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11. Container With Most Water (JAVA)

时间:2019-04-25 15:31:44      阅读:114      评论:0      收藏:0      [点我收藏+]

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.

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

Example:

Input: [1,8,6,2,5,4,8,3,7]
Output: 49

class Solution {
    public int maxArea(int[] height) {
        return calMax(height, 0, height.length-1, 0);
    }
    
    public int calMax(int[] height, int left, int right, int max){
        if(left >= right) return max;

        if(height[left] > height[right]){
            int area = (right-left) * height[right];
            return calMax(height, left, right-1, Math.max(area,max));
        }
        else{
            int area = (right-left) * height[left];
            return calMax(height, left+1, right, Math.max(area,max));
        }
    }
}

解题思路:两个指针分别指向左右两个位置,保留高的那个,矮的那个往中间移动。(Greedy:总是寻找高的柱子)

11. Container With Most Water (JAVA)

原文:https://www.cnblogs.com/qionglouyuyu/p/10766321.html

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