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LeetCode:Largest Rectangle in Histogram

时间:2016-06-16 14:54:18      阅读:138      评论:0      收藏:0      [点我收藏+]

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Largest Rectangle in Histogram




Total Accepted: 61747 Total Submissions: 252559 Difficulty: Hard

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.

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思路:

详细分析,可参考:http://blog.csdn.net/doc_sgl/article/details/11805519


java code:

public class Solution {
    public int largestRectangleArea(int[] heights) {
        
        
        Stack<Integer> index = new Stack<Integer>();
        int len = heights.length;
        int maxArea = 0;
        int i = 0;
        while(i <= len) {
            int h  = (i==len) ? 0 : heights[i];
            if(index.isEmpty() || h >= heights[index.peek()])
                index.push(i++);
            else {
                int tmp = index.pop();
                int wid = index.empty() ? i : i-index.peek()-1;
                maxArea = Math.max(maxArea, heights[tmp] * wid);
            }
        }
        return maxArea;
    }
}


LeetCode:Largest Rectangle in Histogram

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原文地址:http://blog.csdn.net/itismelzp/article/details/51685098

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