There is a sequence of numbers of length (), with each number being either 1, 2, or 3. Can you guess this sequence?

#### Interaction

This is an interactive problem. You should keep outputting numbers between 1 and 3, inclusive and reading a line of input after each output. The line will be `NO`

if your guess for the current position is incorrect or `YES`

if you guessed the current position correctly. If you guessed the whole sequence correctly, you will receive a single line `DONE`

, and you should terminate your program then.

After each time you output a number, you might need to flush the output. In Python, you can do this with `sys.stdout.flush()`

(after you `import sys`

).

#### Sample Interaction

`>>>`

denotes your output: don't actually print this out.

```
>>> 1
YES
>>> 3
NO
>>> 2
YES
>>> 1
NO
>>> 2
NO
>>> 3
YES
DONE
```

#### Explanation

The sequence is 1, 2, 3.

#### Note

There is only one input file, and the length of the sequence is exactly 15. Your score will decrease with more wrong guesses, so guess as wisely as you can given that you have no information whatsoever about the secret sequence (or... do you?).

## Comments

Silly me. I should learn to read the English language :). It is solvable! Nice problem.

I'm having a hard time understanding the question. I thought it was asking me to create a "game" where the user inputs a number and if the user guesses the right number, it moves on to the next line.

Perhaps I'm failing the time limit or my understanding of the question is way off.

It's kind of a riddle question.

Judge is now fixed; all submissions have been rejudged.

randoms don't work?

Do not submit infinite loops or programs

in Javathat do not flush for this problem. If you're not sure, you're better off not submitting until we fix this issue.The issue has been resolved.

I get the feeling that this problem is somehow related to Maplestory...

Yeah, Ludibrum Party Quest x)

All those years of Maple ended up paying off x)

jk, scrub me never got to Ludi. I googled a walkthrough forum. x)