Validator

from math import floor, ceil, log, exp
from string import digits, ascii_letters
from sys import stdout

dxdiag    = [2526304,442413,77476,6455302,4318205,1063,1932310,338391,34669,6455302,2209435,6942,929,4318205,338391,1292598,4937507,338391,5645626,1130470,929,338391,505862,756216,67758,5645626,338391,4937507,5645626,59260,1292598,34669,988677,338391,578411,1130470,929,578411,1689944,10377,4318205,338391,756216,7381098,10377,4318205]
charsets = digits + ascii_letters + '_'

def get_const(val, start):
    counter = 1.0
    divisor = 1.0 + start
    while True:
        result = floor(exp(counter * 13 / divisor))
        if result == val:
            return (chr(int(counter)), divisor)
        elif result > val:
            divisor += 1
            counter  = 1.0
        counter += 1

def transform_char(val, konst):
    return chr(int(ceil(log(val * 1.0) * konst / 13)))

def main():
    konst = 0
    iter = 1
    result_arr = []

    while True:
        result_arr = []
        char, konst = get_const(dxdiag[0], konst)
        print("Iteration %d: Using const %d" % (iter, konst))

        if char in charsets:
            result_arr = map(lambda x: transform_char(x, konst), dxdiag)
            print result_arr
            result_arr = filter(lambda c: c in charsets, result_arr)

            if len(result_arr) == len(dxdiag):
                flag = ''.join(result_arr)
                print("Flag is: %s" % (flag))
                break

        iter += 1

main()