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# Container With Most Water

Updated: Mar 25, 2021

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 <= 3 * 104

• 0 <= height[i] <= 3 * 104

Solution:

Brute Force:

```class Solution {
public int maxArea(int[] height) {
int area=1,result=0;
for(int i=0;i<height.length;i++)
{
for(int j=i+1;j<height.length;j++)
{
area = (j-i) * Math.min(height[j],height[i]);
result = Math.max(result,area);
}
}
return result;
}
}```

Linear:

```class Solution {
public int maxArea(int[] height) {
int area=1,result=0;
int left = 0, right = height.length-1;
while(left<right)
{
area = (right-left) * Math.min(height[left],height[right]);
result = Math.max(area,result);
if(height[left]<height[right])
left++;
else
right--;
}
return result;
}
}```