{
  "name": "all_interval_n14__v1_h",
  "problem_type": "all_interval",
  "params": {
    "n": 14
  },
  "prompt": "Find an all-interval series of size 14. This is a permutation of 0 to 13 such that the absolute differences between consecutive elements are also a permutation of 1 to 13.\n\nReturn a list of 14 integers forming a valid permutation, or state \"UNSATISFIABLE\" if no solution exists.\n\nPartial assignment (fixed values that must be respected):\n- x[6]=3, x[12]=6\n- d[3]=10, d[11]=2\nReturn a complete solution consistent with these fixed assignments.",
  "satisfiable": true,
  "solution": {
    "x": [
      0,
      13,
      1,
      12,
      2,
      11,
      3,
      10,
      4,
      9,
      5,
      8,
      6,
      7
    ],
    "d": [
      13,
      12,
      11,
      10,
      9,
      8,
      7,
      6,
      5,
      4,
      3,
      2,
      1
    ]
  },
  "difficulty": {
    "solve_time_ms": 993.6,
    "search_space": 87178291200,
    "num_variables": 27,
    "num_constraints": 17,
    "num_edges": -1,
    "backend": "pycsp",
    "solve_tier": "hard",
    "solve_pct_global": 69.74,
    "solve_pct_type": 45.83
  },
  "partial_assignment": {
    "x": {
      "6": 3,
      "12": 6
    },
    "d": {
      "3": 10,
      "11": 2
    }
  }
}