Container With Most Water


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 the line i is at (i, ai) and (i, 0). Find two lines, which, together with the x-axis forms a container, such that the container contains the most water.
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
Example 3:
Input: height = [4,3,2,1,4]
Output: 16
Example 4:
Input: height = [1,2,1]
Output: 2
Constraints:
n == height.length
2 <= n <= 105
0 <= height[i] <= 104
class Solution 
{
public:
    int maxArea(vector<int>& arr_height) 
    {
        
        int result = 0;
        
        int i = 0; 
        int j = arr_height.size() - 1;
        
        while (i < j)
        {
            int width = j - i;
            int height = min(arr_height[i], arr_height[j]);
            
            result = max(result, width * height);
            
            if (arr_height[j] < arr_height[i])
                --j;
            else
                ++i;
                
        }
        
        return result;
    }
};