Largest Rectangle in Histogram

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(vector<int> &height) 
    {
        int max=0;
        int minl[height.size()];
        int minr[height.size()];
        for(int i=0;i<height.size();i++)
        {
            int index=i-1;
            while(index>=0 && height[index]>=height[i]) index=minl[index]-1;
            minl[i]=index+1;
        }
        for(int i=height.size()-1;i>=0;i--)
        {
            //right
            int index=i+1;
            while(index<height.size() && height[index]>=height[i]) index=minr[index]+1;
            minr[i]=index-1;
        }
        for(int i=0;i<height.size();i++)
            if((minr[i]-minl[i]+1)*height[i]>max) 
                max=(minr[i]-minl[i]+1)*height[i];
        return max;
    }
};
posted @ 2014-05-29 16:56  erictanghu  阅读(125)  评论(0编辑  收藏  举报