Patrick - 1 year ago 54

Python Question

Given a set

`{a,b,c,d}`

`{a,b,c,d,ab,ac,ad,bc,bd,cd,abc,abd,abcd}`

A recursive algorithm, I think, but maybe some weird lambda thing would work better. I'm using python.

Answer Source

The Python `itertools`

page has exactly a `powerset`

recipe for this:

```
def powerset(iterable):
"powerset([1,2,3]) --> () (1,) (2,) (3,) (1,2) (1,3) (2,3) (1,2,3)"
s = list(iterable)
return chain.from_iterable(combinations(s, r) for r in range(len(s)+1))
```

Output:

```
>>> list(powerset("abcd"))
[(), ('a',), ('b',), ('c',), ('d',), ('a', 'b'), ('a', 'c'), ('a', 'd'), ('b', 'c'), ('b', 'd'), ('c', 'd'), ('a', 'b', 'c'), ('a', 'b', 'd'), ('a', 'c', 'd'), ('b', 'c', 'd'), ('a', 'b', 'c', 'd')]
```

If you don't like that empty tuple at the beginning, you can just change the `range`

statement to `range(1, len(s)+1)`

to avoid a 0-length combination.