Maximal Rectangle | Multiple Hidden Problems | Intuition | Leetcode 85 | codestorywithMIK
423iPad PDF Notes - https://github.com/MAZHARMIK/Interview_DS_Algo/blob/master/iPad%20PDF%20Notes/Leetcode-85-Maximal%20Rectangle.pdf
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This is the 16th Video of our Playlist "Stack: Popular Interview Problems".
In this video we will try to solve a very famous monotonic based problem : Maximal Rectangle | Multiple Hidden Problems | Intuition | Leetcode 85 | codestorywithMIK
I will explain the intuition so easily that you will never forget and start seeing this as cakewalk EASYYY.
We will do live coding after explanation and see if we are able to pass all the test cases.
Also, please note that my Github solution link below contains both C++ as well as JAVA code.
Problem Name : Maximal Rectangle | Multiple Hidden Problems | Intuition | Leetcode 85 | codestorywithMIK
Company Tags : Amazon, Directi, Intuit, MakeMyTrip, Microsoft, Samsung
My solutions on Github(C++ & JAVA) : https://github.com/MAZHARMIK/Interview_DS_Algo/blob/master/Stack/Maximal%20Rectangle.cpp
Leetcode Link : https://leetcode.com/problems/maximal-rectangle
Similar Problem : https://leetcode.com/problems/largest-rectangle-in-histogram/
My DP Concepts Playlist : https://youtu.be/7eLMOE1jnls
My Graph Concepts Playlist : https://youtu.be/5JGiZnr6B5w
My Recursion Concepts Playlist : https://www.youtube.com/watch?v=pfb1Zduesi8&list=PLpIkg8OmuX-IBcXsfITH5ql0Lqci1MYPM
My GitHub Repo for interview preparation : https://github.com/MAZHARMIK/Interview_DS_Algo
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Summary :
This solution implements the maximal rectangle problem using the concept of the Largest Rectangle in Histogram. Here's a summary of the approach:
1. **NSR (Next Smaller to Right) and NSL (Next Smaller to Left) Functions**: These functions find the index of the next smaller element to the right and left of each element in the input array. They utilize a stack to efficiently find these indices.
2. **MAH (Maximum Area Histogram) Function**: This function calculates the maximum area of a histogram using the NSR and NSL functions. It computes the width of each bar in the histogram and multiplies it by the corresponding height to get the area. Finally, it finds the maximum area among all histograms.
3. **maximalRectangle Function**: This function takes a matrix of characters representing a binary matrix (0s and 1s) where '1' represents land and '0' represents water. It initializes a height array based on the first row of the matrix. Then, for each subsequent row, it updates the height array based on the current row and calculates the maximum area histogram using the MAH function. It iterates through all rows to find the maximum area of the rectangle.
Overall, the solution efficiently computes the maximal rectangle area in a binary matrix by treating each row as the base of a histogram and finding the maximum area histogram.
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✨ Timelines✨
00:00 - Introduction
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