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: Wrong Answer)

package main

import (
	"bufio"
	"fmt"
	"os"
	"strconv"
	"strings"
)

func main() {
	stdin := bufio.NewScanner(os.Stdin)
	stdin.Scan()
	stdin.Text()
	stdin.Scan()
	in := stdin.Text()
	out, _ := do(in)
	fmt.Println(out)
}

func do(in string) (string, error) {
	s := strings.Split(in, " ")
	var nums = make([]int, 0, len(s))
	for _, n := range s {
		num, err := strconv.Atoi(n)
		if err != nil {
			return "", err
		}
		nums = append(nums, num)
	}

	var are = false
	var i = 0
	for ; !are; i++ {
		are = true
		var nums1 = make([]int, 0, len(nums))
		for _, n := range nums {
			if n%2 == 0 {
				nums1 = append(nums1, n/2)
				are = false
			}
		}
		nums = nums1
	}
	return strconv.Itoa(i - 1), nil
}