File size: 1,044 Bytes
a9e7957 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 | {
"name": "costas_array_n5__v3_h",
"problem_type": "costas_array",
"params": {
"n": 5
},
"prompt": "Find a Costas array of order 5: place 5 marks on an 5x5 grid, one per row and one per column, such that all 5*(4)/2 displacement vectors (dr, dc) between pairs of marks (with dc > 0) are pairwise distinct.\n\nReturn x as a list of 5 integers in 0..4, where x[c] is the row of the mark in column c (permutation), or state \"UNSATISFIABLE\" if no such array exists.\n\nPartial assignment (fixed values that must be respected):\n- x[2]=3\nReturn a complete solution consistent with these fixed assignments.",
"satisfiable": true,
"solution": {
"x": [
0,
2,
3,
1,
4
]
},
"difficulty": {
"solve_time_ms": 842.2,
"search_space": 120,
"num_variables": 5,
"num_constraints": 6,
"num_edges": -1,
"backend": "pycsp",
"solve_tier": "medium",
"solve_pct_global": 55.45,
"solve_pct_type": 5.56
},
"partial_assignment": {
"x": {
"2": 3
}
}
}
|