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D. Changing a String

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputThere 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

Codeforces (c) Copyright 2010-2018 Mike Mirzayanov

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