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Leetcode Problem 51. N-Queens
51. N-Queens
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Leetcode Solutions
Backtracking Approach for N-Queens Problem
Solution Idea
Algorithm Steps
Code Implementation
Complexity Analysis
Initialize three sets to keep track of the columns, diagonals, and anti-diagonals that are already occupied by queens.
Define a recursive function
backtrack
that takes the current row, the board, and the sets as arguments.
If the current row is equal to
n
, a solution has been found. Convert the board to the required format and add it to the solutions list.
For each column in the current row, calculate the corresponding diagonal and anti-diagonal.
If the column, diagonal, and anti-diagonal are not occupied, place a queen at the current position.
Update the sets to mark the column, diagonal, and anti-diagonal as occupied.
Recursively call
backtrack
for the next row.
If a solution is not found, backtrack by removing the queen and updating the sets accordingly.
Continue this process until all solutions are found.
Iterative Bitwise Solution for N-Queens Problem
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