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Container With Most Water问题及解法

2019-11-06 08:03:22
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问题描述:

Given n non-negative integers a1a2, ..., an, where each rePResents a point at coordinate (iai). n vertical lines are drawn such that the two endpoints of line i is at (iai) and (i, 0). Find two lines, which together with x-axis forms a container, such that the container contains the most water.

注意:

You may not slant the container and n is at least 2.

问题分析:

假设从头到尾最大宽度的容器A包含最多的水,若要想找到比它装水还多的容器B,则该容器B的高度肯定要比A的高度要高。

详细过程可见代码:

class Solution {public:    int maxArea(vector<int>& height) {        int water = 0;        int i = 0, j = height.size() - 1;        while(i < j)        {        	int h = min(height[i], height[j]);        	water = max(water, (j - i) * h);        	while(height[i] <= h && i < j) i++;        	while(height[j] <= h && i < j) j--;		}		return water;    }};代码还是比较容易理解的~~


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