This was my solution for CodeJam Qualification Round 
Question 3 : CryptoPangrams
link : 
https://codingcompetitions.withgoogle.com/codejam/round/0000000000051705/000000000008830b
I am getting a correct answer for the 2 sample cases provided but it fails in 
all the test cases. I tried setting Errors for  Please suggest!
I 
``
import string
def main(N, numbers):
    primelist, numlist = [], []
    firsti, n1, n2 = None , None, None
    def primes_gen(N):
        out = list()
        check = [True] * (N+1)
        for p in range(2, N+1):
            if (check[p]):
                out.append(p)
                for i in range(p, N+1, p):
                    check[i] = False
        return out
    primelist = primes_gen(N)
    for i in primelist:
        if numbers[0] % i == 0:
            firsti = i
            break
    secondi = numbers[0] / firsti
    if numbers[1] % firsti == 0:
        n1 = secondi
        n2 = firsti
    else:
        n1 = firsti
        n2 = secondi
    numlist.append(n1)
    numlist.append(n2)
    numbers.pop(0)
    def listgen(numbers, n2):
        nx = numbers[0] / n2
        numlist.append(nx)
        if len(numbers) > 1:
            numbers.pop(0)
            listgen(numbers,nx)
    listgen(numbers,n2)
    newlist = (list(set(numlist)))
    newlist.sort()
    dictionary = dict(zip(newlist, list(string.ascii_uppercase)))
    result = []
    for i in numlist:
        a = dictionary[i]
        result.append(a)
    return (''.join(map(str,result)))

T = int(input())
for i in range(T):
    N, n = map(int,input().split())
    if n < 25:
        raise ValueError()

    numbers = [int(k) for k in input().split()]
    if len(numbers) != n:
        raise ValueError()
    print ('Case #' + str(i+1) + ':' + ' ' + str(main(N,numbers)))
``

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