N-Queens Problem

In this video, we will explore different approaches to solve the N-Queens problem and find all distinct solutions. We begin by discussing a naive approach that generates all possible permutations of queen placements using recursion and checks for conflicts. This method takes O(n!*n) time and O(n) space. Additionally, we delve into an expected approach using backtracking with pruning to optimize the solution by incrementally building the configuration and pruning conflicts early. This approach reduces unnecessary calculations and operates in O(n!) time and O(n) space.

Furthermore, the video explains an alternate approach using bit-masking to efficiently track occupied rows and diagonals during the backtracking process. Bit-masking allows for fast bitwise operations to manage the board's state, making it particularly efficient for larger values of n. This method also runs in O(n!) time and O(n) space. Watch the video to understand these methods in detail and how they help in solving the N-Queens problem optimally with different techniques.

For more details, please go through - Printing all solutions in N-Queen Problem