(Leetcode)11. Container With Most Water

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题目:

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.

题意:

找到条纵线然后这两条线以及X轴构成的容器能容纳最多的水。

思路:
面积,它受长和高的影响,当长度减小时候,高必须增长才有可能提升面积,所以我们从长度最长时开始递减,然后寻找更高的线来更新候补;

public int maxArea(int[] height) {        int left = 0;        int right = height.length-1;        int area = 0 ;        while(left<right){            area = Math.max(area, Math.min(height[left], height[right])*(right-left));            if(height[left]<height[right]){                left ++;            }            else{                right --;            }        }        return area;    }
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