LeetCode 11. Container With Most Water (Medium)

题目

 
You are given an integer array height of length n. There are n vertical lines drawn such that the two endpoints of the ith line are (i, 0) and (i, height[i]).

Find two lines that together with the x-axis form a container, such that the container contains the most water.

Return the maximum amount of water a container can store.

Notice that you may not slant the container.

 
Example 1:

Input: height = [1,8,6,2,5,4,8,3,7]
Output: 49
Explanation: The above vertical lines are represented by array [1,8,6,2,5,4,8,3,7]. In this case, the max area of water (blue section) the container can contain is 49.

Example 2:

Input: height = [1,1]
Output: 1

Constraints:

n == height.length
2 <= n <= 105
0 <= height[i] <= 104

 

思路

解法(Java)

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