# 11. Container With Most Water

## Problem Statement

\


You are given an integer array `height` of length `n`. There are `n` vertical lines drawn such that the two endpoints of the `ith` line are `(i, 0)` and `(i, height[i])`.

Find two lines that together with the x-axis form a container, such that the container contains the most water.

Return _the maximum amount of water a container can store_.

**Notice** that you may not slant the container.

&#x20;

**Example 1:**

![](https://s3-lc-upload.s3.amazonaws.com/uploads/2018/07/17/question_11.jpg)

<pre><code><strong>Input: height = [1,8,6,2,5,4,8,3,7]
</strong><strong>Output: 49
</strong><strong>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.
</strong></code></pre>

**Example 2:**

<pre><code><strong>Input: height = [1,1]
</strong><strong>Output: 1
</strong></code></pre>

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**Constraints:**

* `n == height.length`
* `2 <= n <= 105`
* `0 <= height[i] <= 104`

## Intuition

```
Approach:

Start from the edges
And now from there, greedily search for large walls 

Towards inward
```

### Links

[https://leetcode.com/problems/container-with-most-water/description/](https://leetcode.com/problems/container-with-most-water/description/)

### Video Links



### Approach 1:

```
```

{% code title="C++" lineNumbers="true" %}
```cpp
class Solution {
public:
    int maxArea(vector<int>& arr) {
        int low=0, high=arr.size()-1;
        int ans=0;

        while(low<high){
            int area = min(arr[low], arr[high]) * (high-low);
            ans = max(ans, area);

            if(arr[low] > arr[high])
                high--;
            else
                low++;
        }

        return ans;
    }
};
```
{% endcode %}

### Approach 2:

```
```

{% code title="C++" lineNumbers="true" %}
```cpp
```
{% endcode %}

### Approach 3:

```
```

{% code title="C++" lineNumbers="true" %}
```cpp
```
{% endcode %}

### Approach 4:

```
```

{% code title="C++" lineNumbers="true" %}
```cpp
```
{% endcode %}

### Similar Problems

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