MathConstraint-Easy / instances /golomb_n8__v5_h.json
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{
"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
}
}
}