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 C (GCC 5.4.1) (judge verdict: Accepted)

#include<stdio.h>
int main(void){
  int numNum;
  int a[200];
  int i;
  int guCount = 0;
  int wariCount = 0;
  
  scanf("%d\n",&numNum);
  for(i=0;i<numNum;i++){
   scanf("%d ",&a[i]);
  }
  
  while(1){
    for(i=0;i<numNum;i++){
      if(a[i]%2 == 0){
        guCount += 1; 
      }
      a[i] = a[i]/2;
    }
    if(guCount == numNum){
      wariCount += 1;
      guCount = 0;
    }
    else{
      break;
    }
  }
  
  
 //printf("%d\n",numNum);
 //printf("%d %d %d",a[0],a[1],a[2]);
 
 printf("%d",wariCount);
  
 
 return 0; 
}