# Stacking Cubes

Challenging

In this mission you'll have to stack the cubes.

You are given a list of cube details (a tuple of 3 integers: X coordinate, Y coordinate, and edge length).
You have to return the maximum stacking height of the cubes.

Here are some of the conditions:
• each coordinate is the minimum value;
• all edges are parallel to the coordinate axes;
• the order of cube stacking is arbitrary, but the X and Y coordinates of the cubes can't be changed;
• if at least 1x1 faces of the cubes touch, they will be stacked.

Note:

• You don't necessarily need to use all of the cubes.

Examples :

```stacking_cubes([(0, 0, 2), (1, 1, 2), (3, 2, 2)]) == 4
stacking_cubes([(0, 0, 2), (1, 1, 2), (1, 2, 1), (2, 2, 2)]) == 6
stacking_cubes([(0, 0, 2), (0, 2, 2), (0, 2, 2), (2, 0, 2), (2, 0, 2), (2, 0, 2), (2, 0, 2)]) == 8```

Input: A list of tuples of 3 integers.

Output: An integer.

Precondition:

• 2 ≤ len(cubes) ≤ 50
• -100 ≤ X, Y coordinate ≤ 100
Settings
Code:
Other:
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Hot keys:
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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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