Backtracking AlgorithmsIntermediate

N-Queens Problem

Place N chess queens on an N×N chessboard so no two queens threaten each other. A classic backtracking algorithm.

#backtracking#constraint-satisfaction#recursion#chess

Complexity Analysis

Time (Average)

O(N!)

Expected case performance

Space

O(N)

Memory requirements

Time (Best)

O(N!)

Best case performance

Time (Worst)

O(N!)

Worst case performance

How it works

  • • Place N queens on N×N chessboard
  • • No two queens can attack each other
  • • Uses backtracking algorithm
  • • O(N!) time complexity
  • • Classic constraint satisfaction problem
Step: 1 / 0
500ms
SlowFast
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Real-time Statistics

Algorithm Performance Metrics

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Algorithm Visualization

Step 1 of 0

Initialize array to begin

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Code Execution

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Implementation

N-Queens Problem - Algorithm Vision