Problem:
Score: 300 points

Problem Statement

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

Output

Print N lines. The i-th line should contain Yes if Player i survived the game, and No otherwise.

Sample Input 1

6 3 4
3
1
3
2

Sample 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.

Sample Input 2

6 5 4
3
1
3
2

Sample Output 2

Yes
Yes
Yes
Yes
Yes
Yes

Sample Input 3

10 13 15
3
1
4
1
5
9
2
6
5
3
5
8
9
7
9

Sample Output 3

No
No
No
No
Yes
No
No
No
Yes
No

Solution in C (GCC 5.4.1) (judge verdict: Time Limit Exceeded)

#include <stdio.h>

int main(void)
{
  int n, k, q, a[100000];
  scanf("%d %d %d", &n, &k, &q);
  int i;
  for (i = 0;i < q;i++){
    scanf("%d", &a[i]);
  }
  int score[n];
  int j;
  for (j = 0;j < n;j++){
    score[j] = k;
  }
  int judge[n];
  int h;
  for (h = 0;h < n;h++){
    judge[h] = 1;
  }
  int g;
/*ここからゲームの動きをみる*/
  for (g = 0;g < q;g++){
    int f;
    for (f = 0;f < n;f++){
      if (judge[f] == 1){
        score[f] -= 1;
      }
    }
    score[a[g] - 1] += 1;
    int e;
    for (e = 0;e < n;e++){
      if (judge[e] == 1){
        if (score[e] == 0){
          judge[e] = 0;
        }
      }
    }
  }
  int d;
  for (d = 0;d < n;d++){
    if (judge[d] == 1){
      printf("Yes\n");
    }else{
      printf("No\n");
    }
  }
  return 0;
}