change _ 0 = [[]] change [] _ = fail "can't make change" change (c:cs) n | c > n = change cs n | otherwise = map (c:) (change (c:cs) (n-c)) ++ change cs n #### > change [5,2] 16 [[5,5,2,2,2],[2,2,2,2,2,2,2,2]] #### quickchange cs n = listToMaybe (change cs n) > quickchange [5,2] 16 Just [5,5,2,2,2] > quickchange [7] 16 Nothing #### > :m +Data.Ratio > quickchange [1%2, 1%3] (10%6) Just [1%2, 1%2, 1%3, 1%3]