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"
)

var sc = bufio.NewScanner(os.Stdin)

func getInput() ([]int, bool) {
	sc.Split(bufio.ScanWords)

	// read num of input.
	N := 0
	if sc.Scan() {
		n, err := strconv.Atoi(sc.Text())
		if err != nil {
			return nil, false
		}
		N = n
	}

	A := make([]int, N)
	for i := range A {
		if !sc.Scan() {
			return nil, false
		}
		a, err := strconv.Atoi(sc.Text())
		if err != nil {
			return nil, false
		}
		A[i] = a
	}
	return A, true
}

func main() {

	A, b := getInput()
	if !b {
		return
	}

	num := 0
	for {
		isAllEnv := true
		for i := range A {
			// 奇数
			if A[i]&0x00000001 == 1 {
				isAllEnv = false
				break
			}
			A[i] = A[i] >> 1
		}
		if !isAllEnv {
			break
		}
		num++
	}

	fmt.Println(num)
}