Find the largest rectangular area possible in a given histogram where the largest rectangle can be made of a number of contiguous bars. For simplicity, assume that all bars have the same width and the width is 1 unit.
Example 1:
Input:
N = 7
arr[] = {6,2,5,4,5,1,6}
Output: 12
Example 2:
Input:
N = 8
arr[] = {7 2 8 9 1 3 6 5}
Output: 16
Explanation: Maximum size of the histogram
will be 8 and there will be 2 consecutive
histogram. And hence the area of the
histogram will be 8x2 = 16.
Your Task:
The task is to complete the function getMaxArea() which takes the array arr[] and its size N as inputs and finds the largest rectangular area possible and returns the answer.
Expected Time Complxity : O(N)
Expected Auxilliary Space : O(N)
Constraints:
1 <= N <= 106
1 <= arr[i] <= 1012