n queens

(classic problem)

Definition: Place n chess queens on an n × n board such that no queen can attack another. Efficiently find all possible placements.

See also 8 queens.

Note: A backtracking algorithm may be efficient enough for small values of n.

Author: PEB


Barzan "Tony" Antal's backtracking (or depth-first) solution (C++), which has an explanation.
Go to the Dictionary of Algorithms and Data Structures home page.

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Entry modified 22 April 2019.
HTML page formatted Mon Apr 22 12:17:39 2019.

Cite this as:
Paul E. Black, "n queens", in Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed. 22 April 2019. (accessed TODAY) Available from: