Attack Survival

AtCoder

IDabc141_c

Time2000ms

Memory256MB

Difficulty—

Takahashi has decided to hold fastest-finger-fast quiz games. Kizahashi, who is in charge of making the scoreboard, is struggling to write the program that manages the players' scores in a game, which proceeds as follows. A game is played by $N$ players, numbered $1$ to $N$. At the beginning of a game, each player has $K$ points. When a player correctly answers a question, each of the other $N-1$ players receives minus one ($-1$) point. There is no other factor that affects the players' scores. At the end of a game, the players with $0$ points or lower are eliminated, and the remaining players survive. In the last game, the players gave a total of $Q$ correct answers, the $i$\-th of which was given by Player $A_i$. For Kizahashi, write a program that determines whether each of the $N$ players survived this game. ## Constraints * All values in input are integers. * $2 \leq N \leq 10^5$ * $1 \leq K \leq 10^9$ * $1 \leq Q \leq 10^5$ * $1 \leq A_i \leq N\ (1 \leq i \leq Q)$ ## Input Input is given from Standard Input in the following format: $N$ $K$ $Q$ $A_1$ $A_2$ $.$ $.$ $.$ $A_Q$ [samples]

Samples

Input #1

Output #1

No
No
Yes
No
No
No

In the beginning, the players' scores are $(3, 3, 3, 3, 3, 3)$.

*   Player $3$ correctly answers a question. The players' scores are now $(2, 2, 3, 2, 2, 2)$.
*   Player $1$ correctly answers a question. The players' scores are now $(2, 1, 2, 1, 1, 1)$.
*   Player $3$ correctly answers a question. The players' scores are now $(1, 0, 2, 0, 0, 0)$.
*   Player $2$ correctly answers a question. The players' scores are now $(0, 0, 1, -1, -1, -1)$.

Players $1, 2, 4, 5$ and $6$, who have $0$ points or lower, are eliminated, and Player $3$ survives this game.

Input #2

Output #2

Yes
Yes
Yes
Yes
Yes
Yes

Input #3

Output #3

No
No
No
No
Yes
No
No
No
Yes
No

API Response (JSON)

{
  "problem": {
    "name": "Attack Survival",
    "description": {
      "content": "Takahashi has decided to hold fastest-finger-fast quiz games. Kizahashi, who is in charge of making the scoreboard, is struggling to write the program that manages the players' scores in a game, which",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc141_c"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "Takahashi has decided to hold fastest-finger-fast quiz games. Kizahashi, who is in charge of making the scoreboard, is struggling to write the program that manages the players' scores in a game, which...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments