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

// go run ./main.go < in

func main() {
	var n int
	fmt.Scan(&n)

	var strInputs []string
	sc := bufio.NewScanner(os.Stdin)
	sc.Scan()
	strInputs = strings.Split(sc.Text(), " ")

	var inputs []int
	for _, v := range strInputs {
		num, _ := strconv.Atoi(v)
		inputs = append(inputs, num)
	}

	count, end := 0, false
	for {
		for j, v := range inputs {
			if v%2 == 0 {
				inputs[j] /= 2.0
				count++
			} else {
				end = true
			}
		}
		if end {
			break
		}
	}
	fmt.Println(count / n)
}