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"name": "low_autocorrelation_n10__v9_h",
"problem_type": "low_autocorrelation",
"params": {
"n": 10
},
"prompt": "Find a binary sequence of length 10 over the alphabet {-1, +1} with low aperiodic autocorrelation: specifically, the sum over k=1..9 of C_k^2, where C_k = sum_{i=0}^{n-k-1} seq[i]*seq[i+k], must be at most 20.\n\nReturn seq as a list of 10 integers, each -1 or +1, or state \"UNSATISFIABLE\" if no such sequence exists.\n\nPartial assignment (fixed values that must be respected):\n- seq[0]=-1, seq[8]=1\n- c[6]=-1\nReturn a complete solution consistent with these fixed assignments.",
"satisfiable": true,
"solution": {
"seq": [
-1,
-1,
1,
1,
-1,
1,
-1,
1,
1,
1
],
"c": [
-1,
0,
-1,
0,
1,
2,
-1,
-2,
-1
]
},
"difficulty": {
"solve_time_ms": 1343.9,
"search_space": 1024,
"num_variables": 19,
"num_constraints": 16,
"num_edges": -1,
"backend": "pycsp",
"solve_tier": "hard",
"solve_pct_global": 83.27,
"solve_pct_type": 20.83
},
"partial_assignment": {
"seq": {
"0": -1,
"8": 1
},
"c": {
"6": -1
}
}
}
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