During the hypnosis session, Nicholas suddenly remembered a positive integer n, which doesn't contain zeros in decimal notation. 

Soon, when he returned home, he got curious: what is the maximum number of digits that can be removed from the number so that the number becomes not prime, that is, either composite or equal to one?

For some numbers doing so is impossible: for example, for number 53 it's impossible to delete some of its digits to obtain a not prime integer. However, for all n in the test cases of this problem, it's guaranteed that it's possible to delete some of their digits to obtain a not prime number.

Note that you cannot remove all the digits from the number.

A prime number is a number that has no divisors except one and itself. A composite is a number that has more than two divisors. 1 is neither a prime nor a composite number.

Input

Each test contains multiple test cases.

The first line contains one positive integer t (1 ≤ t ≤ 10^3), denoting the number of test cases. Description of the test cases follows.

The first line of each test case contains one positive integer k (1 ≤ k ≤ 50) — the number of digits in the number.

The second line of each test case contains a positive integer n, which doesn't contain zeros in decimal notation (10^{k-1} ≤ n < 10^{k}). It is guaranteed that it is always possible to remove less than k digits to make the number not prime.

It is guaranteed that the sum of k over all test cases does not exceed 10^4.

Output

For every test case, print two numbers in two lines. In the first line print the number of digits, that you have left in the number. In the second line print the digits left after all delitions. 

If there are multiple solutions, print any.

Example

Input


7
3
237
5
44444
3
221
2
35
3
773
1
4
30
626221626221626221626221626221


Output


2
27
1
4
1
1
2
35
2
77
1
4
1
6

Note

In the first test case, you can't delete 2 digits from the number 237, as all the numbers 2, 3, and 7 are prime. However, you can delete 1 digit, obtaining a number 27 = 3^3.

In the second test case, you can delete all digits except one, as 4 = 2^2 is a composite number.
//Some of the methods are copied from GeeksforGeeks Website  
import java.util.*;
import java.lang.*;
import java.io.*;
public class Main
{ 
  //static Scanner sc=new Scanner(System.in)
 // static  Reader sc=new Reader();
  static FastReader sc=new FastReader(System.in);
  
  static long mod = (long)(1e9)+ 7;
  static int max_num=(int)1e5+5;
  static boolean isPrime(long 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 (long i = 5; i * i <= n; i = i + 6)
            if (n % i == 0 || n % (i + 2) == 0)
                return false;
  
        return true;
    }
 public static void main (String[] args) throws java.lang.Exception
   {
//	try{
	    /*
	        int n=sc.nextInt();
	        Collections.sort(al,Collections.reverseOrder());
	     
	        long n=sc.nextLong();
	        String s=sc.next();
	        StringBuilder sb=new StringBuilder();
	     */
		  int t = sc.nextInt();
		  while(t-->0)
		    { 
		       int k=sc.nextInt();
		       String s=sc.next();
		       k=s.length();
		       long  a[]=new long[k];
		       
		       for(int i=0;i<k;i++)
		        a[i]=(long)s.charAt(i)-'0';
		       
		       int len=1;
		       boolean f=false;
		       long dig=0;
		       long ans=0;
		       while(true)
		        {
		          if(len==1)
		           {
		             for(int i=0;i<k;i++)
		               {
		                  
		                  long num=a[i];
		                  if(!isPrime(num))
		                   {
		                     f=true;
		                     dig=len;
		                     ans=num;
		                     break;
		                   }
		               }
		           }
		          if(f)
		           break;
		          
		          if(len==2)
		           {
		              for(int i=0;i<k;i++)
		                {
		                   long num=a[i];
		                   for(int j=0;j<k;j++)
		                     {
		                        if(i!=j)
		                         {
		                            long num2=num*10+a[j];
		                             if(!isPrime(num2))
		                              {
		                               f=true;
		                               dig=len;
		                               ans=num2;
		                               break;
		                              }
		                         }
		                     }
		                   if(f)
		                    break;
		                }
		           }
		          if(f)
		           break;
		          
		           if(len==3)
		           {
		              for(int i=0;i<k;i++)
		                {
		                   long num=a[i];
		                   for(int j=0;j<k;j++)
		                     {
		                        if(i!=j)
		                         {
		                            long num2=num*10l+a[j];
		                            for(int l=0;l<k;l++)
		                            {
		                               long max2=Math.max(Math.max(i,j),l);
		                               long min2=Math.min(Math.min(i,j),l);
		                               if(max2==min2)
		                                continue;
		                                
		                              long num3=num2*10l+a[l];
		                               if(!isPrime(num3))
		                              {
		                               f=true;
		                               dig=len;
		                               ans=num3;
		                               break;
		                              }
		                            }
		                         }
		                       if(f)
		                        break;
		                     }
		                   if(f)
		                    break;
		                }
		           }
		          if(f)
		           break;
		          
		           if(len==4)
		           {
		              for(int i=0;i<k;i++)
		                {
		                   long num=a[i];
		                   for(int j=0;j<k;j++)
		                     {
		                        if(i!=j)
		                         {
		                            long num2=num*10l+a[j];
		                            for(int l=0;l<k;l++)
		                            {
		                               long max=Math.max(Math.max(i,j),l);
		                               long min=Math.min(Math.min(i,j),l);
		                               if(max==min)
		                                continue;
		                                
		                              long num3=num2*10l+a[l];
		                              for(int m=0;m<k;m++)
		                               {
		                                  long max3=Math.max(Math.max(Math.max(i,j),l),m);
		                                  long min3=Math.min(Math.min(Math.min(i,j),l),m);
		                                  if(max3==min3)
		                                     continue;
		                                     
		                                  long num4=num3*10l+a[m];
		                                  if(!isPrime(num4))
		                                    {
		                                     f=true;
		                                    dig=len;
		                                    ans=num4;
		                                     break;
		                                    } 
		                                  
		                               }
		                              if(f)
		                                   break;
		                            }
		                         }
		                       if(f)
		                        break;
		                     }
		                   if(f)
		                    break;
		                }
		           }
		          if(f)
		           break;
		           
		           if(len==5)
		           {
		              for(int i=0;i<k;i++)
		                {
		                   long num=a[i];
		                   for(int j=0;j<k;j++)
		                     {
		                        if(i!=j)
		                         {
		                            long num2=num*10l+a[j];
		                            for(int l=0;l<k;l++)
		                            {
		                               long max=Math.max(Math.max(i,j),l);
		                               long min=Math.min(Math.min(i,j),l);
		                               if(max==min)
		                                continue;
		                                
		                              long num3=num2*10l+a[l];
		                              for(int m=0;m<k;m++)
		                               {
		                                  long max3=Math.max(Math.max(Math.max(i,j),l),m);
		                                  long min3=Math.min(Math.min(Math.min(i,j),l),m);
		                                  if(max3==min3)
		                                     continue;
		                                     
		                                  long num4=num3*10l+a[m];
		                                  for(int n=0;n<k;n++)
		                                 {
		                                  long max33=Math.max(Math.max(Math.max(Math.max(i,j),l),m),n);
		                                  long min33=Math.min(Math.min(Math.min(Math.min(i,j),l),m),n);
		                                  if(max33==min33)
		                                     continue;
		                                    long num5=num4*10l+a[n];
		                                    if(!isPrime(num5))
		                                    {
		                                     f=true;
		                                    dig=len;
		                                    ans=num5;
		                                     break;
		                                    } 
		                                 }
		                                if(f)
		                                 break;
		                                  
		                               }
		                              if(f)
		                                   break;
		                            }
		                         }
		                       if(f)
		                        break;
		                     }
		                   if(f)
		                    break;
		                }
		           }
		          if(f)
		           break;
		          
		           if(len==6)
		           {
		              for(int i=0;i<k;i++)
		                {
		                   long num=a[i];
		                   for(int j=0;j<k;j++)
		                     {
		                        if(i!=j)
		                         {
		                            long num2=num*10l+a[j];
		                            for(int l=0;l<k;l++)
		                            {
		                               long max=Math.max(Math.max(i,j),l);
		                               long min=Math.min(Math.min(i,j),l);
		                               if(max==min)
		                                continue;
		                                
		                              long num3=num2*10l+a[l];
		                              for(int m=0;m<k;m++)
		                               {
		                                  long max3=Math.max(Math.max(Math.max(i,j),l),m);
		                                  long min3=Math.min(Math.min(Math.min(i,j),l),m);
		                                  if(max3==min3)
		                                     continue;
		                                     
		                                  long num4=num3*10l+a[m];
		                                  for(int n=0;n<k;n++)
		                                 {
		                                  long max33=Math.max(Math.max(Math.max(Math.max(i,j),l),m),n);
		                                  long min33=Math.min(Math.min(Math.min(Math.min(i,j),l),m),n);
		                                  if(max33==min33)
		                                     continue;
		                                    long num5=num4*10l+a[n];
		                                    for(int o=0;o<k;o++)
		                                    {
		                                  long max32=Math.max(Math.max(Math.max(Math.max(Math.max(i,j),l),m),n),o);
		                                  long min32=Math.min(Math.min(Math.min(Math.min(Math.min(i,j),l),m),n),o);
		                                  if(max32==min32)
		                                     continue;
		                                  long num6=num5*10l+a[o];
		                                  if(!isPrime(num6))
		                                    {
		                                     f=true;
		                                    dig=len;
		                                    ans=num6;
		                                     break;
		                                    } 
		                                    }
		                                   if(f)
		                                    break;
		                                 }
		                                if(f)
		                                 break;
		                                  
		                               }
		                              if(f)
		                                   break;
		                            }
		                         }
		                       if(f)
		                        break;
		                     }
		                   if(f)
		                    break;
		                }
		           }
		          if(f)
		           break;
		          
		          
		          len++;
		        }
		      
		      out.println(dig);
		      out.println(ans);
		    }
	     out.flush();
	     out.close();
// 	   }     
// 	catch(Exception e)
// 		 {}
	}
 
 /*
   ...SOLUTION ENDS HERE...........SOLUTION ENDS HERE...
 */
 
static void flag(boolean flag)
   {
       out.println(flag ? "YES" : "NO");
       out.flush();
   }
   
 /*                     
    Map<Long,Long> map=new HashMap<>();
             for(int i=0;i<n;i++)
               {
                  if(!map.containsKey(a[i]))
                   map.put(a[i],1);
                 else
                   map.replace(a[i],map.get(a[i])+1);
               }
     
    Set<Map.Entry<Long,Long>> hmap=map.entrySet();
             for(Map.Entry<Long,Long> data : hmap)
               {
          
               }
       
   */
   
//  static class Pair
//    {
//       int x,y;
//       Pair(int x,int y)
//        {
//           this.x=x;
//           this.y=y;
//        }
//    }

//  Arrays.sort(p, new Comparator<Pair>()
//     {
//        @Override
//        public int compare(Pair o1,Pair o2)
//        {
//           if(o1.x>o2.x) return 1;
//           else if(o1.x==o2.x)
//             {
//                if(o1.y>o2.y) return 1;
//                else return -1;
//              }
//           else return -1;
//       }});

static void print(int a[])
  {
     int n=a.length;
     for(int i=0;i<n;i++)
       {
          out.print(a[i]+" ");
       }
     out.println();
     out.flush();
  }
static void print(long a[])
  {
     int n=a.length;
     for(int i=0;i<n;i++)
       {
          out.print(a[i]+" ");
       }
     out.println();
     out.flush();
  } 
static void print_int(ArrayList<Integer> al)
  {
     int si=al.size();
     for(int i=0;i<si;i++)
       {
          out.print(al.get(i)+" ");
       }
     out.println();
     out.flush();
  }
static void print_long(ArrayList<Long> al)
  {
     int si=al.size();
     for(int i=0;i<si;i++)
       {
          out.print(al.get(i)+" ");
       }
     out.println();
     out.flush();
  }
  
static int LowerBound(int a[], int x) 
 { // x is the target value or key
  int l=-1,r=a.length;
  while(l+1<r) {
    int m=(l+r)>>>1;
    if(a[m]>=x) r=m;
    else l=m;
  }
  return r;
}

 static int UpperBound(int a[], int x)
  {// x is the key or target value
    int l=-1,r=a.length;
    while(l+1<r) {
       int m=(l+r)>>>1;
       if(a[m]<=x) l=m;
       else r=m;
    }
    return l+1;
 }
static void DFS(ArrayList<Integer> graph[],boolean[] visited, int u)
	{
        visited[u]=true;
        int v=0;
        for(int i=0;i<graph[u].size();i++)
        {
            v=graph[u].get(i);
            if(!visited[v])
               DFS(graph,visited,v);
        }
  } 
static boolean[] prime(int num)
 {
	      boolean[] bool = new boolean[num];
		     
		      for (int i = 0; i< bool.length; i++) {
		         bool[i] = true;
		      }
		      for (int i = 2; i< Math.sqrt(num); i++) {
		         if(bool[i] == true) {
		            for(int j = (i*i); j<num; j = j+i) {
		               bool[j] = false;
		            }
		         }
		      }
		      if(num >= 0) {
		    	  bool[0] = false;
		    	  bool[1] = false;
		      }
		      
		      return bool;
  }
static long nCr(long a,long b,long mod)
{
 return (((fact[(int)a] * modInverse(fact[(int)b],mod))%mod * modInverse(fact[(int)(a - b)],mod))%mod + mod)%mod;
}
static long fact[]=new long[max_num];
static void fact_fill()
 {
   long fact[]=new long[max_num];
   fact[0]=1l;
	for(int i=1;i<max_num;i++)
	  {
	    fact[i]=(fact[i-1]*(long)i);
	    if(fact[i]>=mod)
	      fact[i]%=mod;
	  } 
 }
static long modInverse(long a, long m)
	    {
	       return power(a, m - 2, m);
	    }
static long power(long x, long y, long m)
	    {
	        if (y == 0)
	            return 1;
	        long p = power(x, y / 2, m) % m;
	        p = (long)((p * (long)p) % m);
	        if (y % 2 == 0)
	            return p;
	        else
	            return (long)((x * (long)p) % m);
	    }
static long sum_array(int a[])
 {
    int n=a.length;
    long sum=0;
    for(int i=0;i<n;i++)
     sum+=a[i];
    return sum;
 }
static long sum_array(long a[])
 {
    int n=a.length;
    long sum=0;
    for(int i=0;i<n;i++)
     sum+=a[i];
    return sum;
 }

static void sort(int[] a) 
   {
		ArrayList<Integer> l=new ArrayList<>();
		for (int i:a) l.add(i);
		Collections.sort(l);
		for (int i=0; i<a.length; i++) a[i]=l.get(i);
	}
static void sort(long[] a) 
   {
		ArrayList<Long> l=new ArrayList<>();
		for (long i:a) l.add(i);
		Collections.sort(l);
		for (int i=0; i<a.length; i++) a[i]=l.get(i);
	}

static void reverse_array(int a[])
 {
    int n=a.length;
    int i,t; 
    for (i = 0; i < n / 2; i++) { 
            t = a[i]; 
            a[i] = a[n - i - 1]; 
            a[n - i - 1] = t; 
        } 
 }
static void reverse_array(long a[])
 {
    int n=a.length;
    int i; long t; 
    for (i = 0; i < n / 2; i++) { 
            t = a[i]; 
            a[i] = a[n - i - 1]; 
            a[n - i - 1] = t; 
        } 
 }

static long gcd(long a, long b) 
    { 
        if (a == 0) 
            return b; 
          
        return gcd(b%a, a); 
    } 
static int gcd(int a, int b) 
    { 
        if (a == 0) 
            return b; 
          
        return gcd(b%a, a); 
    } 

   static class FastReader{
 
        byte[] buf = new byte[2048];
        int index, total;
        InputStream in;
 
        FastReader(InputStream is) {
            in = is;
        }
 
        int scan() throws IOException {
            if (index >= total) {
                index = 0;
                total = in.read(buf);
                if (total <= 0) {
                    return -1;
                }
            }
            return buf[index++];
        }
 
        String next() throws IOException {
            int c;
            for (c = scan(); c <= 32; c = scan());
            StringBuilder sb = new StringBuilder();
            for (; c > 32; c = scan()) {
                sb.append((char) c);
            }
            return sb.toString();
        }
 
        int nextInt() throws IOException {
            int c, val = 0;
            for (c = scan(); c <= 32; c = scan());
            boolean neg = c == '-';
            if (c == '-' || c == '+') {
                c = scan();
            }
            for (; c >= '0' && c <= '9'; c = scan()) {
                val = (val << 3) + (val << 1) + (c & 15);
            }
            return neg ? -val : val;
        }
 
        long nextLong() throws IOException {
            int c;
            long val = 0;
            for (c = scan(); c <= 32; c = scan());
            boolean neg = c == '-';
            if (c == '-' || c == '+') {
                c = scan();
            }
            for (; c >= '0' && c <= '9'; c = scan()) {
                val = (val << 3) + (val << 1) + (c & 15);
            }
            return neg ? -val : val;
        }
    }
   
    static class Reader 
    { 
        final private int BUFFER_SIZE = 1 << 16; 
        private DataInputStream din; 
        private byte[] buffer; 
        private int bufferPointer, bytesRead; 
  
        public Reader() 
        { 
            din = new DataInputStream(System.in); 
            buffer = new byte[BUFFER_SIZE]; 
            bufferPointer = bytesRead = 0; 
        } 
  
        public Reader(String file_name) throws IOException 
        { 
            din = new DataInputStream(new FileInputStream(file_name)); 
            buffer = new byte[BUFFER_SIZE]; 
            bufferPointer = bytesRead = 0; 
        } 
  
        public String readLine() throws IOException 
        { 
            byte[] buf = new byte[64]; // line length 
            int cnt = 0, c; 
            while ((c = read()) != -1) 
            { 
                if (c == '\n') 
                    break; 
                buf[cnt++] = (byte) c; 
            } 
            return new String(buf, 0, cnt); 
        } 
  
        public int nextInt() throws IOException 
        { 
            int ret = 0; 
            byte c = read(); 
            while (c <= ' ') 
                c = read(); 
            boolean neg = (c == '-'); 
            if (neg) 
                c = read(); 
            do
            { 
                ret = ret * 10 + c - '0'; 
            }  while ((c = read()) >= '0' && c <= '9'); 
  
            if (neg) 
                return -ret; 
            return ret; 
        } 
  
        public long nextLong() throws IOException 
        { 
            long ret = 0; 
            byte c = read(); 
            while (c <= ' ') 
                c = read(); 
            boolean neg = (c == '-'); 
            if (neg) 
                c = read(); 
            do { 
                ret = ret * 10 + c - '0'; 
            } 
            while ((c = read()) >= '0' && c <= '9'); 
            if (neg) 
                return -ret; 
            return ret; 
        } 
  
        public double nextDouble() throws IOException 
        { 
            double ret = 0, div = 1; 
            byte c = read(); 
            while (c <= ' ') 
                c = read(); 
            boolean neg = (c == '-'); 
            if (neg) 
                c = read(); 
  
            do { 
                ret = ret * 10 + c - '0'; 
            } 
            while ((c = read()) >= '0' && c <= '9'); 
  
            if (c == '.') 
            { 
                while ((c = read()) >= '0' && c <= '9') 
                { 
                    ret += (c - '0') / (div *= 10); 
                } 
            } 
  
            if (neg) 
                return -ret; 
            return ret; 
        } 
  
        private void fillBuffer() throws IOException 
        { 
            bytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE); 
            if (bytesRead == -1) 
                buffer[0] = -1; 
        } 
  
        private byte read() throws IOException 
        { 
            if (bufferPointer == bytesRead) 
                fillBuffer(); 
            return buffer[bufferPointer++]; 
        } 
  
        public void close() throws IOException 
        { 
            if (din == null) 
                return; 
            din.close(); 
        } 
    }
  static  PrintWriter out=new PrintWriter(System.out);
  static int int_max=Integer.MAX_VALUE;
  static int int_min=Integer.MIN_VALUE;
  static long long_max=Long.MAX_VALUE;
  static long long_min=Long.MIN_VALUE;
}
// Thank You !