LeetCode-Container With Most Water

Posted 2020-06-27 IncredibleThings

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.

 

合理性解释：当左端线段L小于右端线段R时，我们把L右移，这时舍弃的是L与右端其他线段（R-1, R-2, ...）组成的木桶，这些木桶是没必要判断的，因为这些木桶的容积肯定都没有L和R组成的木桶容积大。

 

public class Solution {
    public int maxArea(int[] height) {
        int len=height.length;
        if(len<2){
            return 0;
        }
        int area=0;
        int l=0;
        int r=len-1;
        while(l<r){
            if(height[l]<height[r]){
                int v=(r-l)*height[l];
                if(v>area){
                    area=v;
                }
                l++;
            }
            else{
                int v=(r-l)*height[r];
                if(v>area){
                    area=v;
                }
                r--;
            }
        }
        return area;
    }
}