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
def cookie_exchanges():
	a, b, c = map(int, raw_input().split(" "))
	if a%2==1 or b%2==1 or c%2==1:
		print 0
		return
	ans = 0
	while True:
		if a==b and b==c:
			print -1
			return
		_a = a
		_b = b
		_c = c
		a = (_b+_c)/2
		b = (_a+_c)/2
		c = (_a+_b)/2
		# print a,b,c
		ans+=1
		if a%2==1 or b%2==1 or c%2==1:
			print ans
			return

if __name__ == "__main__":
	cookie_exchanges()