Solution: N-Queens
Explore how to solve the N-Queens problem using backtracking by placing queens row by row and ensuring no two queens threaten each other. Understand the use of helper arrays to track columns and diagonals, and implement recursive steps to find all valid board configurations. This lesson teaches the foundational approach to backtracking for complex constraint problems.
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Statement
The N-Queens puzzle is a classic problem in which the goal is to place n queens on an n n chessboard so that no two queens can attack each other.
In chess, a queen can move any number of squares horizontally, vertically, or diagonally. Therefore, no two queens can be placed in the same row, column, or diagonal.
Given an integer n, return all distinct valid arrangements of n queens on the board. Each arrangement should be represented as a list of strings, where each string corresponds to a row of the board. Within each string, 'Q' denotes a queen and '.' denotes an empty square.
Note: You can return the solutions in any order.
Constraints:
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