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;
    }
};
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