Blogs Hub

by AskGif | Oct 18, 2020 | Category :coding | Tags : algorithm array data-structure leetcode medium

Container With Most Water - Array - Medium - LeetCode

Container With Most Water - Array - Medium - LeetCode

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 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:

2 <= height.length <= 3 * 104
0 <= height[i] <= 3 * 104

public class Solution {
    public int MaxArea(int[] height) {
        
        int max = 0;
        int i=0;
        int j = height.Length-1;
        while(i<j){
            max = Math.Max(max, Math.Min(height[i],height[j])*(j-i));
            if(height[i]<height[j]){
                i++;
            }
            else{
                j--;
            }
        }
        
        return max;
    }
}

Time Complexity: O(n)

Space Complexity: O(1)