Five-line solution to the Subset-sum problem (Python)

Five-line solution to the Subset-sum problem (Python)(stackoverflow.com)

2 points by varrakesh 13 years ago | 1 comment

A five-line Python solution to the subset-sum problem (dynamic programming, pseudopolynomial time):

def subset_sum(A, target): T = {0} for i in A: T |= {x + i for x in T} return target in T

Seems to be pretty efficient.

adlpz 13 years ago |

Interesting to see actual use of sets on Python. For those like me not familiar with the syntax there, the OR-ing (|=) is just Union minus Intersection (because all elements of a Set are unique).

    >>> {1,2,3} | {2,4,6}
    set([1, 2, 3, 4, 6])

By the way, AND-ing would be a straight intersection

    >>> {1,2,3} & {2,4,6}
    set([2])