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=[int(i) for i in input().split()]
if len(set(a))==1 and a[0]%2==0:
  print(-1)
  exit()
n=0
while all(i%2==0 for i in a):
  n+=1
  a=[(a[1]+a[2])/2,(a[0]+a[2])/2,(a[0]+a[1])/2]
print(n)