{
  "name": "all_interval_n13__v6_nh",
  "problem_type": "all_interval",
  "params": {
    "n": 13
  },
  "prompt": "Find an all-interval series of size 13. This is a permutation of 0 to 12 such that the absolute differences between consecutive elements are also a permutation of 1 to 12.\n\nReturn a list of 13 integers forming a valid permutation, or state \"UNSATISFIABLE\" if no solution exists.",
  "satisfiable": true,
  "solution": {
    "x": [
      0,
      12,
      1,
      11,
      2,
      10,
      3,
      9,
      4,
      8,
      5,
      7,
      6
    ],
    "d": [
      12,
      11,
      10,
      9,
      8,
      7,
      6,
      5,
      4,
      3,
      2,
      1
    ]
  },
  "difficulty": {
    "solve_time_ms": 969.3,
    "search_space": 6227020800,
    "num_variables": 25,
    "num_constraints": 16,
    "num_edges": -1,
    "backend": "pycsp",
    "solve_tier": "medium",
    "solve_pct_global": 66.35,
    "solve_pct_type": 29.17
  },
  "partial_assignment": null
}