N-Queens Problem using FIFO Branch and Bound | DAA Algorithm Explained
In this video, we dive deep into solving the N-Queens Problem using the FIFO Branch and Bound approach. Using a 4-Queens example on a 4x4 chessboard, we explain how to navigate the state space tree (permutation tree) to find all possible solutions where no two queens attack each other.
What you will learn in this video:
Understanding the constraints of the N-Queens problem.
Representation of the State Space Tree (Permutation Tree).
How the Bounding Function works to prune the search space.
Step-by-step walkthrough of the FIFO Branch and Bound algorithm.
Finding the solution tuples for the 4-Queens problem.
Timestamps:
[00:00] Introduction to N-Queens Problem & Constraints
[00:44] State Space Tree and Solution Space explained
[01:14] Solving the 4-Queens Problem: Initial Steps
[03:06] Expanding Nodes and Applying the Bounding Function
[04:42] Killing Nodes and Pruning the Tree
[18:28] Finding the First Solution: Node 31 [2, 4, 1, 3]
[19:48] Finding the Second Solution: Node 39 [3, 1, 4, 2]
[21:49] Final Solution Tuples and Conclusion
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