# Filling

Challenging
English RU

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

You have a rectangular grid with digits. You have to fill the grid with digits in such a way that each connected region (diagonally separated squares are not adjacent) of identical digits has an area equal to that common digit.

Empty cells are represented by zeros.

Note: It is possible that the solution grid contains regions without that none of its cells were given in the input grid (such as the 3s and a 1 in the first example).

```

[[0, 2, 0],  ===\  [[2, 2, 1],
[0, 0, 2],  ===/   [3, 3, 2],
[0, 1, 0]]         [3, 1, 2]]

[[1, 0, 1, 0, 1, 4, 0, 0],       [[1, 3, 1, 3, 1, 4, 4, 4],
[3, 0, 2, 3, 0, 0, 0, 4],        [3, 3, 2, 3, 3, 5, 5, 4],
[0, 0, 0, 1, 0, 0, 5, 1],  ===\  [4, 4, 2, 1, 5, 5, 5, 1],
[4, 0, 1, 3, 0, 1, 0, 0],  ===/  [4, 4, 1, 3, 3, 1, 8, 8],
[5, 0, 0, 0, 0, 0, 0, 8],        [5, 5, 5, 2, 3, 8, 8, 8],
[0, 0, 1, 2, 1, 0, 0, 0]]        [5, 5, 1, 2, 1, 8, 8, 8]]
```

Input: A list of lists of integers.

Output: A list/tuple of lists/tuples of integers.

Examples:

```filling([[0, 2, 0], [0, 0, 2], [0, 1, 0]]) == [[2, 2, 1], [3, 3, 2], [3, 1, 2]]
filling([[1, 0, 1, 0, 1, 4, 0, 0],
[3, 0, 2, 3, 0, 0, 0, 4],
[0, 0, 0, 1, 0, 0, 5, 1],
[4, 0, 1, 3, 0, 1, 0, 0],
[5, 0, 0, 0, 0, 0, 0, 8],
[0, 0, 1, 2, 1, 0, 0, 0]]) == [[1, 3, 1, 3, 1, 4, 4, 4],
[3, 3, 2, 3, 3, 5, 5, 4],
[4, 4, 2, 1, 5, 5, 5, 1],
[4, 4, 1, 3, 3, 1, 8, 8],
[5, 5, 5, 2, 3, 8, 8, 8],
[5, 5, 1, 2, 1, 8, 8, 8]]
```

To play the puzzles / tests yourself: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

Preconditions:

• All puzzles have one and only one solution.
• 3 ≤ len(grid) ≤ 25 and 3 ≤ len(grid[0]) ≤ 25.
• all(len(row) == len(grid[0]) for row in grid).

49
Settings
Code:
Other:
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Hot keys:
•  to Run Code: to Check Solution: to Stop:
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=`

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`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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