### Problem Statement

$N$ players numbered $1$ to $N$ will play a soccer game.  
When a player commits an offense, that player will receive a yellow card or a red card.  
A player who satisfies one of the following conditions will be removed from the game.

-   Accumulates two yellow cards.
-   Receives a red card.

Once a player is removed, that player will no longer receive any cards.

You will watch this game. Initially, the players have not received any cards.  
There will be $Q$ events. Correctly answer the questions asked in the events.  
There are three kinds of events, which are given in the format `c x` from the input, where $c$ is $1$, $2$, or $3$. The events are as follows.

-   `1 x`: Player $x$ receives a yellow card.
-   `2 x`: Player $x$ receives a red card.
-   `3 x`: You are asked whether player $x$ has been removed from the game. Answer `Yes` or `No`.

### Input

The input is given from Standard Input in the following format, where $\text{event}_i$ denotes the $i$-th event.

```
$N$ $Q$
$\text{event}_1$
$\text{event}_2$
$\vdots$
$\text{event}_Q$
```

Each event is in one of the following formats:

```
1 $x$
```
```
2 $x$
```
```
3 $x$
```

### Output

Print $X$ lines, where $X$ is the number of events of the third kind in the input.  
The $i$-th line should contain `Yes` if, for the $i$-th event of the third kind, player $x$ has been removed from the game, and `No` otherwise.

### Constraints

-   $1 \leq N \leq 100$
-   $1 \leq Q \leq 100$
-   $1 \leq x \leq N$ in all events.
-   There is at least one event of the third kind.
-   A player who has been removed will no longer receive any cards.
-   All values in the input are integers.

No
No
Yes
No
Yes
No

Here are all the events in chronological order.
In the 1-st event, you are asked whether player 1 has been removed from the game. Player 1 has not been removed, so you should print No.
In the 2-nd event, you are asked whether player 2 has been removed from the game. Player 2 has not been removed, so you should print No.
In the 3-rd event, player 2 receives a yellow card.
In the 4-th event, player 1 receives a red card and is removed from the game.
In the 5-th event, you are asked whether player 1 has been removed from the game. Player 1 has been removed, so you should print Yes.
In the 6-th event, you are asked whether player 2 has been removed from the game. Player 2 has not been removed, so you should print No.
In the 7-th event, player 2 receives a yellow card and is removed from the game.
In the 8-th event, you are asked whether player 2 has been removed from the game. Player 2 has been removed, so you should print Yes.
In the 9-th event, you are asked whether player 3 has been removed from the game. Player 3 has not been removed, so you should print No.