1 | initial version |
Well... Let's try to be lazy, and reuse work already done :
sage: subsets?
Docstring:
Iterator over the *list* of all subsets of the iterable X, in no
particular order. Each list appears exactly once, up to order.
INPUT:
* "X" - an iterable
OUTPUT: iterator of lists
So, what's wrong with :
sage: [u for u in subsets(ListA) if len(u) == 2]
[[1, 2], [1, 3], [2, 3]]
Of course, the subsets
operator will generate all subsets of ListA
. It might be interesting to write a specialized generator...
OTOH, someone already did the work (and probably better than I can do) :
sage: Subsets?
Docstring:
Return the combinatorial class of the subsets of the finite set
"s". The set can be given as a list, Set or any iterable
convertible to a set. Alternatively, a non-negative integer n can
be provided in place of "s"; in this case, the result is the
combinatorial class of the subsets of the set \{1,2,...,n\} (i.e.
of the Sage "range(1,n+1)").
A second optional parameter "k" can be given. In this case,
"Subsets" returns the combinatorial class of subsets of "s" of size
"k".
Therefore :
sage: list(Subsets(ListA, 2))
[{1, 2}, {1, 3}, {2, 3}]
Beware : the returned elements are Set
s (and not set
s). If you insist on lists :
sage: list(map(list, Subsets(ListA, 2)))
[[1, 2], [1, 3], [2, 3]]
HTH,