instances/all_interval_n2__v0_h.json

{
  "name": "all_interval_n2__v0_h",
  "problem_type": "all_interval",
  "params": {
    "n": 2
  },
  "prompt": "Find an all-interval series of size 2. This is a permutation of 0 to 1 such that the absolute differences between consecutive elements are also a permutation of 1 to 1.\n\nReturn a list of 2 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\n- d[0]=1\nReturn a complete solution consistent with these fixed assignments.",
  "satisfiable": true,
  "solution": {
    "x": [
      0,
      1
    ],
    "d": [
      1
    ]
  },
  "difficulty": {
    "solve_time_ms": 944.5,
    "search_space": 2,
    "num_variables": 3,
    "num_constraints": 2,
    "num_edges": -1,
    "backend": "pycsp",
    "solve_tier": "medium",
    "solve_pct_global": 62.22,
    "solve_pct_type": 4.17
  },
  "partial_assignment": {
    "x": {
      "0": 0
    },
    "d": {
      "0": 1
    }
  }
}