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

// 文字列を1行取得
func StrStdin() (stringReturned string) {
    scanner := bufio.NewScanner(os.Stdin)

    scanner.Scan()
    stringInput := scanner.Text()

    stringReturned = strings.TrimSpace(stringInput)
    return
}

// 整数値1つ取得
func IntStdin() (int, error) {
    stringInput := StrStdin()
    return strconv.Atoi(strings.TrimSpace(stringInput))
}

// 空白や空文字だけの値を除去したSplit()
func SplitWithoutEmpty(stringTargeted string, delim string) (stringReturned []string) {
    stringSplited := strings.Split(stringTargeted, delim)

    for _, str := range stringSplited {
        if str != "" {
            stringReturned = append(stringReturned, str)
        }
    }

    return
}

// デリミタで分割して文字列スライスを取得
func SplitStrStdin(delim string) (stringReturned []string) {
    // 文字列で1行取得
    stringInput := StrStdin()

    // 空白で分割
    // stringSplited := strings.Split(stringInput, delim)
    stringReturned = SplitWithoutEmpty(stringInput, delim)

    return
}

// デリミタで分割して整数値スライスを取得
func SplitIntStdin(delim string) (intSlices []int, err error) {
    // 文字列スライスを取得
    stringSplited := SplitStrStdin(" ")

    // 整数スライスに保存
    for i := range stringSplited {
        var iparam int
        iparam, err = strconv.Atoi(stringSplited[i])
        if err != nil {
            return
        }
        intSlices = append(intSlices, iparam)
    }
    return
}

func main(){
  N:= StrStdin()
  ii, eerr := SplitIntStdin(" ")
  if eerr != nil {
    fmt.Println(eerr)
  }
  // fmt.Println(N)
  _ = N

  result := 100

  for _,i := range ii {
    // fmt.Printf("%d\n",i)
    power:= 0
    for i%2 ==0 {
      // fmt.Println(i)
      i /= 2
      power +=1
    }
    if power <= result{
      result = power
    }
  }
  fmt.Println(result)
}