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[*leetcode 42] Trapping Rain Water

时间:2015-04-15 16:50:03      阅读:117      评论:0      收藏:0      [点我收藏+]

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Given n non-negative integers representing an elevation map where the width of each bar is 1, compute how much water it is able to trap after raining.

For example, 
Given [0,1,0,2,1,0,1,3,2,1,2,1], return 6.

技术分享

The above elevation map is represented by array [0,1,0,2,1,0,1,3,2,1,2,1]. In this case, 6 units of rain water (blue section) are being trapped. Thanks Marcos for contributing this image!

[Solution]

由两边向中间搜索,

如下面的分析图,会比较直观:

技术分享

这里计算面积不用一般几何书的方法,这里是两边往中间遍历,记录当前第二高点secHight,然后利用这个第二高点减去当前历经的柱子,剩下就装水容量了。

为什么是第二高点?因为两边比较,最高的点不用动,只移动第二高点。

参考:http://www.xuebuyuan.com/1586534.html

 1 int trap(vector<int>& height) 
 2     {
 3         int left = 0, right = height.size() - 1, sechight = 0;
 4         int area = 0;
 5         while (left < right)
 6         {
 7             if (height[left] < height[right])
 8             {
 9                 sechight = max(height[left], sechight);
10                 area += sechight-height[left];  
11                 left++;
12             } 
13             else 
14             {
15                 sechight = max(height[right], sechight);
16                 area += sechight - height[right];
17                 right--;
18             }
19         }
20         return area;
21     }

 

[*leetcode 42] Trapping Rain Water

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原文地址:http://www.cnblogs.com/ym65536/p/4428815.html

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