# 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.

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

```
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.
```

## Idea

{% hint style="info" %}
Two pointers
{% endhint %}

left=0, right=length-1; 

getArea for each left--right pair, left++ if height\[left]\<height\[right], otherwise right++

## Code

```java
public int maxArea(int[] height) {
        int left = 0;
        int right = height.length-1;
        
        int max = 0;
        while(left<right){
            if(getArea(height, left, right)>max){
                max = getArea(height, left, right);    
            }
            if(height[left]<height[right]){
                left++;
            }
            else{
                right--;
            }
        }
        
        return max;
    }
    
    private int getArea(int[] height, int left, int right){
        int h = height[left]<height[right]?height[left]:height[right];
        int w = right-left;
        return h*w;
    }
```


---

# Agent Instructions: Querying This Documentation

If you need additional information that is not directly available in this page, you can query the documentation dynamically by asking a question.

Perform an HTTP GET request on the current page URL with the `ask` query parameter:

```
GET https://yingzehou.gitbook.io/docs/leetcode/array/container-with-most-water.md?ask=<question>
```

The question should be specific, self-contained, and written in natural language.
The response will contain a direct answer to the question and relevant excerpts and sources from the documentation.

Use this mechanism when the answer is not explicitly present in the current page, you need clarification or additional context, or you want to retrieve related documentation sections.