{
  "name": "all_interval_n10__v5_h",
  "problem_type": "all_interval",
  "params": {
    "n": 10
  },
  "prompt": "Find an all-interval series of size 10. This is a permutation of 0 to 9 such that the absolute differences between consecutive elements are also a permutation of 1 to 9.\n\nReturn a list of 10 integers forming a valid permutation, or state \"UNSATISFIABLE\" if no solution exists.\n\nPartial assignment (fixed values that must be respected):\n- x[0]=0, x[3]=8\n- d[1]=8\nReturn a complete solution consistent with these fixed assignments.",
  "satisfiable": true,
  "solution": {
    "x": [
      0,
      9,
      1,
      8,
      2,
      7,
      3,
      6,
      4,
      5
    ],
    "d": [
      9,
      8,
      7,
      6,
      5,
      4,
      3,
      2,
      1
    ]
  },
  "difficulty": {
    "solve_time_ms": 1020.9,
    "search_space": 3628800,
    "num_variables": 19,
    "num_constraints": 13,
    "num_edges": -1,
    "backend": "pycsp",
    "solve_tier": "hard",
    "solve_pct_global": 71.99,
    "solve_pct_type": 79.17
  },
  "partial_assignment": {
    "x": {
      "0": 0,
      "3": 8
    },
    "d": {
      "1": 8
    }
  }
}