C++ Program to Find Largest Rectangular Area in a Histogram

This is a C++ Program to find largest Rectangular Area in a Histogram

Algorithmof function getArea():

Begin
   Create an empty stack.
   Initialize the largest_area.
   Do a while loop start from first bar for every bar hist[i], where i = 0 to
      less than n:
   If stack is empty or hist[i] is higher than the bar at top of stack, then
      push ‘i’ to stack.
   Else
      this bar is smaller than the top of stack, then keep removing the
      top of stack while top of the stack is greater. Calculate area of
      rectangle with smallest bar. Element before top in stack is left
      index and i is right index for the top.
   Pop the remaining bars from stack if stack is not empty and calculate
      area with every popped bar as the smallest bar.
End

Example Code

#include<iostream>
#include<stack>
using namespace std;
int getArea(int hist[], int n)
{
   stack<int> st;
   int largest_area = 0;
   int top;
   int toparea;
   int i = 0;
   while (i < n)
   {
      if (st.empty() || hist[st.top()] <= hist[i])
      st.push(i++);
      else
      {
         top = st.top();
         st.pop();
         toparea = hist[top] * (st.empty() ? i :
         i - st.top() - 1);
         if (largest_area < toparea)
         largest_area = toparea;
      }
   }
   while (st.empty() == false)
   {
      top = st.top();
      st.pop();
      toparea = hist[top] * (st.empty() ? i :
      i - st.top() - 1);
      if (largest_area < toparea)
      largest_area = toparea;
   }
   return largest_area;
}
int main()
{
   int hist[] = {6,7,4,5,3,2};
   int n = sizeof(hist)/sizeof(hist[0]);
   cout << "Largest area is " << getArea(hist, n);
   return 0;
}

Output

Largest area is 16

Krantik Chavan

Published on 04-Apr-2019 13:06:03

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