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.*;
import java.io.*;
        public class uu {
        	static char [] x,y;
        	static Integer[][] memo;
        	public static void main(String[] args) throws IOException, InterruptedException {
        		Scanner sc =new Scanner(System.in);
        		PrintWriter pw =new PrintWriter(System.out);
        		x=sc.next().toCharArray();
        		y=sc.next().toCharArray();
        		memo =new Integer[x.length+3][y.length+3];
        		System.out.println(dp(0, 0));
//        		for (int i=0;i<x.length;++i)
//        			System.out.println(Arrays.toString(memo[i]));
        		trace(0, 0);
        		pw.close();
        	}
        	static final int g=(int)1e9;
        	public static int dp(int i ,int j) {
        		if (i==x.length&&j==y.length)
        			return memo[i][j]=0;
        		if (i>x.length||j>y.length)
        			return g;
        		if (memo[i][j]!=null)
        			return memo[i][j];
        		int ins=(j==y.length)?g:1+dp(i, j+1);
        		int del=(i==x.length)?g:1+dp(i+1, j);
        		int rep=(i==x.length||j==y.length)?g:((x[i]==y[j])?0:1)+dp(i+1, j+1);
        		return memo[i][j]=Math.min(ins, Math.min(del, rep));
        	}
        	static int index=1;
        	public static void trace(int i ,int j) {
        		if (i==x.length&&j==y.length)
        			return;
        		if (dp(i, j)==1+dp(i, j+1)) {
        			System.out.println("INSERT "+(index++)+" "+y[j]);
        			trace(i, j+1);
        		}else if (dp(i, j)==1+dp(i+1, j)) {
        			System.out.println("DELETE "+(index));
        			trace(i+1, j);
        		}else if (dp(i, j)==1+dp(i+1, j+1)) {
        			System.out.println("REPLACE "+(index++)+" "+y[j]);
        			trace(i+1, j+1);
        		}else {
        			++index;
        			trace(i+1, j+1);
        		}
        	}
//        	public static void trace(int i ,int j) {
//        		//System.out.println(i+" "+j);
//        		if (i==x.length&&j==y.length)
//        			return;
//        		if (i==x.length) {
//        			System.out.println("INSERT "+(j+1)+" "+y[j]);
//        			trace(i, j+1);
//        		}else if (j==y.length) {
//        			System.out.println("DELETE "+(i+1));
//        			trace(i+1, j);
//        		}
//        		else if (x[i]==y[i]) {
//        			trace(i+1, j+1);
//        		}
//        		else {
//        			int rep=dp(i+1, j+1);
//        			if (x.length>y.length) {
//        				int del=dp(i+1,j);
//        				if (del>rep) {
//        					System.out.println("REPLACE "+(i+1)+" "+y[i]);
//        					trace(i+1, j+1);
//        				}else {
//        					System.out.println("DELETE "+(i+1));
//        					trace(i+1, j);
//        				}
//        			}else {
//        				int ins =dp(i, j+1);
//        				//System.out.println(ins+" "+rep+" "+i+" "+j);
//        				if (ins>=rep) {
//        					System.out.println("REPLACE "+(i+1)+" "+y[i]);
//        					trace(i+1, j+1);
//        				}else {
//        					System.out.println("INSERT "+(j+1)+" "+y[j]);
//        					trace(i, j+1);
//        				}
//        			}
//        		}
//        	}
//        	public static void trace (int i ,int j) {
//        		if (i==x.length&&j==y.length)
//        			return;
//        		if (i==x.length) {
//        			System.out.println("DELETE "+(j+1)+" "+y[j]);
//        			++j;
//        		}
//        		if (j==y.length) {
//        			System.out.println("INSERT "+(i+1)+" "+y[j]);
//        			++i;
//        		}
//        		if (x[i]==y[j]) {
//        			trace(i+1, j+1);
//        			i++;j++;
//        		}
//        		else {
//        		int del=dp(i, j+1);
//        		int insert=dp(i+1, j);
//        		int replace =dp(i+1, j+1);
//        		System.out.println(del+" "+insert+" "+replace);
//        		if (del<insert) {
//        			if (del<replace) {
//        				System.out.println("DELETE " +(j+1)+" "+y[j]);
//        				++j;
//        			}else {
//        				System.out.println("REPLACE "+(j+1)+" "+y[j]);
//        				++i;
//        				++j;
//        			}
//        		}else {
//        			if (insert<replace) {
//        				System.out.println("INSERT "+(j+1)+" "+y[j]);
//        			}else {
//        				System.out.println("REPLACE "+(j+1)+" "+y[j]);
//        				++i;
//        				++j;
//					}
//        		}
//        		trace(i, j);
//        		}
//        	}
              static int mod(int x,int y)
            {
                if(x<0)
                    x=x+(-x/y+1)*y;
                return x%y;
            }
    		static long gcd(long a, long b) 
    		{ 
    		    if (a == 0) 
    		        return b; 
    		    return gcd(b % a, a); 
    		}
			static class Scanner {
				StringTokenizer stringTokenizer;
				BufferedReader bfBufferedReader;
				public Scanner(InputStream system) {
					bfBufferedReader=new BufferedReader(new InputStreamReader( system));
				}
				 public Scanner(String file) throws Exception {
			            bfBufferedReader = new BufferedReader(new FileReader( file));
			        }			 
			        public String next() throws IOException {
			            while (stringTokenizer == null || !stringTokenizer.hasMoreTokens())
			                stringTokenizer = new StringTokenizer( bfBufferedReader.readLine());
			            return stringTokenizer.nextToken();
			        }
			 
			        public String nextLine() throws IOException {
			            return bfBufferedReader.readLine();
			        }
			 
			        public int nextInt() throws IOException {
			            return Integer.parseInt(next());
			        }
			 
			        public double nextDouble() throws IOException {
			            return Double.parseDouble(next());
			        }
			 
			        public char nextChar() throws IOException {
			            return next().charAt(0);
			        }
			 
			        public Long nextLong() throws IOException {
			            return Long.parseLong(next());
			        }
			 
			        public boolean ready() throws IOException {
			            return bfBufferedReader.ready();
			        }
			 
			        public void waitForInput() throws InterruptedException {
			            Thread.sleep(3000);
			        }
			    }
        }