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())
[A, B, C] = sorted([A, B, C])
ans = 0
while A%2==0 and B%2==0 and C%2==0:
	ans += 1
	new1, new2, new3 = B/2 + C/2, A/2 + C/2, A/2 + B/2
	if new1 == new3:
		ans = -1
		break
	else:
		A, B, C = new1, new2, new3
print ans
