小白笔记-------------------------------leetcode(11. Container With Most Water )

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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 linei 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.

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


普通思路就是两个for循环全部遍历,但是会超时,这里需要考虑的就是剪枝的问题,那么如何减枝?

很容易想到的方法就是类似与左右子树的减枝,就是用两个游标,左右游标来控制,

那么定义了左右游标之后,如何保证最大的值仍能被遍历到呢?

首先,将值与最大值比较,保存

接着,因为减大值的话没有减枝的作用,所以选择小的一端往里进一格,至此问题就解决了。

class Solution {    public int maxArea(int[] height) {        int maxArea = 0;//初始化一个最大值        int Area = 0;        int minHeight = 0;        int n = height.length;        int left = 0;        int right = n-1;        while(left < right){            minHeight = height[left] <= height[right]?height[left]:height[right];            Area = (right-left) * minHeight;            if(Area > maxArea){                maxArea = Area;            }            if(height[left] < height[right]){                left++;            }else{                right--;            }                    }                                return maxArea;    }}


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