# Find Rectangles

This mission is an adaptation of the "Rectangles" game (from Simon Tatham's Portable Puzzle Collection ). If you are lost or just want to play, the game is available here .

You have to divide a rectangular grid into rectangles, so that each rectangle contains exactly one cell with a non-empty number and the rectangle area is equal to this number.

The grid will be represented by a list of list of integers.
A rectangle will be represented by a tuple or list of four integers:

• the first two are the coordinates of the top left corner ;
• the last two are the coordinates of the bottom right corner.

```

[[3, 0, 0, 0, 0, 2],          {(0, 0, 0, 2), (1, 2, 3, 2),
[2, 0, 0, 4, 0, 0],           (1, 1, 5, 1), (1, 0, 2, 0),
[0, 5, 0, 0, 0, 0],   ===\    (3, 0, 5, 0), (2, 4, 4, 5),
[3, 0, 3, 2, 0, 0],   ===/    (0, 5, 1, 5), (0, 3, 1, 4),
[0, 0, 2, 0, 0, 6],           (2, 3, 3, 3), (4, 2, 4, 3),
[0, 0, 0, 4, 0, 0]]           (5, 2, 5, 5)}

Rectangle A starts at (0, 0) and ends at (0, 2).
Rectangle B starts at (1, 2) and ends at (3, 2).
Rectangle C starts at (1, 1) and ends at (5, 1).
...
Rectangle K starts at (5, 2) and ends at (5, 5).
```

Input: A list of list of integers.

Output: An iterable/list/set of tuple/list of four integers.

Example:

```rectangles([[3, 0, 0, 0, 0, 2],
[2, 0, 0, 4, 0, 0],
[0, 5, 0, 0, 0, 0],
[3, 0, 3, 2, 0, 0],
[0, 0, 2, 0, 0, 6],
[0, 0, 0, 4, 0, 0]]) == {(0, 0, 0, 2), (1, 2, 3, 2), (1, 1, 5, 1), (1, 0, 2, 0),
(3, 0, 5, 0), (2, 4, 4, 5), (0, 5, 1, 5), (0, 3, 1, 4),
(2, 3, 3, 3), (4, 2, 4, 3), (5, 2, 5, 5)}
```

To play the puzzles / tests yourself: 1 2 3 4 5 6 7 8 9 10 11 12 13

Preconditions:

• All puzzles have one and only one solution.
• 6 ≤ len(grid) ≤ 50 and 6 ≤ len(grid[0]) ≤ 50.
• all(len(row) == len(grid[0]) for row in grid).

49
Settings
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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.

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