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 (1.6) (judge verdict: Accepted)

package main

import (
        "fmt"
        "strconv"
)

func main() {
        a := ""
        b := make([]string, 0)
        fmt.Scan(&a)
        run_cnt := 0
        cnt, _ := strconv.Atoi(a)
        if cnt > 200 {
                cnt = 200
        }
        for ii := 0; ii < cnt; ii++ {
                fmt.Scan(&a)
                b = append(b, a)
        }
next:
        for k, v := range b {
                z, _ := strconv.Atoi(v)
                if z == 0 {
                        goto term
                } else if z%2 == 0 {
                        b[k] = fmt.Sprintf("%d", (z / 2))
                } else {
                        goto term
                }
        }
        run_cnt++
        goto next
term:
        fmt.Println(run_cnt)
}