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# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Numerics;
using System.Linq;
using System.Collections.Generic;
using System.Text;

namespace debug
{
    class main 
    {
        static void Main(string[] args)
        {
            ProgramC a = new ProgramC();
            a.main();
            
        }

    }

    class ProgramA
    {
        public void main()
        {
            //入力
            string s = Console.ReadLine();

            if (s == "Sunny")
                Console.WriteLine("Cloudy");
            else if (s == "Cloudy")
                Console.WriteLine("Rainy");
            else
                Console.WriteLine("Sunny");

        }


    }

    class ProgramB
    {
        public void main()
        {
            //入力
            string s = Console.ReadLine();

            for(int i = 0;i < s.Length;i++)
            {
                if( i % 2 == 0)
                {
                    if(s[i] == 'L')
                    {
                        Console.WriteLine("No");
                        return;
                    }
                    continue;
                }

                if (s[i] == 'R')
                {
                    Console.WriteLine("No");
                    return;
                }
            }

            Console.WriteLine("Yes");
        }


    }

    class ProgramC
    {
        public void main()
        {
            //入力
            string[] s = Console.ReadLine().Split(' ');
            long n = long.Parse(s[0]);
            long k = long.Parse(s[1]);
            long q = long.Parse(s[2]);

            int[] num = new int[n];

            for (int i = 0; i < q; i++)
            {
                int temp = int.Parse(Console.ReadLine());
                num[temp - 1]++;
            }

            for (int i = 0; i < n; i++)
            {
                if(k - (q - num[i]) > 0)
                    Console.WriteLine("Yes");
                else
                    Console.WriteLine("No");
            }
        }


    }


}