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 Go (1.14.1) (judge verdict: Accepted)

package main
import (
    "fmt"
)

func min (a int,b int) int {
    if a < b {
        return a
    }
    return b
}

func div2 (x int) int {
    ans := 0
    for x % 2 == 0 {
        x /= 2
        ans ++
    }
    return ans
}

func main(){
    var n int
    fmt.Scan(&n)
    arr := make([]int, n)
    for i := range(arr) {
        fmt.Scan(&arr[i])
    }
    var ans int
    ans = 1e9
    for _, e := range arr {
        ans = min(ans, div2(e))
    }
    fmt.Println(ans)
}