# Generates all length-3 words with symbols taken from the given alphabet.
def genWords3(symbols):
    return [ x+y+z for x in symbols for y in symbols for z in symbols ]


# Generates all length-n words with symbols taken from the given alphabet.
def genWords(symbols, n):
    if n == 0:
        return ['']
    lista = genWords(symbols, n-1)
    return [ x+y for x in symbols for y in lista ]


def main():
    lstA = genWords3("abc")
    print(lstA)

    lstB = genWords("abc", 3)  # should return the same words, maybe in other order
    print(lstB)
    assert sorted(lstA) == sorted(lstB)

    print(genWords("ab", 1))
    print(genWords("ab", 0))

    lstC = genWords("01", 4)  # should return all length-4 binary words
    print(lstC)

if __name__ == "__main__":
    main()