Problem: There is a string s, consisting of capital Latin letters. Let's denote its current length as |s|. During one move it is allowed to apply one of the following operations to it: 

  * INSERT pos ch — insert a letter ch in the string s in the position pos (1 ≤ pos ≤ |s| + 1, A ≤ ch ≤ Z). The letter ch becomes the pos-th symbol of the string s, at that the letters shift aside and the length of the string increases by 1. 
  * DELETE pos — delete a character number pos (1 ≤ pos ≤ |s|) from the string s. At that the letters shift together and the length of the string decreases by 1. 
  * REPLACE pos ch — the letter in the position pos of the line s is replaced by ch (1 ≤ pos ≤ |s|, A ≤ ch ≤ Z). At that the length of the string does not change. 



Your task is to find in which minimal number of moves one can get a t string from an s string. You should also find the sequence of actions leading to the required results.

Input

The first line contains s, the second line contains t. The lines consist only of capital Latin letters, their lengths are positive numbers from 1 to 1000.

Output

In the first line print the number of moves k in the given sequence of operations. The number should be the minimal possible one. Then print k lines containing one operation each. Print the operations in the format, described above. If there are several solutions, print any of them.

Examples

Input

ABA
ABBBA


Output

2
INSERT 3 B
INSERT 4 B


Input

ACCEPTED
WRONGANSWER


Output

10
REPLACE 1 W
REPLACE 2 R
REPLACE 3 O
REPLACE 4 N
REPLACE 5 G
REPLACE 6 A
INSERT 7 N
INSERT 8 S
INSERT 9 W
REPLACE 11 R

Solution (in JAVA):

Solution:
import java.util.Arrays;
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.util.StringTokenizer;

public class Main{

    static SScanner scan= new SScanner(System.in);
    static String s;
    static String t;
    static long [][]dp;
    static StringBuilder sb;

    public static void main(String [] args) throws IOException {
        s= scan.nextLine();
        t= scan.nextLine();

         if(s.equals(t)){
             System.out.print(0);
             return;
         }
        dp = new long[s.length()][t.length()];
        for(long[] longs: dp) Arrays.fill(longs, -1);
        System.out.println(minChange(0,0));

        sb= new StringBuilder();
        trace(0,0,0);

        sb.deleteCharAt(sb.length() - 1);
        System.out.print(sb);
    }

    private static long minChange(int i, int j) {
        if(i == s.length()) // in this case i reach to the end of s and you have to insert elements
            return t.length() - j;  // # elements you will insert

        if(j == t.length()) // in this case j reach to the end of t and you should delete the remaining elements in s
            return s.length() - i; // # elements you will delete

        if(dp[i][j] != -1)
            return dp[i][j];

        if(s.charAt(i) == t.charAt(j))
            return dp[i][j] = minChange(i + 1, j+ 1); // you don't have to make any move



        long insert= 1 +minChange(i, j+1); // you don't add any char actually then you will not move the cursor
        long delete= 1 + minChange(i + 1, j); //ignore the current pos
        long replace= 1 + minChange(i + 1, j+ 1);

        return dp[i][j]= Math.min(replace, Math.min(delete, insert));
    }


    static void trace(int i, int j, int currentPos){
        if((i == s.length() && j == t.length()))
            return;

        if(i == s.length()){
            sb.append("INSERT ").append(i + currentPos + 1).append(" ").append(t.charAt(j)).append("\n");
            trace(i, j+ 1, currentPos+ 1);
        }


        else if(j == t.length()){
            sb.append("DELETE ").append(i + currentPos + 1).append("\n");//.append(" ").append(t.charAt(j));
            trace(i + 1, j, currentPos- 1);
        }

        else if(s.charAt(i) == t.charAt(j)) {
            trace(i + 1, j + 1, currentPos);
        }

        //insert
        else if(minChange(i, j)== 1 + minChange(i , j+ 1)){
            sb.append("INSERT ").append(i + currentPos + 1).append(" ").append(t.charAt(j)).append("\n");
            trace(i, j+ 1, currentPos+ 1);
        }

        else if(minChange(i, j) == minChange(i + 1, j) + 1){
            sb.append("DELETE ").append(i + currentPos + 1).append("\n");//.append(" ").append(t.charAt(j));
            trace(i + 1, j, currentPos- 1);
        }
        else if(minChange(i, j) == minChange(i + 1, j + 1) + 1){
            sb.append("REPLACE ").append(i + currentPos + 1).append(" ").append(t.charAt(j)).append("\n");
            trace(i + 1, j+ 1, currentPos);
        }

    }
}

class SScanner {
    StringTokenizer st;
    BufferedReader br;

    public SScanner(InputStream s) {
        br = new BufferedReader(new InputStreamReader(s));
    }

    public String next() throws IOException {
        while (st == null || !st.hasMoreTokens()) {
            String p= br.readLine();
            if(p == null)
                throw new IOException();
            st = new StringTokenizer(p);

        }

        return st.nextToken();
    }

    public int nextInt() throws IOException {
        return Integer.parseInt(next());
    }

    public long nextLong() throws IOException {
        return Long.parseLong(next());
    }

    public String nextLine() throws IOException {
        return br.readLine();
    }

    public double nextDouble() throws IOException {
        String x = next();
        StringBuilder sb = new StringBuilder("0");
        double res = 0, f = 1;
        boolean dec = false, neg = false;
        int start = 0;
        if (x.charAt(0) == '-') {
            neg = true;
            start++;
        }
        for (int i = start; i < x.length(); i++)
            if (x.charAt(i) == '.') {
                res = Long.parseLong(sb.toString());
                sb = new StringBuilder("0");
                dec = true;
            } else {
                sb.append(x.charAt(i));
                if (dec)
                    f *= 10;
            }
        res += Long.parseLong(sb.toString()) / f;
        return res * (neg ? -1 : 1);
    }

    public boolean ready() throws IOException {
        return br.ready();
    }


}