{ "name": "all_interval_n6__v7_nh", "problem_type": "all_interval", "params": { "n": 6 }, "prompt": "Find an all-interval series of size 6. This is a permutation of 0 to 5 such that the absolute differences between consecutive elements are also a permutation of 1 to 5.\n\nReturn a list of 6 integers forming a valid permutation, or state \"UNSATISFIABLE\" if no solution exists.", "satisfiable": true, "solution": { "x": [ 0, 5, 1, 4, 2, 3 ], "d": [ 5, 4, 3, 2, 1 ] }, "difficulty": { "solve_time_ms": 1045.9, "search_space": 720, "num_variables": 11, "num_constraints": 9, "num_edges": -1, "backend": "pycsp", "solve_tier": "hard", "solve_pct_global": 75.0, "solve_pct_type": 95.83 }, "partial_assignment": null }