> For the complete documentation index, see [llms.txt](https://jaywin.gitbook.io/leetcode/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://jaywin.gitbook.io/leetcode/solutions/0840-magic-squares-in-grid.md).

# 0840. Magic Squares In Grid

<https://leetcode.com/problems/magic-squares-in-grid>

## Description

A `3 x 3` magic square is a `3 x 3` grid filled with distinct numbers **from** `1` **to** `9` such that each row, column, and both diagonals all have the same sum.

Given a `row x col` `grid` of integers, how many `3 x 3` "magic square" subgrids are there?  (Each subgrid is contiguous).

**Example 1:**

![](https://assets.leetcode.com/uploads/2020/09/11/magic_main.jpg)

```
**Input:** grid = [[4,3,8,4],[9,5,1,9],[2,7,6,2]]
**Output:** 1
**Explanation:** 
The following subgrid is a 3 x 3 magic square:
![](https://assets.leetcode.com/uploads/2020/09/11/magic_valid.jpg)
while this one is not:
![](https://assets.leetcode.com/uploads/2020/09/11/magic_invalid.jpg)
In total, there is only one magic square inside the given grid.
```

**Example 2:**

```
**Input:** grid = [[8]]
**Output:** 0
```

**Example 3:**

```
**Input:** grid = [[4,4],[3,3]]
**Output:** 0
```

**Example 4:**

```
**Input:** grid = [[4,7,8],[9,5,1],[2,3,6]]
**Output:** 0
```

**Constraints:**

* `row == grid.length`
* `col == grid[i].length`
* `1 <= row, col <= 10`
* `0 <= grid[i][j] <= 15`

## ac

```java
```


---

# Agent Instructions
This documentation is published with GitBook. GitBook is the documentation platform designed so that both humans and AI agents can read, navigate, and reason over technical content effectively. Learn more at gitbook.com.

## 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://jaywin.gitbook.io/leetcode/solutions/0840-magic-squares-in-grid.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.