LeetCode——011 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.

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:

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

Solution

水桶原理，即水桶的容量取决于最短的那块木板。
左右不停的寻找最高边缘即可。

class Solution {
public:
    int maxArea(vector<int>& height) {
        int i = 0, j = height.size() - 1, maxV = 0;
        while (i < j)
        {
            maxV = max(maxV, min(height[i], height[j]) * (j - i));
            if (height[i] < height[j]) ++i;
            else --j;
        }
        return maxV;
    }
};