32. Backtracking, N queens - Part B
The chapter explores the N-Queens problem, detailing how to effectively represent and solve this problem using a backtracking algorithm. It highlights the need for efficient use of space in tracking attacked squares and demonstrates strategies for determining safe positions for queens on a chessboard. The implementation in Python showcases the use of dictionaries for a more compact and efficient representation of board states and queen placements.
Sections
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What we have learnt
- The N-Queens problem involves placing N queens on an N x N chessboard such that no two queens threaten each other.
- Efficient representation of the chessboard and tracking of attacked squares can reduce space complexity from O(N^2) to O(N).
- Backtracking is a key algorithmic strategy used to systematically search for solutions by exploring all possible configurations.
Key Concepts
- -- NQueens Problem
- A combinatorial problem that involves placing N queens on an N x N chessboard so that no two queens can attack each other.
- -- Backtracking
- An algorithmic technique for solving problems incrementally, by trying partial solutions and removing them if they fail to meet the conditions.
- -- Space Complexity
- A measure of the amount of working storage an algorithm needs.
Additional Learning Materials
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