# Magic Square

Simple
English

In mathematics a magic square is an arrangement of numbers (integers in our case) in a square grid, where the numbers in each row, each column and the numbers in the forward and backward main diagonals, all sum up to the same number.

You have been given an incomplete magic square (with a size from 3 to 5). With your coding skills, you must finish the square. It must be a normal magic square and contain integers from 1 to n 2 without repeating. The square is presented as a list of lists with integers. Zero is used to mark an empty cell. You should return a completed magic square. The task may have multiple solutions.

Input: A partially filled magic square as a list of lists with integers.

Output: The completed magic square as a list of lists with integers.

Example:

```checkio([
[2, 7, 6],
[9, 5, 1],
[4, 3, 0]
])
#must return [[2, 7, 6], [9, 5, 1], [4, 3, 8]]

checkio([
[0, 0, 0],
[0, 5, 0],
[0, 0, 0]
])
#can return [[2, 7, 6], [9, 5, 1], [4, 3, 8]] or
# [[4, 9, 2], [3, 5, 7], [8, 1, 6]

checkio([[1, 15, 14, 4],
[12, 0, 0, 9],
[8, 0, 0, 5],
[13, 3, 2, 16]])
# answer [[1, 15, 14, 4], [12, 6, 7, 9], [8, 10, 11, 5], [13, 3, 2, 16]]
```

How it is used: This is a constraint satisfaction problem. It's used not only for solving puzzles, but also for planning and resource allocation in city planning, construction and just about everywhere else.

Precondition: 3 ≤ |square| ≤ 5
square_width == square_height

45
Settings
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Other:
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CheckiO Extensions

CheckiO Extensions allow you to use local files to solve missions. More info in a blog post.

In order to install CheckiO client you'll need installed Python (version at least 3.8)

Install CheckiO Client first:

`pip3 install checkio_client`

`checkio --domain=py config --key=`

Sync solutions into your local folder

`checkio sync`

(in beta testing) Launch local server so your browser can use it and sync solution between local file end extension on the fly. (doesn't work for safari)

`checkio serv -d`

Alternatevly, you can install Chrome extension or FF addon

`checkio install-plugin`
`checkio install-plugin --ff`
`checkio install-plugin --chromium`

Read more here about other functionality that the checkio client provides. Feel free to submit an issue in case of any difficulties.

Pair Programming (Beta-version)

Welcome to Pair Programming! Engage in real-time collaboration on coding projects by starting a session and sharing the provided unique URL with friends or colleagues. This feature is perfect for joint project development, debugging, or learning new skills together. Simply click 'Start Session' to begin your collaborative coding journey!

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