Shortest Path in Binary Matrix (Why BFS?) | DSA Queue Series

#ShortestPathInBinaryMatrix #BFS #DSA

In this video, we solve the Shortest Path in a Binary Matrix problem using only one approach — Breadth First Search (BFS) with a Queue. Since all moves have equal weight, BFS is the most efficient and correct way to find the shortest path in a grid.

I explain the solution step-by-step so you clearly understand:
How to model the binary matrix as a graph
Why BFS guarantees the shortest path
How to use a queue to explore the matrix level by level
How to track distance during traversal
Handling important edge cases like blocked start or end cells

Clean and intuitive BFS implementation
This approach runs in O(n × n) time and is the expected solution in interviews.

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Timelines
00:00 Intro
00:37 Problem Statement
03:57 Approach & Solution
08:24 Pseudo Code
09:39 Moving in 8 Directions Explained
19:50 Time & Space Complexity
20:25 Outro

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▶️ DSA Problems:
https://www.youtube.com/playlist?list=PL4of1palJ6mz0B9KYBqTgCVoPQZjo09nB
▶️ Queue:
https://www.youtube.com/playlist?list=PL4of1palJ6mw6sQUbmI5GbbJP5Li8dzs5
▶️ Stack:
https://www.youtube.com/playlist?list=PL4of1palJ6mx4SBU23vl6-XD1qJ1LiCeg
▶️ Linked List:
https://www.youtube.com/playlist?list=PL4of1palJ6mxQ6JfmpgSAHk5587uW-6gJ
▶️ Binary Search:
https://www.youtube.com/playlist?list=PL4of1palJ6mz7KtZXZmFkYrbGr6W4NfO2
▶️ Recursion:
https://www.youtube.com/playlist?list=PL4of1palJ6mzU09AQ4gsLaxRUk7y_TnN2
▶️ Hashing:
https://www.youtube.com/playlist?list=PL4of1palJ6mz2wl5zyM0ejC7TJ5XZ1jc-
▶️ Bit Manipulation:
https://www.youtube.com/playlist?list=PL4of1palJ6mxTFdHNr4C6dDPoAzoTgLj
▶️ Two Pointer Technique:
https://www.youtube.com/playlist?list=PL4of1palJ6myu4hsLtA2OaklXewaFmCG5
▶️ Arrays:
https://www.youtube.com/playlist?list=PL4of1palJ6mxnRW2shnnTUrAXGiijYY2h
▶️ Sorting:
https://www.youtube.com/playlist?list=PL4of1palJ6mxS2uhlO0I9NvjWQ26KkgqB

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Видео Shortest Path in Binary Matrix (Why BFS?) | DSA Queue Series канала AlgoXploration