N-Queens Problem Visualizer
Interactive Chess Queen Placement
Solve and visualize the classic N-Queens problem with interactive animations and multiple solutions.
Configuration
About N-Queens
The N-Queens problem is a classic puzzle where you must place N chess queens on an N×N chessboard.
• No two queens can be in the same row
• No two queens can be in the same column
• No two queens can be on the same diagonal
This is an NP-hard problem solved using backtracking
Features
- Interactive board visualization
- Find all solutions
- Animate through solutions
- Adjustable animation speed
- Show attacked cells
- Copy solution positions
- Download all solutions
- Support 1×1 to 12×12 boards
Solution Counts
Algorithm
Places queens row by row
Skips invalid positions early
Explores all valid placements
O(N!) worst case
Applications
- Algorithm design and analysis
- Backtracking technique demonstration
- Constraint satisfaction problems
- Computer science education
- Puzzle solving strategies
- Optimization problems
- Artificial intelligence
- Combinatorial mathematics
History
Notable Facts:
1848: First published by chess player Max Bezzel
1850: Franz Nauck extended to N-Queens
Classic Problem: One of the most studied problems in computer science
27×27: Largest board with all solutions counted (234,907,967,154,122,528)
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