Luba thinks about watering her garden. The garden can be represented as a segment of length k. Luba has got n buckets, the i-th bucket allows her to water some continuous subsegment of garden of length exactly ai each hour. Luba can't water any parts of the garden that were already watered, also she can't water the ground outside the garden.

Luba has to choose one of the buckets in order to water the garden as fast as possible (as mentioned above, each hour she will water some continuous subsegment of length ai if she chooses the i-th bucket). Help her to determine the minimum number of hours she has to spend watering the garden. It is guaranteed that Luba can always choose a bucket so it is possible water the garden.

See the examples for better understanding.

Input

The first line of input contains two integer numbers n and k (1 ≤ n, k ≤ 100) — the number of buckets and the length of the garden, respectively.

The second line of input contains n integer numbers ai (1 ≤ ai ≤ 100) — the length of the segment that can be watered by the i-th bucket in one hour.

It is guaranteed that there is at least one bucket such that it is possible to water the garden in integer number of hours using only this bucket.

Output

Print one integer number — the minimum number of hours required to water the garden.

Examples

Input

3 6
2 3 5


Output

2


Input

6 7
1 2 3 4 5 6


Output

7

Note

In the first test the best option is to choose the bucket that allows to water the segment of length 3. We can't choose the bucket that allows to water the segment of length 5 because then we can't water the whole garden.

In the second test we can choose only the bucket that allows us to water the segment of length 1.
/* 
 * UMANG PANCHAL
 * DAIICT
 */

import java.util.*;
import java.io.*;
import java.math.BigInteger;
import java.util.Comparator;
public class Main
{
 
	private static final Comparator<? super Integer> Comparator = null;
	static LinkedList<Integer> adj[];
	static ArrayList<Integer> adj1[];
	static int[] color,visited1;
	static boolean b[],visited[],possible;
	static int level[];
	static Map<Integer,HashSet<Integer>> s;
	static int totalnodes,colored;
	static int count[];
	static long sum[];
	static int nodes;
	static double ans=0;
	static long[] as=new long[10001];
	static long c1=0,c2=0;
	static int[] a,d,k;
	static int max=100000000;
	static long MOD = 1000000007,sm=0,m=Long.MIN_VALUE;
	static boolean[] prime=new boolean[1000005];
	static int[] levl;
    static int[] eat;
    static int price[];
    static int res[],par[];
    static int result=0;
    static int[] root,size;
    static boolean yes = true;
    static long p=Long.MAX_VALUE;
	// --------------------My Code Starts Here----------------------
	
	public static void main(String[] args) throws IOException
	{
		in=new InputReader(System.in);
		w=new PrintWriter(System.out);
	
		int n=ni(),k=ni();
	    int[] a=na(n);
	     Arrays.sort(a);
	     long ans=0;
	     for(int i=n-1;i>=0;i--)
	     {
	    	 if(k%a[i]==0)
	    	 {
	    		 w.print(k/a[i]);
	    		 break;
	    	 }
	     }
	    w.close();
    }


	// --------------------My Code Ends Here------------------------
     

	public static void dfs(int i)
	{
		
		
		if(visited[i])
			return;
		visited[i]=true;
		for(int j=0;j<adj[i].size();j++)
		{
			int x=adj[i].get(j);
			if(!visited[x])
			{
				dfs(x);
			}
		}
		return;
	}
	public static void pa(int[] a)
	{
		for(int i=0;i<a.length;i++)
			w.print(a[i]+" ");
		w.println();
	}
	public static void bfs(int i)
	{
	
	  Queue<Integer> q=new LinkedList<Integer>();
	 q.add(i);
	 
	 level[i]=1;
	 while(!q.isEmpty())
	 {
		 int d=q.poll();
		 for(int j=0;j<adj[d].size();j++)
		 {
			 int x=adj[d].get(j);
			 level[x]=level[d]+1;
			 q.add(x);
		 }
		
	 }
	  
	}
	
	 public static void buildgraph(int n)
	 {
         adj=new LinkedList[n+1];
         visited=new boolean[n+1];
         level=new int[n+1];
         par=new int[n+1];
         for(int i=1;i<=n;i++)
         	{
        	 adj[i]=new LinkedList<Integer>();
         	
         	}
      
	 }
	
	/*public static long kruskal(Pair[] p)
	{
		long ans=0;
		int w=0,x=0,y=0;
		for(int i=0;i<p.length;i++)
		{
			w=p[i].w;
			x=p[i].x;
			y=p[i].y;
			if(root(x)!=root(y))
			{
				ans+=w;
				union(x,y);
			}
		}
		return ans;
	}*/
	
	 static class Pair implements Comparable<Pair>
	 {
		Integer x,y;
	
		Pair(int x,int y)
		{
			this.x=x;
			this.y=y;
		}
		public int compareTo(Pair o)
		{
		  return y-o.y;
		  
		} 
		
	}
	
	 
	  public static  long maxSubArraySum(int a[], int size)
      {
         long max_so_far = a[0];
         long curr_max = a[0];
       
         for (int i = 1; i < size; i++)
         {
              curr_max = Math.max(a[i], curr_max+a[i]);
              max_so_far = Math.max(max_so_far, curr_max);
         }
         return max_so_far;
      }
	
	public static int root(int i)
	{
		while(root[i]!=i)
		{
			root[i]=root[root[i]];
			i=root[i];
		}
		return i;
	}
	
	public static void init(int n)
	{
		root=new int[n+1];
		for(int i=1;i<=n;i++)
			root[i]=i;
	}
	public static void union(int a,int b)
	{
	    int root_a=root(a);	
	    int root_b=root(b);
	    root[root_a]=root_b;
	   // size[root_b]+=size[root_a];
	}
	
	public static long nCrModp(long n, long r, long p)
	{
	    
	    long[] C=new long[(int)r+1];
	    
	 
	    C[0] = 1; 
	    
	    for (long i = 1; i <= n; i++)
	    {
	        
	        for (long j = Math.min(i, r); j > 0; j--)
	 
	            
	            C[(int)j] = (C[(int)j] + C[(int)(j-1)])%p;
	    }
	    return C[(int)r];
	}
	public static long nCr(long n, long r)
	{
		long x=1;
		for(long i=n;i>=n-r+1;i--)
			x=((x)*(i));
		for(long i=r;i>=1;i--)
			x=((x)/(i));
		
		return x%MOD;
	}
	public static long nCrModpDP(long n, long r, long p)
	{
	
	    long[] C=new long[(int)r+1];
	 
	    C[0] = 1; 
	 
	 
	    for (long i = 1; i <= n; i++)
	    {
	        for (int j = (int)Math.min(i, r); j > 0; j--)
	           C[j] = (C[j] + C[j-1])%p;
	    }
	    return C[(int)r];
	}

	public static long nCrModpLucas(long n,long r, long p)
	{
	  
	   if (r==0)
	      return 1;
	 
	   long ni = n%p, ri = r%p;
	
	   return (nCrModpLucas(n/p,r/p, p) * nCrModpDP(ni,ri, p)) % p;  
	}
	

	public static int getSum(long BITree[], int index)
	{
	    int sum = 0;
	    
	    while (index > 0)
	    {
	        sum += BITree[index];
	        index -= index & (-index);
	    }
	    return sum;
	}
	
	public static long[] updateBIT(long BITree[], int n, int index, int val)
	{
	    while (index <= n)
	    {
	       BITree[index] += val;
	       index += index & (-index);
	    }
	    return BITree;
	}
	

	
	public static boolean isPrime(int n)
	{
	    // Corner cases
	    if (n <= 1)  return false;
	    if (n <= 3)  return true;
	 
	    // This is checked so that we can skip 
	    // middle five numbers in below loop
	    if (n%2 == 0 || n%3 == 0)
	    	return false;
	 
	    for (int i=5; i*i<=n; i=i+6)
	        if (n%i == 0 || n%(i+2) == 0)
	           return false;
	 
	    return true;
	}
	

	
	public static String ns()
	{
		return in.nextLine();
	}
	public static int ni()
	{
		return in.nextInt();
	}
	public static long nl()
	{
		return in.nextLong();
	}
	public static int[] na(int n)
	{
		a=new int[n];
		for(int i=0;i<n;i++)
		a[i]=ni();
		return a;
	}
	public static void sieveOfEratosthenes()
	    {
	       int n=prime.length;
	        for(int i=0;i<n;i++)
	            prime[i] = true;
	         
	        for(int p = 2; p*p <=n; p++)
	        {
	            if(prime[p] == true)
	            {
	                for(int i = p*2; i <n; i += p)
	                    prime[i] = false;
	            }
	        }
	    }

	public static boolean printDivisors(long n)
    {
		long ans=0;
        for (int i=1; i<=Math.sqrt(n); i++)
        {
            if (n%i==0)
            {
                if (n/i == i)
                    ans++;
                else 
                {
                	ans=ans+2;
                }
            }
            if(ans>3)
            	break;
        }
        if(ans==3)
        	return true;
        else
        	return false;
    }


  public static String rev(String s)
	{
		StringBuilder sb=new StringBuilder(s);
		sb.reverse();
		return sb.toString();
	}
	static long lcm(long a, long b)
	{
	    return a * (b / gcd(a, b));
	}
	static long gcd(long a, long b)
	{
	    while (b > 0)
	    {
	        long temp = b;
	        b = a % b; // % is remainder
	        a = temp;
	    }
	    return a;
	}
	static InputReader in;
	static PrintWriter w;
static class InputReader 
{
 
private final InputStream stream;
private final byte[] buf = new byte[8192];
private int curChar, snumChars;
private SpaceCharFilter filter;
 
public InputReader(InputStream stream)
{
  this.stream = stream;
}
 
public int snext()
{
  if (snumChars == -1)
    throw new InputMismatchException();
  if (curChar >= snumChars)
  {
    curChar = 0;
    try 
    {
      snumChars = stream.read(buf);
    }
    catch (IOException e)
    {
      throw new InputMismatchException();
    }
    if (snumChars <= 0)
      return -1;
  }
  return buf[curChar++];
}
 
public int nextInt() 
{
  int c = snext();
  while (isSpaceChar(c)) 
  {
    c = snext();
  }
  int sgn = 1;
  if (c == '-')
  {
    sgn = -1;
    c = snext();
  }
  int res = 0;
  do
  {
    if (c < '0' || c > '9')
      throw new InputMismatchException();
    res *= 10;
    res += c - '0';
    c = snext();
  }
  while (!isSpaceChar(c));
  return res * sgn;
}
 
public long nextLong() 
{
  int c = snext();
  while (isSpaceChar(c)) 
  {
    c = snext();
  }
  int sgn = 1;
  if (c == '-')
  {
    sgn = -1;
    c = snext();
  }
  long res = 0;
  do
  {
    if (c < '0' || c > '9')
      throw new InputMismatchException();
    res *= 10;
    res += c - '0';
    c = snext();
  }
  while (!isSpaceChar(c));
  return res * sgn;
}	    
public String readString() 
{
  int c = snext();
  while (isSpaceChar(c)) 
  {
    c = snext();
  }
  StringBuilder res = new StringBuilder();
  do
  {
    res.appendCodePoint(c);
    c = snext();
  }
  while (!isSpaceChar(c));
  return res.toString();
}
 
public String nextLine() 
{
  int c = snext();
  while (isSpaceChar(c))
    c = snext();
  StringBuilder res = new StringBuilder();
  do
  {
    res.appendCodePoint(c);
    c = snext();
  }
  while (!isEndOfLine(c));
  return res.toString();
}
 
public boolean isSpaceChar(int c)
{
  if (filter != null)
    return filter.isSpaceChar(c);
  return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
}
 
private boolean isEndOfLine(int c) 
{
  return c == '\n' || c == '\r' || c == -1;
}
 
public interface SpaceCharFilter
{
  public boolean isSpaceChar(int ch);
}
}
	
}