{
  "name": "all_interval_n11__v8_nh",
  "problem_type": "all_interval",
  "params": {
    "n": 11
  },
  "prompt": "Find an all-interval series of size 11. This is a permutation of 0 to 10 such that the absolute differences between consecutive elements are also a permutation of 1 to 10.\n\nReturn a list of 11 integers forming a valid permutation, or state \"UNSATISFIABLE\" if no solution exists.",
  "satisfiable": true,
  "solution": {
    "x": [
      0,
      10,
      1,
      9,
      2,
      8,
      3,
      7,
      4,
      6,
      5
    ],
    "d": [
      10,
      9,
      8,
      7,
      6,
      5,
      4,
      3,
      2,
      1
    ]
  },
  "difficulty": {
    "solve_time_ms": 1020.3,
    "search_space": 39916800,
    "num_variables": 21,
    "num_constraints": 14,
    "num_edges": -1,
    "backend": "pycsp",
    "solve_tier": "hard",
    "solve_pct_global": 71.62,
    "solve_pct_type": 70.83
  },
  "partial_assignment": null
}