import random

def concat_digits(*args):
    output_digit = []
    for arg in args:
        output_digit.append(arg)

    return int(''.join(map(str, output_digit)))

def problem():
    nums = range(1,10)
    random.shuffle(nums)

    term1 = concat_digits(nums[0], nums[1])
    term2 = nums[2]
    term3 = concat_digits(nums[3], nums[4])
    if not term3 == term1 * term2:
        return False
    else:
        term4 = concat_digits(nums[5], nums[6])
        term5 = concat_digits(nums[7], nums[8])
        if not term5 == term4 + term3:
            return False
        else:
            print "%i * %i = %i + %i = %i" % (term1, term2, term3, term4, term5)
            return True

def solver():
    solved = False
    while not solved:
        solved = problem()