MathConstraint-Easy / instances /langford_n6__v8.json
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{
"name": "langford_n6__v8",
"problem_type": "langford",
"params": {
"n": 6
},
"prompt": "Construct a Langford sequence L(2,6): a sequence of length 12 containing exactly 2 copies of each integer from 1 to 6, such that the two occurrences of each value v are exactly v+1 positions apart (so copies of 1 are 1 position apart, copies of 2 are 2 positions apart, etc.). Example: L(2,3) has solution [2, 3, 1, 2, 1, 3].\n\nReturn seq as a list of 12 integers in 1..6, or state \"UNSATISFIABLE\" if no such sequence exists.",
"satisfiable": false,
"solution": null,
"difficulty": {
"solve_time_ms": 1434.5,
"search_space": 479001600,
"num_variables": 12,
"num_constraints": 83,
"num_edges": -1,
"backend": "pycsp",
"solve_tier": "hard",
"solve_pct_global": 85.53,
"solve_pct_type": 18.75
},
"partial_assignment": null
}