{
  "name": "golomb_n8__v5_h",
  "problem_type": "golomb",
  "params": {
    "n": 8
  },
  "prompt": "Find a Golomb ruler with 8 marks. A Golomb ruler is a set of 8 integers (marks) such that all pairwise distances between marks are unique. The first mark should be at position 0.\n\nReturn a list of 8 integers in increasing order representing the mark positions, or state \"UNSATISFIABLE\" if no solution exists.\n\nPartial assignment (fixed values that must be respected):\n- x[1]=2\nReturn a complete solution consistent with these fixed assignments.",
  "satisfiable": true,
  "solution": {
    "x": [
      0,
      2,
      12,
      19,
      25,
      30,
      33,
      34
    ]
  },
  "difficulty": {
    "solve_time_ms": 2326.3,
    "search_space": 318644812890625,
    "num_variables": 8,
    "num_constraints": 5,
    "num_edges": -1,
    "backend": "pycsp",
    "solve_tier": "hard",
    "solve_pct_global": 92.67,
    "solve_pct_type": 58.33
  },
  "partial_assignment": {
    "x": {
      "1": 2
    }
  }
}