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())

k=0
h=[]
while a/2*2==a and b/2*2==b and c/2*2==c:
    an=(b+c)/2
    bn=(c+a)/2
    cn=(a+b)/2
    a=an
    b=bn
    c=cn

    if [a,b,c] in h:
        k=-1
        break
    h.append([])
    h[k].append(a)
    h[k].append(b)
    h[k].append(c)
            
    k=k+1
    
print(k)

