Python/ Cue Programming 3

from itertools import combinations, chain
allsubsets = lambda n: list(chain(*[combinations(range(n), ni) for ni in range(n+1)]))

print "Creating subsets..."
a = allsubsets(22)
# Example output [(), (0,), (1,), (2,), (0, 1), (0, 2), (1, 2), (0, 1, 2)]

list3 = [3, 4, 9, 14, 15, 19, 28, 37, 47, 50, 54, 56, 59, 61, 70, 73, 78, 81, 92, 95, 97, 99]

count = 0          # Used to filter out the first blank subset
count1 = 0         # Used for the sum of the numbers in each subset
result1 = 0        # When subsets
for b in a:
    if len(b) == 8:    # After len(subset) = 8 there are no possible further matches
        print "The Third Password is :", result1
        break
    if count == 0: count += 1    # Filter out the first blank subset
    else:
        if len(b) > 1:    # Filter out subsets with one number in them
            count1 = 0
            for c in b: count1 += int(list3[c])
            if count1 in list3: result1 = int(result1 + 1)