# Count Domino Tilings

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In domino tiling problem, a room of contiguous unit squares is to be tessellated with blank 2-by-1 domino tiles, each such tile placed either vertically or horizontally.

In our version of domino tiling, the shape of the room consists of vertically stacked rows that all share the common straight line left wall. The list of rows contains the length of the individual rows, as measured in squares. You need to find and return a number of ways, how the given room may be tiled.

Of course, the task of domino tiling can be solved only for even room sizes. But this necessary condition by itself does not yet guarantee the existence of some tiling on the mutilated rooms, like in this mission. Here is an interesting and useful video to dive into problem:

Input: List of integers (int).

Output: Integer (int).

Examples:

```assert domino_tile([2, 2]) == 2
assert domino_tile([4, 3, 2, 1]) == 0
assert domino_tile([5, 3, 4, 2]) == 7
assert domino_tile([8, 8, 8, 8, 8, 9, 9]) == 1895245
```

The mission was taken from Python CCPS 109. It is taught for Ryerson Chang School of Continuing Education by Ilkka Kokkarinen

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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`

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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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