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# (.NET Core 3.1.201) (judge verdict: Accepted)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace AtCoder
{
    class ABC141
    {
        static long ReadLong()
        {
            return long.Parse(Console.ReadLine());
        }

        static long[] ReadLongs()
        {
            return Console.ReadLine().Split(' ').Select(long.Parse).ToArray();
        }

        static double ReadDouble()
        {
            return double.Parse(Console.ReadLine());
        }

        static double[] ReadDoubles()
        {
            return Console.ReadLine().Split(' ').Select(double.Parse).ToArray();
        }

        static string ReadString()
        {
            return Console.ReadLine();
        }

        static string[] ReadStringSplit()
        {
            return Console.ReadLine().Split(' ');
        }

        static void A()
        {
            var s = ReadString();
            switch (s)
            {
                case "Sunny":
                    Console.WriteLine("Cloudy");
                    break;
                case "Cloudy":
                    Console.WriteLine("Rainy");
                    break;
                case "Rainy":
                    Console.WriteLine("Sunny");
                    break;
            }
        }

        static void B()
        {
            var S = ReadString();
            for (int i = 0; i < S.Length; ++i)
            {
                if (i % 2 == 0)
                {
                    if (S[i] == 'L')
                    {
                        Console.WriteLine("No");
                        return;
                    }
                }
                else
                {
                    if (S[i] == 'R')
                    {
                        Console.WriteLine("No");
                        return;
                    }

                }
            }
            Console.WriteLine("Yes");
        }

        static void C()
        {
            var longsInput = ReadLongs();
            var N = longsInput[0];
            var K = longsInput[1];
            var Q = longsInput[2];
            var AnsCounts = Enumerable.Range(0, (int)N)
                                        .Select(x => 0)
                                        .ToArray();
            for (int i = 0; i < Q; ++i)
            {
                var l = ReadLong();
                AnsCounts[l - 1]++;
            }
            for (int i = 0; i < N; ++i)
            {
                if (K - (Q - AnsCounts[i]) > 0)
                {
                    Console.WriteLine("Yes");
                }
                else
                {
                    Console.WriteLine("No");
                }
            }
        }

        static void D()
        {

        }

        static void Main(string[] args)
        {
            //A();
            //B();
            C();
            //D();
        }
    }
}