p03723 AtCoder Grand Contest 014 - Cookie Exchanges
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
```python
A, B, C = map(int, input().split())
if A == B == C:
    print(0 if A%2 else -1)
else:
    cnt = 0
    while A%2==0 and B%2==0 and C%2==0:
        A, B, C = (B+C)//2, (C+A)//2, (A+B)//2
        cnt += 1
    print(cnt)

```