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().strip().split())
if A==B and A==C:
    if A%2==0:
        print -1
    else:
        print 0
else:
    ans = 0
    while A%2==B%2==C%2==0 and ans<10000:
        tmp1,tmp2 = A,B
        A = B/2 + C/2
        B = tmp1/2+C/2
        C = tmp1/2+tmp2/2
        ans += 1
    print -1 if ans == 10000 else ans
    
    