{
  "name": "all_interval_n12__v9_nh",
  "problem_type": "all_interval",
  "params": {
    "n": 12
  },
  "prompt": "Find an all-interval series of size 12. This is a permutation of 0 to 11 such that the absolute differences between consecutive elements are also a permutation of 1 to 11.\n\nReturn a list of 12 integers forming a valid permutation, or state \"UNSATISFIABLE\" if no solution exists.",
  "satisfiable": true,
  "solution": {
    "x": [
      0,
      11,
      1,
      10,
      2,
      9,
      3,
      8,
      4,
      7,
      5,
      6
    ],
    "d": [
      11,
      10,
      9,
      8,
      7,
      6,
      5,
      4,
      3,
      2,
      1
    ]
  },
  "difficulty": {
    "solve_time_ms": 997.3,
    "search_space": 479001600,
    "num_variables": 23,
    "num_constraints": 15,
    "num_edges": -1,
    "backend": "pycsp",
    "solve_tier": "hard",
    "solve_pct_global": 70.11,
    "solve_pct_type": 54.17
  },
  "partial_assignment": null
}