Takahashi, Aoki and Snuke love cookies. They have A, B and C cookies, respectively. Now, they will exchange those cookies by repeating the action below:

* Each person simultaneously divides his cookies in half and gives one half to each of the other two persons.



This action will be repeated until there is a person with odd number of cookies in hand.

How many times will they repeat this action? Note that the answer may not be finite.

Constraints

* 1 ≤ A,B,C ≤ 10^9

Input

Input is given from Standard Input in the following format:


A B C


Output

Print the number of times the action will be performed by the three people, if this number is finite. If it is infinite, print `-1` instead.

Examples

Input

4 12 20


Output

3


Input

14 14 14


Output

-1


Input

454 414 444


Output

1
a, b, c = map(int, raw_input().split())
ans = 0
used = {(a, b, c)}
while a%2+b%2+c%2 == 0:
    a, b, c = b/2+c/2, c/2+a/2, a/2+b/2
    ans += 1
    if (a, b, c) in used:
        print -1
        break
    used.add((a, b, c))
else:
    print ans
