# Triangle Square Cubes

Following Matt Parker's Video on Squares of Triangle Numbers being sum of cubes,
and the Partridge Problem: https://youtu.be/eqyuQZHfNPQ?si=hbOQdVKBC-jwvysk.

This repository contains code that will find solutions to the problem.

## Copyright & Licence

This code is copyright 2025 Matthew Gretton-Dann.  Licensed under the
Apache-2.0 license.

## Running the code

### Initial setup

Prerequisite is to have `git` and `opam` installed on the path.

```sh
git clone ...
cd triangle-square-cubes
opam switch create .
opam update
opam install . --deps-only
```

### Building

```sh
dune build
```

### Testing

```sh
dune runtest
```

### Executing

```sh
N=9 # Set N to largest size of square.
dune exec partridge $N
```