# Gernerates partitions for positive interger
See [Wikipedia](https://en.wikipedia.org/wiki/Partition_(number_theory)) for more info.

e.g. partitions of 8 are:
```
[
    [8],
    [7, 1],
    [6, 2],
    [6, 1, 1],
    [5, 3],
    [5, 2, 1],
    [5, 1, 1, 1],
    [4, 4],
    [4, 3, 1],
    [4, 2, 2],
    [4, 2, 1, 1],
    [4, 1, 1, 1, 1],
    [3, 3, 2],
    [3, 3, 1, 1],
    [3, 2, 2, 1],
    [3, 2, 1, 1, 1],
    [3, 1, 1, 1, 1, 1],
    [2, 2, 2, 2],
    [2, 2, 2, 1, 1],
    [2, 2, 1, 1, 1, 1],
    [2, 1, 1, 1, 1, 1, 1],
    [1, 1, 1, 1, 1, 1, 1, 1]
]
```

Currently able to generate partions for 1..65 (after that it usually fails with out of memory exception).Number of partitions grows exponentially, it takes a lot of memory. Uses caching and can be optimized further to reduce memory footprint by several times.