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(lambda x:int(x),input().split())
reps = 0
while a%2==0 and b%2==0 and c%2==0:
  if (a==b==c):
    reps = -1
    break
  at=a
  bt=b
  ct=c
  a = int(bt/2+ct/2)
  b = int(at/2+ct/2)
  c = int(at/2+bt/2)
  reps += 1
print(reps)