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Largest Rectangle in Histogram

时间:2016-10-04 01:33:54      阅读:136      评论:0      收藏:0      [点我收藏+]

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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.

技术分享

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

 

技术分享

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

 

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

class Solution {
public:
    int largestRectangleArea(vector<int>& heights) {
        stack<int> s;
        int res = 0;
        heights.push_back(0);
        for(int i=0;i<heights.size();){
            if(s.empty() || heights[i] > heights[s.top()]){
                s.push(i++);
            }else{
                int tmp = s.top();
                s.pop();
                if(s.empty()){
                    res = max(res,heights[tmp]*i);
                }else{
                    res = max(res,heights[tmp]*(i-s.top()-1));
                }
            }
        }
        return res;
    }
};

 

Largest Rectangle in Histogram

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原文地址:http://www.cnblogs.com/wxquare/p/5929822.html

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