othercriteria

#!/usr/bin/env python

import sys

_usage = 'Usage: %s num_cookies num_people' % sys.argv[0]

try:
    n_cookies = int(sys.argv[1])
    n_people = int(sys.argv[2])
except:
    print _usage
    sys.exit()

print 'Trying to distribute identical %d cookies to %d distinct people' % \
    (n_cookies, n_people)

memo = {}

for cookies in range(0, n_cookies+1): memo[(cookies, 1)] = 1

for people in range(2, n_people+1):
    for cookies in range(0, n_cookies+1):
        memo[(cookies, people)] = sum([memo[(leftover, people - 1)]
                                       for leftover in range(0, cookies+1)])

print '%d different ways!' % memo[(n_cookies, n_people)]