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 Java8 (OpenJDK 1.8.0) (judge verdict: Time Limit Exceeded)

import java.io.*;
import java.util.*;

public class Main {
	static int a, b, c;

	public static void main(String[] args) {
		try {
			BufferedReader br = createBufferedReader();
			String line = br.readLine();
			StringTokenizer st = new StringTokenizer(line, " ");
			final int N = Integer.parseInt(st.nextToken());
			final int K = Integer.parseInt(st.nextToken());
			final int Q = Integer.parseInt(st.nextToken());
			int[] a = new int[Q];
			int[] points = new int[N];
			for (int i = 0; i < N; i++) {
				points[i] = K;
			}
			for (int i = 0; i < Q; i++) {
				a[i] = Integer.parseInt(br.readLine());
				points[a[i] - 1]++;
				for (int j = 0; j < N; j++) {
					points[j]--;
				}
			}
			for (int i = 0; i < N; i++) {
				System.out.println(points[i] > 0 ? "Yes" : "No");
			}
		} catch (IOException ioe) {
			ioe.printStackTrace();
		} catch (IllegalArgumentException iae) {
			iae.printStackTrace();
			System.err.println("入力が正しくありません。");
		}
	}

	private static int min(final int a, final int b) {
		return (a < b) ? a : b;
	}

	// 以下問題問わずに共通部分
	// 標準入力の BufferedReader を返す.
	private static BufferedReader createBufferedReader() {
		InputStreamReader isr = new InputStreamReader(System.in);
		return new BufferedReader(isr);
	}
}