Container With Most Water

Given n non-negative integers a1a2, ..., an, where each represents a point at coordinate (iai). n vertical lines are drawn such that the two endpoints of line i is at (iai) 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.

典型的雙指針應用問題,令low = 0, high = len - 1,然後向中間靠攏,向中間靠攏意味着寬在減少,那爲了使面積更加得大,唯一的可能是找到更高的高度。

class Solution {
public:
    //雙指針
    int maxArea(vector<int>& height) {
        int len = height.size();
        if(len < 2)
            return 0;
        int low = 0, high = len - 1;
        int max = -1;
        while(low < high)
        {
            int tmpArea = (high - low) * min(height[low], height[high]);
            max = (max < tmpArea) ? tmpArea : max;
            if(height[low] <= height[high])
                ++low;
            else
                --high;
        }
        
        return max;
    }
};

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