diff options
| -rwxr-xr-x | challenge-062/sangeet-kar/python/ch-2.py | 27 |
1 files changed, 27 insertions, 0 deletions
diff --git a/challenge-062/sangeet-kar/python/ch-2.py b/challenge-062/sangeet-kar/python/ch-2.py new file mode 100755 index 0000000000..e243087412 --- /dev/null +++ b/challenge-062/sangeet-kar/python/ch-2.py @@ -0,0 +1,27 @@ +#!/usr/bin/env python + +import sys + +def n_queens_3d (n = 2): + solutions = [] + place_queen ([(i, j, k) for i in range(n) for j in range(n) for k in range(n)], [], solutions) + return indices_to_array(max(solutions, key=len), n); + +def place_queen (indices, queens, solutions): + if not indices: solutions.append(queens) + for pos in indices: + place_queen ([index for index in indices if is_available(pos, index)], [*queens, pos], solutions) + +def is_available(ref, pos): + diff = {abs(i - j) for i, j in zip (ref, pos)} + return not ( len(diff) < 2 or (len(diff) == 2 and 0 in diff)) + +def indices_to_array (indices, n): + array = [[[0 for _ in range(n)] for _ in range(n)] for _ in range(n)] + for i, j, k in indices: + array[i][j][k] = 1 + return array + +n = int(sys.argv[1]) if len(sys.argv) > 1 else 2 +print(n_queens_3d (n)) + |
