Leetcode: 11. Container With Most Water

Description

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.

思路

• 使用两个指针，分别指向左右两端，然后从两端往中间移动，记录过程中最大的装水量。
• 每一次移动最小的那个边。

代码

• 时间复杂度：O(n)

class Solution {
public:
    int maxArea(vector<int>& height) {
		int res = 0;
		int len = height.size();
		if (len <= 1) return res;

		int i = 0, j = len - 1;
		while (i < j){
			res = max(res, (j - i) * min(height[i], height[j]));

			if (height[i] < height[j]) ++i;
			else --j;
		}

		return res;
	}
};