leetcode

Given n non-negative integers representing the histogram's bar height where the width of each bar is 1, find the area of largest rectangle in the histogram.

Above is a histogram where width of each bar is 1, given height = [2,1,5,6,2,3].

The largest rectangle is shown in the shaded area, which has area = 10 unit.

For example,
Given height = [2,1,5,6,2,3],
return 10.

class Solution {
public:
    int largestRectangleArea(std::vector<int> &height) {
        height.push_back(0);
		std::stack<int> s;
		int i = 0;
		int maxArea = 0;
		while (i < height.size())
		{
			if(s.empty() || height[s.top()] <= height[i])
			{
				s.push(i++);
			}
			else
			{
				int t = s.top();
				s.pop();
				maxArea = std::max(maxArea,height[t]*(s.empty() ?
 i : i - s.top() - 1));
			}
		}
		return maxArea;
    }
};