Indipendent Queens
INDEPENDET QUEENS PROBLEMS
There are 4,426,165,368 possible ways to place 8 Queens on an 8×8 board.
Only 92 of those are positions where all 8 Queens are independent.
|
Board size |
Number of Queens | Number of total independent Queen positions |
| 1 x 1 | 1 | 1 |
| 2 x 2 | 2 | 0 |
| 3 x 3 | 3 | 0 |
| 4 x 4 | 4 | 2 |
| 5 x 5 | 5 | 10 |
| 6 x 6 | 6 | 4 |
| 7 x 7 | 7 | 40 |
| 8 x 8 | 8 | 92 |
| 9 x 9 | 9 | 352 |
| 10 x 10 | 10 | 724 |
| 11 x 11 | 11 | 2,680 |
| 12 x 12 | 12 | 14,200 |
| 13 x 13 | 13 | 73,712 |
| 14 x 14 | 14 | 365,596 |
| 15 x 15 | 15 | 2,279,184 |
| 16 x 16 | 16 | 14,772,512 |
| 17 x 17 | 17 | 95,815,104 |
| 18 x 18 | 18 | 666,090,624 |
| 19 x 19 | 19 | 4,968,057,848 |
| 20 x 20 | 20 | 39,029,188,884 |
| 21 x 21 | 21 | 314,666,222,712 |
| 22 x 22 | 22 | 2,691,008,701,644 |
| 23 x 23 | 23 | 24,233,937,684,440 |
| 24 x 24 | 24 | 227,514,171,973,736 |
| 25 x 25 | 25 | 2,207,893,435,808,352 |
| 26 x 26 | 26 | 22,317,699,616,364,044 |
| 27 x 27 | 27 | 234,907,967,154,122,528 |
PUZZLE EXAMPLES:
1. Place 5 independent Queens in a 5 x 5 chessboard.
2. Place 12 independent Queens in a 12 x 12 chessboard.
Solutions:
To continue experimenting with more puzzles, feel free to visit:
