{
  "name": "all_interval_n9__v4_nh",
  "problem_type": "all_interval",
  "params": {
    "n": 9
  },
  "prompt": "Find an all-interval series of size 9. This is a permutation of 0 to 8 such that the absolute differences between consecutive elements are also a permutation of 1 to 8.\n\nReturn a list of 9 integers forming a valid permutation, or state \"UNSATISFIABLE\" if no solution exists.",
  "satisfiable": true,
  "solution": {
    "x": [
      0,
      8,
      1,
      7,
      2,
      6,
      3,
      5,
      4
    ],
    "d": [
      8,
      7,
      6,
      5,
      4,
      3,
      2,
      1
    ]
  },
  "difficulty": {
    "solve_time_ms": 1016.2,
    "search_space": 362880,
    "num_variables": 17,
    "num_constraints": 12,
    "num_edges": -1,
    "backend": "pycsp",
    "solve_tier": "hard",
    "solve_pct_global": 71.24,
    "solve_pct_type": 62.5
  },
  "partial_assignment": null
}