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Eight Queens

Run on Repl.it

Table of Contents

Overview

The eight queens puzzle is the problem of placing eight chess queens on an 8×8 chessboard so that no two queens threaten each other; thus, a solution requires that no two queens share the same row, column, or diagonal [1].

Pseudocode

function MIN-CONFLICTS(max_steps) returns a solution or failure
 for i = 1 to max_steps do
   if current is a solution, then return current as solution
   conflict-queen ← a randomly chosen conflicted queen.
   min-column ← the column that minimizes the conflicts and is different from the column the queen is currently.
   move conflict-queen to the min-column.
 return failure

Sample Input

The starting board...
Q |   |   |   |   |   |   |  
------------------------------
  |   |   |   |   |   | Q |  
------------------------------
  |   |   |   |   |   | Q |  
------------------------------
  |   |   |   |   |   | Q |  
------------------------------
  |   |   | Q |   |   |   |  
------------------------------
  |   |   |   |   |   |   | Q
------------------------------
Q |   |   |   |   |   |   |  
------------------------------
  |   |   |   |   | Q |   |  
The solved board...

  | Q |   |   |   |   |   |  
------------------------------
  |   |   |   |   |   |   | Q
------------------------------
  |   |   |   |   | Q |   |  
------------------------------
Q |   |   |   |   |   |   |  
------------------------------
  |   | Q |   |   |   |   |  
------------------------------
  |   |   |   | Q |   |   |  
------------------------------
  |   |   |   |   |   | Q |  
------------------------------
  |   |   | Q |   |   |   |

Remote Setup

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Run on Repl.it

Once, it has opened, all you need do is select run!

References

[1] “Eight queens puzzle,” Wikipedia. Oct. 18, 2021. [Online]. Available: https://en.wikipedia.org/w/index.php?title=Eight_queens_puzzle&oldid=1050602922