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Largest Rectangle In Histogram - Hackerrank
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Largest Rectangle In Histogram - Hackerrank
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//dpw4112001
// Coding Interview Question
/*
Resourse : Youtube Video By Coding Blocks
Other Approaches:
Brute Force : O(N^2)
Divide and Conquer : O(NlogN)
Stacks : O(N)
*/
#include<bits/stdc++.h>
using namespace std;
int getMaxArea(int hist[], int n)
{ stack<int> s;
int max_area = 0;
int tp; // To store top of stack
int area_with_top;
int i = 0;
while (i < n)
{
// If this bar is higher than the bar on top
// stack, push it to stack
if (s.empty() || hist[s.top()] <= hist[i])
s.push(i++);
else
{
tp = s.top(); // store the top index
s.pop(); // pop the top
area_with_top = hist[tp] * (s.empty() ? i :
i - s.top() - 1);
//Finding Maximum Area
if (max_area < area_with_top)
max_area = area_with_top;
}
}
// Calculating area for remaing non-popped bars
while (s.empty() == false)
{
tp = s.top();
s.pop();
area_with_top = hist[tp] * (s.empty() ? i :
i - s.top() - 1);
if (max_area < area_with_top)
max_area = area_with_top;
}
return max_area;
}
int main()
{
int n;
cin >> n;
int hist[n];
for(int i=0;i<n;i++)
cin >> hist[i];
cout << getMaxArea(hist, n);
return 0;
}