Problem:
Score : 200 points

Problem Statement

There are N positive integers written on a blackboard: A_1, ..., A_N.

Snuke can perform the following operation when all integers on the blackboard are even:

Replace each integer X on the blackboard by X divided by 2.

Find the maximum possible number of operations that Snuke can perform.

Constraints

1 \leq N \leq 200

1 \leq A_i \leq 10^9

Input

Input is given from Standard Input in the following format:

N
A_1 A_2 ... A_N

Output

Print the maximum possible number of operations that Snuke can perform.

Sample Input 1

3
8 12 40

Sample Output 1

2

Initially, [8, 12, 40] are written on the blackboard.
Since all those integers are even, Snuke can perform the operation.

After the operation is performed once, [4, 6, 20] are written on the blackboard.
Since all those integers are again even, he can perform the operation.

After the operation is performed twice, [2, 3, 10] are written on the blackboard.
Now, there is an odd number 3 on the blackboard, so he cannot perform the operation any more.

Thus, Snuke can perform the operation at most twice.

Sample Input 2

4
5 6 8 10

Sample Output 2

0

Since there is an odd number 5 on the blackboard already in the beginning, Snuke cannot perform the operation at all.

Sample Input 3

6
382253568 723152896 37802240 379425024 404894720 471526144

Sample Output 3

8

Solution in Ruby (2.3.3) (judge verdict: Accepted)

# Problem https://atcoder.jp/contests/abc081/tasks/abc081_b
# Ruby 3rd Try
N = gets.chomp.to_i
ValueDiv = Array.new(N,0)
Ai = gets.chomp.split(' ').map(&:to_i)

for k in 0..(Ai.length-1) do
    oddFlag = false
    number = Ai[k]
    while true
        modNumber = number % 2
        if (modNumber == 1)
            oddFlag = true
        end
        if oddFlag
            break
        else
            number = number / 2
            ValueDiv[k] = ValueDiv[k]+1
        end
    end
end
answer = 1000
for k in 0..(Ai.length-1) do
    if ValueDiv[k] < answer
        answer = ValueDiv[k]
    end
end
puts(answer)