 7, 1], [7, 6, 2], [7, 6, 1, 1], [7, 5, 3], [7, 5, 2, 1], [7, 5, 1, 1, 1], [7, 4, 4], [7, 4, 3, 1], [7, 4, 2, 2], [7, 4, 2, 1, 1], [7, 4, 1, 1, 1, 1], [7, 3, 3, 2], [7, 3, 3, 1, 1], [7, 3, 2, 2, 1], [7, 3, 2, 1, 1, 1], [7, 3, 1, 1, 1, 1, 1], [7, 2, 2, 2, 2], [7, 2, 2, 2, 1, 1], [7, 2, 2, 1, 1, 1, 1], [7, 2, 1, 1, 1, 1, 1, 1], [7, 1, 1, 1, 1, 1, 1, 1, 1], [6, 6, 3], [6, 6, 2, 1], [6, 6, 1, 1, 1], [6, 5, 4], [6, 5, 3, 1], [6, 5, 2, 2], [6, 5, 2, 1, 1], [6, 5, 1, 1, 1, 1], [6, 4, 4, 1], [6, 4, 3, 2], [6, 4, 3, 1, 1], [6, 4, 2, 2, 1], [6, 4, 2, 1, 1, 1], [6, 4, 1, 1, 1, 1, 1], [6, 3, 3, 3], [6, 3, 3, 2, 1], [6, 3, 3, 1, 1, 1], [6, 3, 2, 2, 2], [6, 3, 2, 2, 1, 1], [6, 3, 2, 1, 1, 1, 1], [6, 3, 1, 1, 1, 1, 1, 1], [6, 2, 2, 2, 2, 1], [6, 2, 2, 2, 1, 1, 1], [6, 2, 2, 1, 1, 1, 1, 1], [6, 2, 1, 1, 1, 1, 1, 1, 1], [6, 1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 5, 5], [5, 5, 4, 1], [5, 5, 3, 2], [5, 5, 3, 1, 1], [5, 5, 2, 2, 1], [5, 5, 2, 1, 1, 1], [5, 5, 1, 1, 1, 1, 1], [5, 4, 4, 2], [5, 4, 4, 1, 1], [5, 4, 3, 3], [5, 4, 3, 2, 1], [5, 4, 3, 1, 1, 1], [5, 4, 2, 2, 2], [5, 4, 2, 2, 1, 1], [5, 4, 2, 1, 1, 1, 1], [5, 4, 1, 1, 1, 1, 1, 1], [5, 3, 3, 3, 1], [5, 3, 3, 2, 2], [5, 3, 3, 2, 1, 1], [5, 3, 3, 1, 1, 1, 1], [5, 3, 2, 2, 2, 1], [5, 3, 2, 2, 1, 1, 1], [5, 3, 2, 1, 1, 1, 1, 1], [5, 3, 1, 1, 1, 1, 1, 1, 1], [5, 2, 2, 2, 2, 2], [5, 2, 2, 2, 2, 1, 1], [5, 2, 2, 2, 1, 1, 1, 1], [5, 2, 2, 1, 1, 1, 1, 1, 1], [5, 2, 1, 1, 1, 1, 1, 1, 1, 1], [5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [4, 4, 4, 3], [4, 4, 4, 2, 1], [4, 4, 4, 1, 1, 1], [4, 4, 3, 3, 1], [4, 4, 3, 2, 2], [4, 4, 3, 2, 1, 1], [4, 4, 3, 1, 1, 1, 1], [4, 4, 2, 2, 2, 1], [4, 4, 2, 2, 1, 1, 1], [4, 4, 2, 1, 1, 1, 1, 1], [4, 4, 1, 1, 1, 1, 1, 1, 1], [4, 3, 3, 3, 2], [4, 3, 3, 3, 1, 1], [4, 3, 3, 2, 2, 1], [4, 3, 3, 2, 1, 1, 1], [4, 3, 3, 1, 1, 1, 1, 1], [4, 3, 2, 2, 2, 2], [4, 3, 2, 2, 2, 1, 1], [4, 3, 2, 2, 1, 1, 1, 1], [4, 3, 2, 1, 1, 1, 1, 1, 1], [4, 3, 1, 1, 1, 1, 1, 1, 1, 1], [4, 2, 2, 2, 2, 2, 1], [4, 2, 2, 2, 2, 1, 1, 1], [4, 2, 2, 2, 1, 1, 1, 1, 1], [4, 2, 2, 1, 1, 1, 1, 1, 1, 1], [4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1], [4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 3, 3, 3, 3], [3, 3, 3, 3, 2, 1], [3, 3, 3, 3, 1, 1, 1], [3, 3, 3, 2, 2, 2], [3, 3, 3, 2, 2, 1, 1], [3, 3, 3, 2, 1, 1, 1, 1], [3, 3, 3, 1, 1, 1, 1, 1, 1], [3, 3, 2, 2, 2, 2, 1], [3, 3, 2, 2, 2, 1, 1, 1], [3, 3, 2, 2, 1, 1, 1, 1, 1], [3, 3, 2, 1, 1, 1, 1, 1, 1, 1], [3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 2, 2, 2, 2, 2, 2], [3, 2, 2, 2, 2, 2, 1, 1], [3, 2, 2, 2, 2, 1, 1, 1, 1], [3, 2, 2, 2, 1, 1, 1, 1, 1, 1], [3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1], [3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 2, 2, 1], [2, 2, 2, 2, 2, 2, 1, 1, 1], [2, 2, 2, 2, 2, 1, 1, 1, 1, 1], [2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]], \"passed\": false}, {\"check\": \"explicit oracle 4\", \"actual\": [[]], \"expected\": [[]], \"passed\": true}, {\"check\": \"explicit oracle 5\", \"actual\": [[]], \"expected\": [[]], \"passed\": true}, {\"check\": \"explicit oracle 6\", \"actual\": [[]], \"expected\": [[]], \"passed\": true}, {\"check\": \"explicit oracle 7\", \"actual\": [[]], \"expected\": [[]], \"passed\": true}], \"passed\": false}\n"},"broken":{"elapsed_ms":49.076,"exit_code":1,"observations":[{"actual":[[1,2],[1,1,1]],"check":"explicit oracle 0","expected":[[2,1],[1,1,1]],"passed":false},{"actual":[[1,1]],"check":"explicit oracle 1","expected":[[1,1]],"passed":true},{"actual":[[]],"check":"explicit oracle 2","expected":[[]],"passed":true},{"actual":[[7,8],[1,6,8],[2,5,8],[1,1,5,8],[3,4,8],[1,2,4,8],[1,1,1,4,8],[1,3,3,8],[2,2,3,8],[1,1,2,3,8],[1,1,1,1,3,8],[1,2,2,2,8],[1,1,1,2,2,8],[1,1,1,1,1,2,8],[1,1,1,1,1,1,1,8],[1,7,7],[2,6,7],[1,1,6,7],[3,5,7],[1,2,5,7],[1,1,1,5,7],[4,4,7],[1,3,4,7],[2,2,4,7],[1,1,2,4,7],[1,1,1,1,4,7],[2,3,3,7],[1,1,3,3,7],[1,2,2,3,7],[1,1,1,2,3,7],[1,1,1,1,1,3,7],[2,2,2,2,7],[1,1,2,2,2,7],[1,1,1,1,2,2,7],[1,1,1,1,1,1,2,7],[1,1,1,1,1,1,1,1,7],[3,6,6],[1,2,6,6],[1,1,1,6,6],[4,5,6],[1,3,5,6],[2,2,5,6],[1,1,2,5,6],[1,1,1,1,5,6],[1,4,4,6],[2,3,4,6],[1,1,3,4,6],[1,2,2,4,6],[1,1,1,2,4,6],[1,1,1,1,1,4,6],[3,3,3,6],[1,2,3,3,6],[1,1,1,3,3,6],[2,2,2,3,6],[1,1,2,2,3,6],[1,1,1,1,2,3,6],[1,1,1,1,1,1,3,6],[1,2,2,2,2,6],[1,1,1,2,2,2,6],[1,1,1,1,1,2,2,6],[1,1,1,1,1,1,1,2,6],[1,1,1,1,1,1,1,1,1,6],[5,5,5],[1,4,5,5],[2,3,5,5],[1,1,3,5,5],[1,2,2,5,5],[1,1,1,2,5,5],[1,1,1,1,1,5,5],[2,4,4,5],[1,1,4,4,5],[3,3,4,5],[1,2,3,4,5],[1,1,1,3,4,5],[2,2,2,4,5],[1,1,2,2,4,5],[1,1,1,1,2,4,5],[1,1,1,1,1,1,4,5],[1,3,3,3,5],[2,2,3,3,5],[1,1,2,3,3,5],[1,1,1,1,3,3,5],[1,2,2,2,3,5],[1,1,1,2,2,3,5],[1,1,1,1,1,2,3,5],[1,1,1,1,1,1,1,3,5],[2,2,2,2,2,5],[1,1,2,2,2,2,5],[1,1,1,1,2,2,2,5],[1,1,1,1,1,1,2,2,5],[1,1,1,1,1,1,1,1,2,5],[1,1,1,1,1,1,1,1,1,1,5],[3,4,4,4],[1,2,4,4,4],[1,1,1,4,4,4],[1,3,3,4,4],[2,2,3,4,4],[1,1,2,3,4,4],[1,1,1,1,3,4,4],[1,2,2,2,4,4],[1,1,1,2,2,4,4],[1,1,1,1,1,2,4,4],[1,1,1,1,1,1,1,4,4],[2,3,3,3,4],[1,1,3,3,3,4],[1,2,2,3,3,4],[1,1,1,2,3,3,4],[1,1,1,1,1,3,3,4],[2,2,2,2,3,4],[1,1,2,2,2,3,4],[1,1,1,1,2,2,3,4],[1,1,1,1,1,1,2,3,4],[1,1,1,1,1,1,1,1,3,4],[1,2,2,2,2,2,4],[1,1,1,2,2,2,2,4],[1,1,1,1,1,2,2,2,4],[1,1,1,1,1,1,1,2,2,4],[1,1,1,1,1,1,1,1,1,2,4],[1,1,1,1,1,1,1,1,1,1,1,4],[3,3,3,3,3],[1,2,3,3,3,3],[1,1,1,3,3,3,3],[2,2,2,3,3,3],[1,1,2,2,3,3,3],[1,1,1,1,2,3,3,3],[1,1,1,1,1,1,3,3,3],[1,2,2,2,2,3,3],[1,1,1,2,2,2,3,3],[1,1,1,1,1,2,2,3,3],[1,1,1,1,1,1,1,2,3,3],[1,1,1,1,1,1,1,1,1,3,3],[2,2,2,2,2,2,3],[1,1,2,2,2,2,2,3],[1,1,1,1,2,2,2,2,3],[1,1,1,1,1,1,2,2,2,3],[1,1,1,1,1,1,1,1,2,2,3],[1,1,1,1,1,1,1,1,1,1,2,3],[1,1,1,1,1,1,1,1,1,1,1,1,3],[1,2,2,2,2,2,2,2],[1,1,1,2,2,2,2,2,2],[1,1,1,1,1,2,2,2,2,2],[1,1,1,1,1,1,1,2,2,2,2],[1,1,1,1,1,1,1,1,1,2,2,2],[1,1,1,1,1,1,1,1,1,1,1,2,2],[1,1,1,1,1,1,1,1,1,1,1,1,1,2],[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]],"check":"explicit oracle 3","expected":[[8,7],[8,6,1],[8,5,2],[8,5,1,1],[8,4,3],[8,4,2,1],[8,4,1,1,1],[8,3,3,1],[8,3,2,2],[8,3,2,1,1],[8,3,1,1,1,1],[8,2,2,2,1],[8,2,2,1,1,1],[8,2,1,1,1,1,1],[8,1,1,1,1,1,1,1],[7,7,1],[7,6,2],[7,6,1,1],[7,5,3],[7,5,2,1],[7,5,1,1,1],[7,4,4],[7,4,3,1],[7,4,2,2],[7,4,2,1,1],[7,4,1,1,1,1],[7,3,3,2],[7,3,3,1,1],[7,3,2,2,1],[7,3,2,1,1,1],[7,3,1,1,1,1,1],[7,2,2,2,2],[7,2,2,2,1,1],[7,2,2,1,1,1,1],[7,2,1,1,1,1,1,1],[7,1,1,1,1,1,1,1,1],[6,6,3],[6,6,2,1],[6,6,1,1,1],[6,5,4],[6,5,3,1],[6,5,2,2],[6,5,2,1,1],[6,5,1,1,1,1],[6,4,4,1],[6,4,3,2],[6,4,3,1,1],[6,4,2,2,1],[6,4,2,1,1,1],[6,4,1,1,1,1,1],[6,3,3,3],[6,3,3,2,1],[6,3,3,1,1,1],[6,3,2,2,2],[6,3,2,2,1,1],[6,3,2,1,1,1,1],[6,3,1,1,1,1,1,1],[6,2,2,2,2,1],[6,2,2,2,1,1,1],[6,2,2,1,1,1,1,1],[6,2,1,1,1,1,1,1,1],[6,1,1,1,1,1,1,1,1,1],[5,5,5],[5,5,4,1],[5,5,3,2],[5,5,3,1,1],[5,5,2,2,1],[5,5,2,1,1,1],[5,5,1,1,1,1,1],[5,4,4,2],[5,4,4,1,1],[5,4,3,3],[5,4,3,2,1],[5,4,3,1,1,1],[5,4,2,2,2],[5,4,2,2,1,1],[5,4,2,1,1,1,1],[5,4,1,1,1,1,1,1],[5,3,3,3,1],[5,3,3,2,2],[5,3,3,2,1,1],[5,3,3,1,1,1,1],[5,3,2,2,2,1],[5,3,2,2,1,1,1],[5,3,2,1,1,1,1,1],[5,3,1,1,1,1,1,1,1],[5,2,2,2,2,2],[5,2,2,2,2,1,1],[5,2,2,2,1,1,1,1],[5,2,2,1,1,1,1,1,1],[5,2,1,1,1,1,1,1,1,1],[5,1,1,1,1,1,1,1,1,1,1],[4,4,4,3],[4,4,4,2,1],[4,4,4,1,1,1],[4,4,3,3,1],[4,4,3,2,2],[4,4,3,2,1,1],[4,4,3,1,1,1,1],[4,4,2,2,2,1],[4,4,2,2,1,1,1],[4,4,2,1,1,1,1,1],[4,4,1,1,1,1,1,1,1],[4,3,3,3,2],[4,3,3,3,1,1],[4,3,3,2,2,1],[4,3,3,2,1,1,1],[4,3,3,1,1,1,1,1],[4,3,2,2,2,2],[4,3,2,2,2,1,1],[4,3,2,2,1,1,1,1],[4,3,2,1,1,1,1,1,1],[4,3,1,1,1,1,1,1,1,1],[4,2,2,2,2,2,1],[4,2,2,2,2,1,1,1],[4,2,2,2,1,1,1,1,1],[4,2,2,1,1,1,1,1,1,1],[4,2,1,1,1,1,1,1,1,1,1],[4,1,1,1,1,1,1,1,1,1,1,1],[3,3,3,3,3],[3,3,3,3,2,1],[3,3,3,3,1,1,1],[3,3,3,2,2,2],[3,3,3,2,2,1,1],[3,3,3,2,1,1,1,1],[3,3,3,1,1,1,1,1,1],[3,3,2,2,2,2,1],[3,3,2,2,2,1,1,1],[3,3,2,2,1,1,1,1,1],[3,3,2,1,1,1,1,1,1,1],[3,3,1,1,1,1,1,1,1,1,1],[3,2,2,2,2,2,2],[3,2,2,2,2,2,1,1],[3,2,2,2,2,1,1,1,1],[3,2,2,2,1,1,1,1,1,1],[3,2,2,1,1,1,1,1,1,1,1],[3,2,1,1,1,1,1,1,1,1,1,1],[3,1,1,1,1,1,1,1,1,1,1,1,1],[2,2,2,2,2,2,2,1],[2,2,2,2,2,2,1,1,1],[2,2,2,2,2,1,1,1,1,1],[2,2,2,2,1,1,1,1,1,1,1],[2,2,2,1,1,1,1,1,1,1,1,1],[2,2,1,1,1,1,1,1,1,1,1,1,1],[2,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]],"passed":false},{"actual":[[]],"check":"explicit oracle 4","expected":[[]],"passed":true},{"actual":[[]],"check":"explicit oracle 5","expected":[[]],"passed":true},{"actual":[[]],"check":"explicit oracle 6","expected":[[]],"passed":true},{"actual":[[]],"check":"explicit oracle 7","expected":[[]],"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"explicit oracle 0\", \"actual\": [[1, 2], [1, 1, 1]], \"expected\": [[2, 1], [1, 1, 1]], \"passed\": false}, {\"check\": \"explicit oracle 1\", \"actual\": [[1, 1]], \"expected\": [[1, 1]], \"passed\": true}, {\"check\": \"explicit oracle 2\", \"actual\": [[]], \"expected\": [[]], \"passed\": true}, {\"check\": \"explicit oracle 3\", \"actual\": [[7, 8], [1, 6, 8], [2, 5, 8], [1, 1, 5, 8], [3, 4, 8], [1, 2, 4, 8], [1, 1, 1, 4, 8], [1, 3, 3, 8], [2, 2, 3, 8], [1, 1, 2, 3, 8], [1, 1, 1, 1, 3, 8], [1, 2, 2, 2, 8], [1, 1, 1, 2, 2, 8], [1, 1, 1, 1, 1, 2, 8], [1, 1, 1, 1, 1, 1, 1, 8], [1, 7, 7], [2, 6, 7], [1, 1, 6, 7], [3, 5, 7], [1, 2, 5, 7], [1, 1, 1, 5, 7], [4, 4, 7], [1, 3, 4, 7], [2, 2, 4, 7], [1, 1, 2, 4, 7], [1, 1, 1, 1, 4, 7], [2, 3, 3, 7], [1, 1, 3, 3, 7], [1, 2, 2, 3, 7], [1, 1, 1, 2, 3, 7], [1, 1, 1, 1, 1, 3, 7], [2, 2, 2, 2, 7], [1, 1, 2, 2, 2, 7], [1, 1, 1, 1, 2, 2, 7], [1, 1, 1, 1, 1, 1, 2, 7], [1, 1, 1, 1, 1, 1, 1, 1, 7], [3, 6, 6], [1, 2, 6, 6], [1, 1, 1, 6, 6], [4, 5, 6], [1, 3, 5, 6], [2, 2, 5, 6], [1, 1, 2, 5, 6], [1, 1, 1, 1, 5, 6], [1, 4, 4, 6], [2, 3, 4, 6], [1, 1, 3, 4, 6], [1, 2, 2, 4, 6], [1, 1, 1, 2, 4, 6], [1, 1, 1, 1, 1, 4, 6], [3, 3, 3, 6], [1, 2, 3, 3, 6], [1, 1, 1, 3, 3, 6], [2, 2, 2, 3, 6], [1, 1, 2, 2, 3, 6], [1, 1, 1, 1, 2, 3, 6], [1, 1, 1, 1, 1, 1, 3, 6], [1, 2, 2, 2, 2, 6], [1, 1, 1, 2, 2, 2, 6], [1, 1, 1, 1, 1, 2, 2, 6], [1, 1, 1, 1, 1, 1, 1, 2, 6], [1, 1, 1, 1, 1, 1, 1, 1, 1, 6], [5, 5, 5], [1, 4, 5, 5], [2, 3, 5, 5], [1, 1, 3, 5, 5], [1, 2, 2, 5, 5], [1, 1, 1, 2, 5, 5], [1, 1, 1, 1, 1, 5, 5], [2, 4, 4, 5], [1, 1, 4, 4, 5], [3, 3, 4, 5], [1, 2, 3, 4, 5], [1, 1, 1, 3, 4, 5], [2, 2, 2, 4, 5], [1, 1, 2, 2, 4, 5], [1, 1, 1, 1, 2, 4, 5], [1, 1, 1, 1, 1, 1, 4, 5], [1, 3, 3, 3, 5], [2, 2, 3, 3, 5], [1, 1, 2, 3, 3, 5], [1, 1, 1, 1, 3, 3, 5], [1, 2, 2, 2, 3, 5], [1, 1, 1, 2, 2, 3, 5], [1, 1, 1, 1, 1, 2, 3, 5], [1, 1, 1, 1, 1, 1, 1, 3, 5], [2, 2, 2, 2, 2, 5], [1, 1, 2, 2, 2, 2, 5], [1, 1, 1, 1, 2, 2, 2, 5], [1, 1, 1, 1, 1, 1, 2, 2, 5], [1, 1, 1, 1, 1, 1, 1, 1, 2, 5], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5], [3, 4, 4, 4], [1, 2, 4, 4, 4], [1, 1, 1, 4, 4, 4], [1, 3, 3, 4, 4], [2, 2, 3, 4, 4], [1, 1, 2, 3, 4, 4], [1, 1, 1, 1, 3, 4, 4], [1, 2, 2, 2, 4, 4], [1, 1, 1, 2, 2, 4, 4], [1, 1, 1, 1, 1, 2, 4, 4], [1, 1, 1, 1, 1, 1, 1, 4, 4], [2, 3, 3, 3, 4], [1, 1, 3, 3, 3, 4], [1, 2, 2, 3, 3, 4], [1, 1, 1, 2, 3, 3, 4], [1, 1, 1, 1, 1, 3, 3, 4], [2, 2, 2, 2, 3, 4], [1, 1, 2, 2, 2, 3, 4], [1, 1, 1, 1, 2, 2, 3, 4], [1, 1, 1, 1, 1, 1, 2, 3, 4], [1, 1, 1, 1, 1, 1, 1, 1, 3, 4], [1, 2, 2, 2, 2, 2, 4], [1, 1, 1, 2, 2, 2, 2, 4], [1, 1, 1, 1, 1, 2, 2, 2, 4], [1, 1, 1, 1, 1, 1, 1, 2, 2, 4], [1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4], [3, 3, 3, 3, 3], [1, 2, 3, 3, 3, 3], [1, 1, 1, 3, 3, 3, 3], [2, 2, 2, 3, 3, 3], [1, 1, 2, 2, 3, 3, 3], [1, 1, 1, 1, 2, 3, 3, 3], [1, 1, 1, 1, 1, 1, 3, 3, 3], [1, 2, 2, 2, 2, 3, 3], [1, 1, 1, 2, 2, 2, 3, 3], [1, 1, 1, 1, 1, 2, 2, 3, 3], [1, 1, 1, 1, 1, 1, 1, 2, 3, 3], [1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3], [2, 2, 2, 2, 2, 2, 3], [1, 1, 2, 2, 2, 2, 2, 3], [1, 1, 1, 1, 2, 2, 2, 2, 3], [1, 1, 1, 1, 1, 1, 2, 2, 2, 3], [1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3], [1, 2, 2, 2, 2, 2, 2, 2], [1, 1, 1, 2, 2, 2, 2, 2, 2], [1, 1, 1, 1, 1, 2, 2, 2, 2, 2], [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2], [1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]], \"expected\": [[8, 7], [8, 6, 1], [8, 5, 2], [8, 5, 1, 1], [8, 4, 3], [8, 4, 2, 1], [8, 4, 1, 1, 1], [8, 3, 3, 1], [8, 3, 2, 2], [8, 3, 2, 1, 1], [8, 3, 1, 1, 1, 1], [8, 2, 2, 2, 1], [8, 2, 2, 1, 1, 1], [8, 2, 1, 1, 1, 1, 1], [8, 1, 1, 1, 1, 1, 1, 1], [7, 7, 1], [7, 6, 2], [7, 6, 1, 1], [7, 5, 3], [7, 5, 2, 1], [7, 5, 1, 1, 1], [7, 4, 4], [7, 4, 3, 1], [7, 4, 2, 2], [7, 4, 2, 1, 1], [7, 4, 1, 1, 1, 1], [7, 3, 3, 2], [7, 3, 3, 1, 1], [7, 3, 2, 2, 1], [7, 3, 2, 1, 1, 1], [7, 3, 1, 1, 1, 1, 1], [7, 2, 2, 2, 2], [7, 2, 2, 2, 1, 1], [7, 2, 2, 1, 1, 1, 1], [7, 2, 1, 1, 1, 1, 1, 1], [7, 1, 1, 1, 1, 1, 1, 1, 1], [6, 6, 3], [6, 6, 2, 1], [6, 6, 1, 1, 1], [6, 5, 4], [6, 5, 3, 1], [6, 5, 2, 2], [6, 5, 2, 1, 1], [6, 5, 1, 1, 1, 1], [6, 4, 4, 1], [6, 4, 3, 2], [6, 4, 3, 1, 1], [6, 4, 2, 2, 1], [6, 4, 2, 1, 1, 1], [6, 4, 1, 1, 1, 1, 1], [6, 3, 3, 3], [6, 3, 3, 2, 1], [6, 3, 3, 1, 1, 1], [6, 3, 2, 2, 2], [6, 3, 2, 2, 1, 1], [6, 3, 2, 1, 1, 1, 1], [6, 3, 1, 1, 1, 1, 1, 1], [6, 2, 2, 2, 2, 1], [6, 2, 2, 2, 1, 1, 1], [6, 2, 2, 1, 1, 1, 1, 1], [6, 2, 1, 1, 1, 1, 1, 1, 1], [6, 1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 5, 5], [5, 5, 4, 1], [5, 5, 3, 2], [5, 5, 3, 1, 1], [5, 5, 2, 2, 1], [5, 5, 2, 1, 1, 1], [5, 5, 1, 1, 1, 1, 1], [5, 4, 4, 2], [5, 4, 4, 1, 1], [5, 4, 3, 3], [5, 4, 3, 2, 1], [5, 4, 3, 1, 1, 1], [5, 4, 2, 2, 2], [5, 4, 2, 2, 1, 1], [5, 4, 2, 1, 1, 1, 1], [5, 4, 1, 1, 1, 1, 1, 1], [5, 3, 3, 3, 1], [5, 3, 3, 2, 2], [5, 3, 3, 2, 1, 1], [5, 3, 3, 1, 1, 1, 1], [5, 3, 2, 2, 2, 1], [5, 3, 2, 2, 1, 1, 1], [5, 3, 2, 1, 1, 1, 1, 1], [5, 3, 1, 1, 1, 1, 1, 1, 1], [5, 2, 2, 2, 2, 2], [5, 2, 2, 2, 2, 1, 1], [5, 2, 2, 2, 1, 1, 1, 1], [5, 2, 2, 1, 1, 1, 1, 1, 1], [5, 2, 1, 1, 1, 1, 1, 1, 1, 1], [5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [4, 4, 4, 3], [4, 4, 4, 2, 1], [4, 4, 4, 1, 1, 1], [4, 4, 3, 3, 1], [4, 4, 3, 2, 2], [4, 4, 3, 2, 1, 1], [4, 4, 3, 1, 1, 1, 1], [4, 4, 2, 2, 2, 1], [4, 4, 2, 2, 1, 1, 1], [4, 4, 2, 1, 1, 1, 1, 1], [4, 4, 1, 1, 1, 1, 1, 1, 1], [4, 3, 3, 3, 2], [4, 3, 3, 3, 1, 1], [4, 3, 3, 2, 2, 1], [4, 3, 3, 2, 1, 1, 1], [4, 3, 3, 1, 1, 1, 1, 1], [4, 3, 2, 2, 2, 2], [4, 3, 2, 2, 2, 1, 1], [4, 3, 2, 2, 1, 1, 1, 1], [4, 3, 2, 1, 1, 1, 1, 1, 1], [4, 3, 1, 1, 1, 1, 1, 1, 1, 1], [4, 2, 2, 2, 2, 2, 1], [4, 2, 2, 2, 2, 1, 1, 1], [4, 2, 2, 2, 1, 1, 1, 1, 1], [4, 2, 2, 1, 1, 1, 1, 1, 1, 1], [4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1], [4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 3, 3, 3, 3], [3, 3, 3, 3, 2, 1], [3, 3, 3, 3, 1, 1, 1], [3, 3, 3, 2, 2, 2], [3, 3, 3, 2, 2, 1, 1], [3, 3, 3, 2, 1, 1, 1, 1], [3, 3, 3, 1, 1, 1, 1, 1, 1], [3, 3, 2, 2, 2, 2, 1], [3, 3, 2, 2, 2, 1, 1, 1], [3, 3, 2, 2, 1, 1, 1, 1, 1], [3, 3, 2, 1, 1, 1, 1, 1, 1, 1], [3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 2, 2, 2, 2, 2, 2], [3, 2, 2, 2, 2, 2, 1, 1], [3, 2, 2, 2, 2, 1, 1, 1, 1], [3, 2, 2, 2, 1, 1, 1, 1, 1, 1], [3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1], [3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 2, 2, 1], [2, 2, 2, 2, 2, 2, 1, 1, 1], [2, 2, 2, 2, 2, 1, 1, 1, 1, 1], [2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]], \"passed\": false}, {\"check\": \"explicit oracle 4\", \"actual\": [[]], \"expected\": [[]], \"passed\": true}, {\"check\": \"explicit oracle 5\", \"actual\": [[]], \"expected\": [[]], \"passed\": true}, {\"check\": \"explicit oracle 6\", \"actual\": [[]], \"expected\": [[]], \"passed\": true}, {\"check\": \"explicit oracle 7\", \"actual\": [[]], \"expected\": [[]], \"passed\": true}], \"passed\": false}\n"},"fixed":{"elapsed_ms":47.96,"exit_code":0,"observations":[{"actual":[[2,1],[1,1,1]],"check":"explicit oracle 0","expected":[[2,1],[1,1,1]],"passed":true},{"actual":[[1,1]],"check":"explicit oracle 1","expected":[[1,1]],"passed":true},{"actual":[[]],"check":"explicit oracle 2","expected":[[]],"passed":true},{"actual":[[8,7],[8,6,1],[8,5,2],[8,5,1,1],[8,4,3],[8,4,2,1],[8,4,1,1,1],[8,3,3,1],[8,3,2,2],[8,3,2,1,1],[8,3,1,1,1,1],[8,2,2,2,1],[8,2,2,1,1,1],[8,2,1,1,1,1,1],[8,1,1,1,1,1,1,1],[7,7,1],[7,6,2],[7,6,1,1],[7,5,3],[7,5,2,1],[7,5,1,1,1],[7,4,4],[7,4,3,1],[7,4,2,2],[7,4,2,1,1],[7,4,1,1,1,1],[7,3,3,2],[7,3,3,1,1],[7,3,2,2,1],[7,3,2,1,1,1],[7,3,1,1,1,1,1],[7,2,2,2,2],[7,2,2,2,1,1],[7,2,2,1,1,1,1],[7,2,1,1,1,1,1,1],[7,1,1,1,1,1,1,1,1],[6,6,3],[6,6,2,1],[6,6,1,1,1],[6,5,4],[6,5,3,1],[6,5,2,2],[6,5,2,1,1],[6,5,1,1,1,1],[6,4,4,1],[6,4,3,2],[6,4,3,1,1],[6,4,2,2,1],[6,4,2,1,1,1],[6,4,1,1,1,1,1],[6,3,3,3],[6,3,3,2,1],[6,3,3,1,1,1],[6,3,2,2,2],[6,3,2,2,1,1],[6,3,2,1,1,1,1],[6,3,1,1,1,1,1,1],[6,2,2,2,2,1],[6,2,2,2,1,1,1],[6,2,2,1,1,1,1,1],[6,2,1,1,1,1,1,1,1],[6,1,1,1,1,1,1,1,1,1],[5,5,5],[5,5,4,1],[5,5,3,2],[5,5,3,1,1],[5,5,2,2,1],[5,5,2,1,1,1],[5,5,1,1,1,1,1],[5,4,4,2],[5,4,4,1,1],[5,4,3,3],[5,4,3,2,1],[5,4,3,1,1,1],[5,4,2,2,2],[5,4,2,2,1,1],[5,4,2,1,1,1,1],[5,4,1,1,1,1,1,1],[5,3,3,3,1],[5,3,3,2,2],[5,3,3,2,1,1],[5,3,3,1,1,1,1],[5,3,2,2,2,1],[5,3,2,2,1,1,1],[5,3,2,1,1,1,1,1],[5,3,1,1,1,1,1,1,1],[5,2,2,2,2,2],[5,2,2,2,2,1,1],[5,2,2,2,1,1,1,1],[5,2,2,1,1,1,1,1,1],[5,2,1,1,1,1,1,1,1,1],[5,1,1,1,1,1,1,1,1,1,1],[4,4,4,3],[4,4,4,2,1],[4,4,4,1,1,1],[4,4,3,3,1],[4,4,3,2,2],[4,4,3,2,1,1],[4,4,3,1,1,1,1],[4,4,2,2,2,1],[4,4,2,2,1,1,1],[4,4,2,1,1,1,1,1],[4,4,1,1,1,1,1,1,1],[4,3,3,3,2],[4,3,3,3,1,1],[4,3,3,2,2,1],[4,3,3,2,1,1,1],[4,3,3,1,1,1,1,1],[4,3,2,2,2,2],[4,3,2,2,2,1,1],[4,3,2,2,1,1,1,1],[4,3,2,1,1,1,1,1,1],[4,3,1,1,1,1,1,1,1,1],[4,2,2,2,2,2,1],[4,2,2,2,2,1,1,1],[4,2,2,2,1,1,1,1,1],[4,2,2,1,1,1,1,1,1,1],[4,2,1,1,1,1,1,1,1,1,1],[4,1,1,1,1,1,1,1,1,1,1,1],[3,3,3,3,3],[3,3,3,3,2,1],[3,3,3,3,1,1,1],[3,3,3,2,2,2],[3,3,3,2,2,1,1],[3,3,3,2,1,1,1,1],[3,3,3,1,1,1,1,1,1],[3,3,2,2,2,2,1],[3,3,2,2,2,1,1,1],[3,3,2,2,1,1,1,1,1],[3,3,2,1,1,1,1,1,1,1],[3,3,1,1,1,1,1,1,1,1,1],[3,2,2,2,2,2,2],[3,2,2,2,2,2,1,1],[3,2,2,2,2,1,1,1,1],[3,2,2,2,1,1,1,1,1,1],[3,2,2,1,1,1,1,1,1,1,1],[3,2,1,1,1,1,1,1,1,1,1,1],[3,1,1,1,1,1,1,1,1,1,1,1,1],[2,2,2,2,2,2,2,1],[2,2,2,2,2,2,1,1,1],[2,2,2,2,2,1,1,1,1,1],[2,2,2,2,1,1,1,1,1,1,1],[2,2,2,1,1,1,1,1,1,1,1,1],[2,2,1,1,1,1,1,1,1,1,1,1,1],[2,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]],"check":"explicit oracle 3","expected":[[8,7],[8,6,1],[8,5,2],[8,5,1,1],[8,4,3],[8,4,2,1],[8,4,1,1,1],[8,3,3,1],[8,3,2,2],[8,3,2,1,1],[8,3,1,1,1,1],[8,2,2,2,1],[8,2,2,1,1,1],[8,2,1,1,1,1,1],[8,1,1,1,1,1,1,1],[7,7,1],[7,6,2],[7,6,1,1],[7,5,3],[7,5,2,1],[7,5,1,1,1],[7,4,4],[7,4,3,1],[7,4,2,2],[7,4,2,1,1],[7,4,1,1,1,1],[7,3,3,2],[7,3,3,1,1],[7,3,2,2,1],[7,3,2,1,1,1],[7,3,1,1,1,1,1],[7,2,2,2,2],[7,2,2,2,1,1],[7,2,2,1,1,1,1],[7,2,1,1,1,1,1,1],[7,1,1,1,1,1,1,1,1],[6,6,3],[6,6,2,1],[6,6,1,1,1],[6,5,4],[6,5,3,1],[6,5,2,2],[6,5,2,1,1],[6,5,1,1,1,1],[6,4,4,1],[6,4,3,2],[6,4,3,1,1],[6,4,2,2,1],[6,4,2,1,1,1],[6,4,1,1,1,1,1],[6,3,3,3],[6,3,3,2,1],[6,3,3,1,1,1],[6,3,2,2,2],[6,3,2,2,1,1],[6,3,2,1,1,1,1],[6,3,1,1,1,1,1,1],[6,2,2,2,2,1],[6,2,2,2,1,1,1],[6,2,2,1,1,1,1,1],[6,2,1,1,1,1,1,1,1],[6,1,1,1,1,1,1,1,1,1],[5,5,5],[5,5,4,1],[5,5,3,2],[5,5,3,1,1],[5,5,2,2,1],[5,5,2,1,1,1],[5,5,1,1,1,1,1],[5,4,4,2],[5,4,4,1,1],[5,4,3,3],[5,4,3,2,1],[5,4,3,1,1,1],[5,4,2,2,2],[5,4,2,2,1,1],[5,4,2,1,1,1,1],[5,4,1,1,1,1,1,1],[5,3,3,3,1],[5,3,3,2,2],[5,3,3,2,1,1],[5,3,3,1,1,1,1],[5,3,2,2,2,1],[5,3,2,2,1,1,1],[5,3,2,1,1,1,1,1],[5,3,1,1,1,1,1,1,1],[5,2,2,2,2,2],[5,2,2,2,2,1,1],[5,2,2,2,1,1,1,1],[5,2,2,1,1,1,1,1,1],[5,2,1,1,1,1,1,1,1,1],[5,1,1,1,1,1,1,1,1,1,1],[4,4,4,3],[4,4,4,2,1],[4,4,4,1,1,1],[4,4,3,3,1],[4,4,3,2,2],[4,4,3,2,1,1],[4,4,3,1,1,1,1],[4,4,2,2,2,1],[4,4,2,2,1,1,1],[4,4,2,1,1,1,1,1],[4,4,1,1,1,1,1,1,1],[4,3,3,3,2],[4,3,3,3,1,1],[4,3,3,2,2,1],[4,3,3,2,1,1,1],[4,3,3,1,1,1,1,1],[4,3,2,2,2,2],[4,3,2,2,2,1,1],[4,3,2,2,1,1,1,1],[4,3,2,1,1,1,1,1,1],[4,3,1,1,1,1,1,1,1,1],[4,2,2,2,2,2,1],[4,2,2,2,2,1,1,1],[4,2,2,2,1,1,1,1,1],[4,2,2,1,1,1,1,1,1,1],[4,2,1,1,1,1,1,1,1,1,1],[4,1,1,1,1,1,1,1,1,1,1,1],[3,3,3,3,3],[3,3,3,3,2,1],[3,3,3,3,1,1,1],[3,3,3,2,2,2],[3,3,3,2,2,1,1],[3,3,3,2,1,1,1,1],[3,3,3,1,1,1,1,1,1],[3,3,2,2,2,2,1],[3,3,2,2,2,1,1,1],[3,3,2,2,1,1,1,1,1],[3,3,2,1,1,1,1,1,1,1],[3,3,1,1,1,1,1,1,1,1,1],[3,2,2,2,2,2,2],[3,2,2,2,2,2,1,1],[3,2,2,2,2,1,1,1,1],[3,2,2,2,1,1,1,1,1,1],[3,2,2,1,1,1,1,1,1,1,1],[3,2,1,1,1,1,1,1,1,1,1,1],[3,1,1,1,1,1,1,1,1,1,1,1,1],[2,2,2,2,2,2,2,1],[2,2,2,2,2,2,1,1,1],[2,2,2,2,2,1,1,1,1,1],[2,2,2,2,1,1,1,1,1,1,1],[2,2,2,1,1,1,1,1,1,1,1,1],[2,2,1,1,1,1,1,1,1,1,1,1,1],[2,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]],"passed":true},{"actual":[[]],"check":"explicit oracle 4","expected":[[]],"passed":true},{"actual":[[]],"check":"explicit oracle 5","expected":[[]],"passed":true},{"actual":[[]],"check":"explicit oracle 6","expected":[[]],"passed":true},{"actual":[[]],"check":"explicit oracle 7","expected":[[]],"passed":true}],"passed":true,"stderr":"","stdout":"{\"observations\": [{\"check\": \"explicit oracle 0\", \"actual\": [[2, 1], [1, 1, 1]], \"expected\": [[2, 1], [1, 1, 1]], \"passed\": true}, {\"check\": \"explicit oracle 1\", \"actual\": [[1, 1]], \"expected\": [[1, 1]], \"passed\": true}, {\"check\": \"explicit oracle 2\", \"actual\": [[]], \"expected\": [[]], \"passed\": true}, {\"check\": \"explicit oracle 3\", \"actual\": [[8, 7], [8, 6, 1], [8, 5, 2], [8, 5, 1, 1], [8, 4, 3], [8, 4, 2, 1], [8, 4, 1, 1, 1], [8, 3, 3, 1], [8, 3, 2, 2], [8, 3, 2, 1, 1], [8, 3, 1, 1, 1, 1], [8, 2, 2, 2, 1], [8, 2, 2, 1, 1, 1], [8, 2, 1, 1, 1, 1, 1], [8, 1, 1, 1, 1, 1, 1, 1], [7, 7, 1], [7, 6, 2], [7, 6, 1, 1], [7, 5, 3], [7, 5, 2, 1], [7, 5, 1, 1, 1], [7, 4, 4], [7, 4, 3, 1], [7, 4, 2, 2], [7, 4, 2, 1, 1], [7, 4, 1, 1, 1, 1], [7, 3, 3, 2], [7, 3, 3, 1, 1], [7, 3, 2, 2, 1], [7, 3, 2, 1, 1, 1], [7, 3, 1, 1, 1, 1, 1], [7, 2, 2, 2, 2], [7, 2, 2, 2, 1, 1], [7, 2, 2, 1, 1, 1, 1], [7, 2, 1, 1, 1, 1, 1, 1], [7, 1, 1, 1, 1, 1, 1, 1, 1], [6, 6, 3], [6, 6, 2, 1], [6, 6, 1, 1, 1], [6, 5, 4], [6, 5, 3, 1], [6, 5, 2, 2], [6, 5, 2, 1, 1], [6, 5, 1, 1, 1, 1], [6, 4, 4, 1], [6, 4, 3, 2], [6, 4, 3, 1, 1], [6, 4, 2, 2, 1], [6, 4, 2, 1, 1, 1], [6, 4, 1, 1, 1, 1, 1], [6, 3, 3, 3], [6, 3, 3, 2, 1], [6, 3, 3, 1, 1, 1], [6, 3, 2, 2, 2], [6, 3, 2, 2, 1, 1], [6, 3, 2, 1, 1, 1, 1], [6, 3, 1, 1, 1, 1, 1, 1], [6, 2, 2, 2, 2, 1], [6, 2, 2, 2, 1, 1, 1], [6, 2, 2, 1, 1, 1, 1, 1], [6, 2, 1, 1, 1, 1, 1, 1, 1], [6, 1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 5, 5], [5, 5, 4, 1], [5, 5, 3, 2], [5, 5, 3, 1, 1], [5, 5, 2, 2, 1], [5, 5, 2, 1, 1, 1], [5, 5, 1, 1, 1, 1, 1], [5, 4, 4, 2], [5, 4, 4, 1, 1], [5, 4, 3, 3], [5, 4, 3, 2, 1], [5, 4, 3, 1, 1, 1], [5, 4, 2, 2, 2], [5, 4, 2, 2, 1, 1], [5, 4, 2, 1, 1, 1, 1], [5, 4, 1, 1, 1, 1, 1, 1], [5, 3, 3, 3, 1], [5, 3, 3, 2, 2], [5, 3, 3, 2, 1, 1], [5, 3, 3, 1, 1, 1, 1], [5, 3, 2, 2, 2, 1], [5, 3, 2, 2, 1, 1, 1], [5, 3, 2, 1, 1, 1, 1, 1], [5, 3, 1, 1, 1, 1, 1, 1, 1], [5, 2, 2, 2, 2, 2], [5, 2, 2, 2, 2, 1, 1], [5, 2, 2, 2, 1, 1, 1, 1], [5, 2, 2, 1, 1, 1, 1, 1, 1], [5, 2, 1, 1, 1, 1, 1, 1, 1, 1], [5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [4, 4, 4, 3], [4, 4, 4, 2, 1], [4, 4, 4, 1, 1, 1], [4, 4, 3, 3, 1], [4, 4, 3, 2, 2], [4, 4, 3, 2, 1, 1], [4, 4, 3, 1, 1, 1, 1], [4, 4, 2, 2, 2, 1], [4, 4, 2, 2, 1, 1, 1], [4, 4, 2, 1, 1, 1, 1, 1], [4, 4, 1, 1, 1, 1, 1, 1, 1], [4, 3, 3, 3, 2], [4, 3, 3, 3, 1, 1], [4, 3, 3, 2, 2, 1], [4, 3, 3, 2, 1, 1, 1], [4, 3, 3, 1, 1, 1, 1, 1], [4, 3, 2, 2, 2, 2], [4, 3, 2, 2, 2, 1, 1], [4, 3, 2, 2, 1, 1, 1, 1], [4, 3, 2, 1, 1, 1, 1, 1, 1], [4, 3, 1, 1, 1, 1, 1, 1, 1, 1], [4, 2, 2, 2, 2, 2, 1], [4, 2, 2, 2, 2, 1, 1, 1], [4, 2, 2, 2, 1, 1, 1, 1, 1], [4, 2, 2, 1, 1, 1, 1, 1, 1, 1], [4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1], [4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 3, 3, 3, 3], [3, 3, 3, 3, 2, 1], [3, 3, 3, 3, 1, 1, 1], [3, 3, 3, 2, 2, 2], [3, 3, 3, 2, 2, 1, 1], [3, 3, 3, 2, 1, 1, 1, 1], [3, 3, 3, 1, 1, 1, 1, 1, 1], [3, 3, 2, 2, 2, 2, 1], [3, 3, 2, 2, 2, 1, 1, 1], [3, 3, 2, 2, 1, 1, 1, 1, 1], [3, 3, 2, 1, 1, 1, 1, 1, 1, 1], [3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 2, 2, 2, 2, 2, 2], [3, 2, 2, 2, 2, 2, 1, 1], [3, 2, 2, 2, 2, 1, 1, 1, 1], [3, 2, 2, 2, 1, 1, 1, 1, 1, 1], [3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1], [3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 2, 2, 1], [2, 2, 2, 2, 2, 2, 1, 1, 1], [2, 2, 2, 2, 2, 1, 1, 1, 1, 1], [2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]], \"expected\": [[8, 7], [8, 6, 1], [8, 5, 2], [8, 5, 1, 1], [8, 4, 3], [8, 4, 2, 1], [8, 4, 1, 1, 1], [8, 3, 3, 1], [8, 3, 2, 2], [8, 3, 2, 1, 1], [8, 3, 1, 1, 1, 1], [8, 2, 2, 2, 1], [8, 2, 2, 1, 1, 1], [8, 2, 1, 1, 1, 1, 1], [8, 1, 1, 1, 1, 1, 1, 1], [7, 7, 1], [7, 6, 2], [7, 6, 1, 1], [7, 5, 3], [7, 5, 2, 1], [7, 5, 1, 1, 1], [7, 4, 4], [7, 4, 3, 1], [7, 4, 2, 2], [7, 4, 2, 1, 1], [7, 4, 1, 1, 1, 1], [7, 3, 3, 2], [7, 3, 3, 1, 1], [7, 3, 2, 2, 1], [7, 3, 2, 1, 1, 1], [7, 3, 1, 1, 1, 1, 1], [7, 2, 2, 2, 2], [7, 2, 2, 2, 1, 1], [7, 2, 2, 1, 1, 1, 1], [7, 2, 1, 1, 1, 1, 1, 1], [7, 1, 1, 1, 1, 1, 1, 1, 1], [6, 6, 3], [6, 6, 2, 1], [6, 6, 1, 1, 1], [6, 5, 4], [6, 5, 3, 1], [6, 5, 2, 2], [6, 5, 2, 1, 1], [6, 5, 1, 1, 1, 1], [6, 4, 4, 1], [6, 4, 3, 2], [6, 4, 3, 1, 1], [6, 4, 2, 2, 1], [6, 4, 2, 1, 1, 1], [6, 4, 1, 1, 1, 1, 1], [6, 3, 3, 3], [6, 3, 3, 2, 1], [6, 3, 3, 1, 1, 1], [6, 3, 2, 2, 2], [6, 3, 2, 2, 1, 1], [6, 3, 2, 1, 1, 1, 1], [6, 3, 1, 1, 1, 1, 1, 1], [6, 2, 2, 2, 2, 1], [6, 2, 2, 2, 1, 1, 1], [6, 2, 2, 1, 1, 1, 1, 1], [6, 2, 1, 1, 1, 1, 1, 1, 1], [6, 1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 5, 5], [5, 5, 4, 1], [5, 5, 3, 2], [5, 5, 3, 1, 1], [5, 5, 2, 2, 1], [5, 5, 2, 1, 1, 1], [5, 5, 1, 1, 1, 1, 1], [5, 4, 4, 2], [5, 4, 4, 1, 1], [5, 4, 3, 3], [5, 4, 3, 2, 1], [5, 4, 3, 1, 1, 1], [5, 4, 2, 2, 2], [5, 4, 2, 2, 1, 1], [5, 4, 2, 1, 1, 1, 1], [5, 4, 1, 1, 1, 1, 1, 1], [5, 3, 3, 3, 1], [5, 3, 3, 2, 2], [5, 3, 3, 2, 1, 1], [5, 3, 3, 1, 1, 1, 1], [5, 3, 2, 2, 2, 1], [5, 3, 2, 2, 1, 1, 1], [5, 3, 2, 1, 1, 1, 1, 1], [5, 3, 1, 1, 1, 1, 1, 1, 1], [5, 2, 2, 2, 2, 2], [5, 2, 2, 2, 2, 1, 1], [5, 2, 2, 2, 1, 1, 1, 1], [5, 2, 2, 1, 1, 1, 1, 1, 1], [5, 2, 1, 1, 1, 1, 1, 1, 1, 1], [5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [4, 4, 4, 3], [4, 4, 4, 2, 1], [4, 4, 4, 1, 1, 1], [4, 4, 3, 3, 1], [4, 4, 3, 2, 2], [4, 4, 3, 2, 1, 1], [4, 4, 3, 1, 1, 1, 1], [4, 4, 2, 2, 2, 1], [4, 4, 2, 2, 1, 1, 1], [4, 4, 2, 1, 1, 1, 1, 1], [4, 4, 1, 1, 1, 1, 1, 1, 1], [4, 3, 3, 3, 2], [4, 3, 3, 3, 1, 1], [4, 3, 3, 2, 2, 1], [4, 3, 3, 2, 1, 1, 1], [4, 3, 3, 1, 1, 1, 1, 1], [4, 3, 2, 2, 2, 2], [4, 3, 2, 2, 2, 1, 1], [4, 3, 2, 2, 1, 1, 1, 1], [4, 3, 2, 1, 1, 1, 1, 1, 1], [4, 3, 1, 1, 1, 1, 1, 1, 1, 1], [4, 2, 2, 2, 2, 2, 1], [4, 2, 2, 2, 2, 1, 1, 1], [4, 2, 2, 2, 1, 1, 1, 1, 1], [4, 2, 2, 1, 1, 1, 1, 1, 1, 1], [4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1], [4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 3, 3, 3, 3], [3, 3, 3, 3, 2, 1], [3, 3, 3, 3, 1, 1, 1], [3, 3, 3, 2, 2, 2], [3, 3, 3, 2, 2, 1, 1], [3, 3, 3, 2, 1, 1, 1, 1], [3, 3, 3, 1, 1, 1, 1, 1, 1], [3, 3, 2, 2, 2, 2, 1], [3, 3, 2, 2, 2, 1, 1, 1], [3, 3, 2, 2, 1, 1, 1, 1, 1], [3, 3, 2, 1, 1, 1, 1, 1, 1, 1], [3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 2, 2, 2, 2, 2, 2], [3, 2, 2, 2, 2, 2, 1, 1], [3, 2, 2, 2, 2, 1, 1, 1, 1], [3, 2, 2, 2, 1, 1, 1, 1, 1, 1], [3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1], [3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 2, 2, 1], [2, 2, 2, 2, 2, 2, 1, 1, 1], [2, 2, 2, 2, 2, 1, 1, 1, 1, 1], [2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]], \"passed\": true}, {\"check\": \"explicit oracle 4\", \"actual\": [[]], \"expected\": [[]], \"passed\": true}, {\"check\": \"explicit oracle 5\", \"actual\": [[]], \"expected\": [[]], \"passed\": true}, {\"check\": \"explicit oracle 6\", \"actual\": [[]], \"expected\": [[]], \"passed\": true}, {\"check\": \"explicit oracle 7\", \"actual\": [[]], \"expected\": [[]], \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}