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
import pdb
a,b,c = map(int, raw_input().strip().split(' '))
if a==b==c:
    if a%2==0:
        print -1
    else:
        print 0
elif a%2!=0 or b%2!=0 or c%2!=0:
    print 0
else:
    Flag = True
    cnt = 0
    for i in range(100000):
        tmp1,tmp2=a,b
        a = b/2+c/2
        b = tmp1/2+c/2
        c = tmp1/2+tmp2/2
        cnt += 1
#         pdb.set_trace()
        if a%2!=0 or b%2!=0 or c%2!=0:
            Flag = False
            break
    if Flag:
        print -1
    else:
        print cnt
            
