Erelong Leha was bored by calculating of the greatest common divisor of two factorials. Therefore he decided to solve some crosswords. It's well known that it is a very interesting occupation though it can be very difficult from time to time. In the course of solving one of the crosswords, Leha had to solve a simple task. You are able to do it too, aren't you?

Leha has two strings s and t. The hacker wants to change the string s at such way, that it can be found in t as a substring. All the changes should be the following: Leha chooses one position in the string s and replaces the symbol in this position with the question mark "?". The hacker is sure that the question mark in comparison can play the role of an arbitrary symbol. For example, if he gets string s="ab?b" as a result, it will appear in t="aabrbb" as a substring.

Guaranteed that the length of the string s doesn't exceed the length of the string t. Help the hacker to replace in s as few symbols as possible so that the result of the replacements can be found in t as a substring. The symbol "?" should be considered equal to any other symbol.

Input

The first line contains two integers n and m (1 ≤ n ≤ m ≤ 1000) — the length of the string s and the length of the string t correspondingly.

The second line contains n lowercase English letters — string s.

The third line contains m lowercase English letters — string t.

Output

In the first line print single integer k — the minimal number of symbols that need to be replaced.

In the second line print k distinct integers denoting the positions of symbols in the string s which need to be replaced. Print the positions in any order. If there are several solutions print any of them. The numbering of the positions begins from one.

Examples

Input

3 5
abc
xaybz


Output

2
2 3 


Input

4 10
abcd
ebceabazcd


Output

1
2 
import java.util.*;
import java.io.*;
public class Main {
 
	static ArrayList<Integer> adj[];
	static char color[];
	static boolean b[],visited[],possible;
	static Map<Integer,HashSet<Integer>> s;
	static int totalnodes,colored;
	static int count[];
	static long sum[];
	public static void main(String[] args) throws IOException {
		
	     
		in=new InputReader(System.in);
		w=new PrintWriter(System.out);
       int n=in.nextInt(),m=in.nextInt();
       String s=in.nextLine();
       String t=in.nextLine();
       
       if(t.contains(s))
       {
    	   w.println("0");
       }
       else
       {
            int min=Integer.MAX_VALUE;
            String ms=null;
           for(int j=0;j<=m-n;j++)
            {
        	   int c=0;
     		  String cs="";
              for(int i=j;i<j+n;i++)
              {
            		  if(s.charAt(i-j)!=t.charAt(i))
            		  {
            			  c++;
            			  cs+=(i-j+1);
            			  cs+=" ";
            		  }
              }
              if(c<min)
    		  {
    			  min=c;
    			  ms=cs;
    		  }
    		  //w.println(c);
    		  //w.println(cs);
            }
           w.println(min);
        	   w.print(ms);
            
       }
		w.close();			
		}
	public static String[] subString(String s, int n) 
	{
	    String[] st =new String[(n*n+n)/2];
	    for(int i=0;i<st.length;i++)
	    	st[i]="";
	    int l=0;
	    for (int len = 1; len <= n; len++) 
	    {    
	        // Pick ending point
	        for (int i = 0; i <= n - len; i++) 
	        {
	            //  Print characters from current
	            // starting point to current ending
	            // point.  
	            int j = i + len - 1;            
	            for (int k = i; k <= j; k++) 
	                st[l]+=s.charAt(k);
	      //w.println(st[l]);
	            l++;
	            //cout << endl;
	        }
	    }
	    return st;
	}
	  public static long factorial(long n)
	    {
	        long res = 1, i;
	        for (i=2; i<=n; i++)
	            res *= i;
	        return res;
	    }
	
   
	public static int factors(int n,int start){
		int count = 0;
		int i;
		for(i=1;i*i<n;i++)
			if(n%i == 0){
				if(i>start)	count++;
				if(n/i > start)	count++;
			}
		if(i*i == n && i>start)	count++;
		return count;
	}


 	public static int isPrime(int n){
	    int i;

	    if (n==2)
	        return 1;

	    if (n%2==0)
	        return 0;

	    for (i=3;i<=Math.sqrt(n);i+=2)
	        if (n%i==0)
	            return 0;

	    return 1;
	}

	
	static InputReader in;
	static PrintWriter w;
	public static void seive(long n){
		b = new boolean[(int) (n+1)];
	Arrays.fill(b, true);
		for(int i = 2;i*i<=n;i++){
			if(b[i]){
				sum[i]=count[i];
			//	System.out.println(sum[i]+" wf");
				for(int p = 2*i;p<=n;p+=i){
					b[p] = false;
					sum[i]+=count[p];  
					//System.out.println(sum[i]);
				}
			}
		
		}
	}
	static class Pair implements Comparable<Pair> {
		int edge;
		int c;
		public Pair(){
			
		}
		public Pair(int u, int v) {
			this.edge = u;
			this.c= v;
			
		}
		public int compareTo(Pair other) {
			
				return 0;
		}
		
		/*public String toString() {
			return "[u=" + u + ", v=" + v + "]";
		}*/
	}
	static class Node2{
		Node2 left = null;
		Node2 right = null;
		Node2 parent = null;
		int data;
	}
	
	//binaryStree
	static class BinarySearchTree{
		Node2 root = null;
		int height = 0;
		int max = 0;
		int cnt = 1;
		ArrayList<Integer> parent = new ArrayList<Integer>();
		HashMap<Integer, Integer> hm = new HashMap<Integer, Integer>();
		public void insert(int x){
			Node2 n = new Node2();
			n.data = x;
			if(root==null){
				root = n;
			}
			else{
				Node2 temp = root,temp2 = null;
				while(temp!=null){
					temp2 = temp;
					if(x>temp.data) temp = temp.right;
					else temp = temp.left;
				}
				if(x>temp2.data) temp2.right = n;
				else temp2.left = n;
				n.parent = temp2;
				parent.add(temp2.data);
			}
		}
		public Node2 getSomething(int x, int y, Node2 n){
			if(n.data==x || n.data==y) return n;
			else if(n.data>x && n.data<y) return n;
			else if(n.data<x && n.data<y) return getSomething(x,y,n.right);
			else return getSomething(x,y,n.left);
		}
		public Node2 search(int x,Node2 n){
			if(x==n.data){
				max = Math.max(max, n.data);
				return n;
			}
			if(x>n.data){
				max = Math.max(max, n.data);
				return search(x,n.right);
			}
			else{
				max = Math.max(max, n.data);
				return search(x,n.left);
			}
		}
		public int getHeight(Node2 n){
			if(n==null) return 0;
			height = 1+ Math.max(getHeight(n.left), getHeight(n.right));
			return height;
		}
	}
public static void debug(Object... o) {
	System.out.println(Arrays.deepToString(o));
}
 
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;
}
 
public static long max(long x, long y, long z){
		if(x>=y && x>=z) return x;
		if(y>=x && y>=z) return y;
		return z;
	}
	static int[] sieve(int n,int[] arr)
	{
	for(int i=2;i*i<=n;i++)
	{
		if(arr[i]==0)
		{
			for(int j=i*2;j<=n;j+=i)
				arr[j]=1;
		}
	}
	return arr;
	}
 
 
 
 
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 int[] nextIntArray(int n) {
	 return nextIntArray(n, 0);
	    }
	    
public int[] nextIntArray(int n, int off) {
	 int[] arr = new int[n + off];
	   for (int i = 0; i < n; i++) {
	    arr[i + off] = nextInt();
	    }
	    return arr;
	    }
	    
public long[] nextLongArray(int n) {
return nextLongArray(n, 0);
	    }
        
	public long[] nextLongArray(int n, int off) {
	 long[] arr = new long[n + off];
	 for (int i = 0; i < n; i++) {
		  arr[i + off] = nextLong();
		 }
 return arr;
	}
 
 
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);
}
}
	
}