Yellow and Red Card

AtCoder

IDabc292_b

Time2000ms

Memory256MB

Difficulty—

$N$ 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`. ## 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. ## 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 $x$ [samples]

Samples

Input #1

Output #1

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`.

API Response (JSON)

{
  "problem": {
    "name": "Yellow and Red Card",
    "description": {
      "content": "$N$ 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",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc292_b"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "$N$ players numbered $1$ to $N$ will play a soccer game.  \nWhen a player commits an offense, that player will receive a **yellow card** or a **red card**.  \nA player who satisfies one of the following...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments