Container with most water

Posted 2021-03-25 wakingshaw

Given n non-negative integers a1, a2, ..., an , where each represents a point at coordinate (i, ai). n vertical lines are drawn such that the two endpoints of line i is at (i, ai) and (i, 0). Find two lines, which together with x-axis forms a container, such that the container contains the most water.

来源：力扣（LeetCode）
链接：https://leetcode-cn.com/problems/container-with-most-water
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这道题其实可以直接用暴力解法求出答案。在高度未知的情况下，暂且可认为宽度越大，面积越大，所以可设左右两个指针，不断缩进，不断求出答案并比较，直到求出最优解

代码如下：

class Solution {
    public int maxArea(int[] height) {
        int length = height.length;
        int result = 0;
        int temp = 0;
        for(int i = 0; i < length - 1; i++)
        {
            for(int j = length - 1; j > i; j--)
            {
                if(height[i] > height[j])
                {
                    temp = height[j] * (j - i);
                    if(temp > result)
                    {
                        result = temp;
                    }
                }
                else
                {
                    temp = height[i] * (j - i);
                    if(temp > result)
                    {
                        result = temp;
                    }
                }
            }
        }
        return result;
    }
}