Largest Rectangle in Histogram

Hard Stack: Advanced Applications PRO

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Problem Statement

Write a C program to find the area of the largest rectangle in a histogram using a monotonic stack.

Input Format

First line contains n. Second line contains n bar heights.

Output Format

Print the maximum rectangular area.

Constraints

1 <= n <= 50

Sample Input

6
2 1 5 6 2 3

Sample Output

Explanation

Use a monotonic increasing stack to compute the maximum width for each histogram bar and determine the largest rectangle area.

Starter Code

#include <stdio.h>
#include <stdlib.h>

int main() {
    int n;
    if (scanf("%d", &n) == 1) {
        // Write your code here to find largest rectangle in histogram
    }
    return 0;
}

Limits

Time Limit: 1s
Memory Limit: 256MB

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