Day 49
Day 49: N-Queens Problem
49/60 Days
Day 49: N-Queens Problem #
Welcome to Day 49 of our 60 Days of Coding Algorithm Challenge! Today, we’ll dive deep into the N-Queens Problem, a classic example of backtracking algorithms.
What is the N-Queens Problem? #
The N-Queens Problem is the challenge of placing N chess queens on an N×N chessboard so that no two queens threaten each other. Thus, a solution requires that no two queens share the same row, column, or diagonal.
Understanding the Problem #
- We have an N×N chessboard.
- We need to place N queens on this board.
- No two queens should be able to attack each other.
- A queen can attack any piece in its row, column, or diagonals.
Backtracking Approach #
We’ll use a backtracking approach to solve this problem:
- Start in the leftmost column.
- If all queens are placed, return true.
- Try all rows in the current column:
- If the queen can be placed safely, mark this as part of the solution.
- Recursively check if placing the queen here leads to a solution.
- If placing the queen leads to a solution, return true.
- If placing the queen doesn’t lead to a solution, unmark this and try the next row.
- If all rows have been tried and nothing …
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