Eight Queens Puzzle - Explicit Solutions

Explicit Solutions

Explicit solutions exist for placing n queens on an n × n board, requiring no combinatorial search whatsoever. The explicit solutions exhibit stair-stepped patterns, as in the following examples for n = 8, 9 and 10:

a b c d e f g h
8 8
7 7
6 6
5 5
4 4
3 3
2 2
1 1
a b c d e f g h
Explicit solution for 8 queens
a b c d e f g h i
9 9
8 8
7 7
6 6
5 5
4 4
3 3
2 2
1 1
a b c d e f g h i
Explicit solution for 9 queens
a b c d e f g h i j
10 10
9 9
8 8
7 7
6 6
5 5
4 4
3 3
2 2
1 1
a b c d e f g h i j
Explicit solution for 10 queens

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