Two little greedy bears have found two pieces of cheese in the forest of weight *a* and *b* grams, correspondingly. The bears are so greedy that they are ready to fight for the larger piece. That's where the fox comes in and starts the dialog: "Little bears, wait a little, I want to make your pieces equal" "Come off it fox, how are you going to do that?", the curious bears asked. "It's easy", said the fox. "If the mass of a certain piece is divisible by two, then I can eat exactly a half of the piece. If the mass of a certain piece is divisible by three, then I can eat exactly two-thirds, and if the mass is divisible by five, then I can eat four-fifths. I'll eat a little here and there and make the pieces equal". 

The little bears realize that the fox's proposal contains a catch. But at the same time they realize that they can not make the two pieces equal themselves. So they agreed to her proposal, but on one condition: the fox should make the pieces equal as quickly as possible. Find the minimum number of operations the fox needs to make pieces equal.
The first line contains two space-separated integers *a* and *b* (1 ≤ *a*, *b* ≤ 10<sup class="upper-index">9</sup>).
def prime_factors(n):
    factors = {2: 0, 3: 0, 5: 0}
    for prime in [2, 3, 5]:
        while n % prime == 0:
            factors[prime] += 1
            n //= prime
    return n, factors

def min_operations(a, b):
    x, factors_a = prime_factors(a)
    y, factors_b = prime_factors(b)
    
    if x != y:
        return -1
    
    return abs(factors_a[2] - factors_b[2]) + abs(factors_a[3] - factors_b[3]) + abs(factors_a[5] - factors_b[5])

# Example usage
a = int(input())
b = int(input())
result = min_operations(a, b)
if result == -1:
    print(-1)
else:
    print(result)
