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.Collections.Generic;//list用
using System.Text;//StringBuilder用
using System.Collections;//ハッシュテーブル用
using System.Linq;

class Program
{
    //Hashtable ht = new Hashtable();
    static List<int> s = new List<int>();
    static List<int>[] sl;
    static decimal result;
    static int N,K,Q;
    //StringBuilder strresult= new StringBuilder("");//Append(str ○○)関数で文字を追加していく



    static void Main()
    {
        //Modular mo = new Modular(0);//素数で割った余りを出せで使う。()内が初期値。★使い方：Modular型で宣言すると、その時点でのその素数で割った余りを保持する変数になる（powべき乗、Fac累乗、nCr組み合わせも関数として存在）
        //Node<> no = new Node<>();//UnionFind★Find関数で根っこの値を返す（根っこの値が一緒なら同グループ）、Unite関数で二つの木をくっつける
        //Permutation<> pe = new Permutation<>();//配列＆リストを並べ替えた場合の全ケースを出力★All関数でリスト形式で返す。
        //Treap<> tr = new Treap<>();//平衡二分木★Insert()関数で挿入、FindIndex()関数で該当する大きさの物が入るべき配列番号を返す。
        //PriorityQueue<int,int> pr = new PriorityQueue<int,int>();//優先度付キュー★Add(key,value)で格納、Dequeue()で取りだし。keyが小さいものから取り出す。
Read4();
      for(int i=0;i<Q;i++){
              string tmp = Console.ReadLine();
        s.Add(int.Parse(tmp));
      }
      int[] t=new int [N];  
        for(int i=0;i<Q;i++){
t[s[i]-1]++  ;
        }
for(int i=0;i<N;i++){if(Q-t[i]>=K){Console.WriteLine("No");}else{Console.WriteLine("Yes");}}      
      
      //Console.WriteLine(result.ToString());
    }


    static void Read1()//1項
    {
        string tmp = Console.ReadLine();
        N = int.Parse(tmp);
    }

    static void Read2()//複数項（項目数Ｎ）
    {
        string[] tmp = Console.ReadLine().Split(' ');
        for (int i = 0; i < N; i++) { s.Add(int.Parse(tmp[i])); }
    }
    static void Read3()//1行複数項
    {
        string[] tmp = Console.ReadLine().Split(' ');
        for (int i = 0; i < tmp.Length; i++) { s.Add(int.Parse(tmp[i])); }
    }
    static void Read4()//NK１行
    {
        string[] tmp = Console.ReadLine().Split(' ');
        N = int.Parse(tmp[0]);
        K = int.Parse(tmp[1]);
      Q=int.Parse(tmp[2]);
    }
    static void Read5()//N行K項
    {
        sl = new List<int>[N];
        for (int i = 0; i < N; i++) {
            sl[i] = new List<int>();
            string[] tmp = Console.ReadLine().Split(' ');
            for (int j = 0; j < K; j++) {
                sl[i].Add(int.Parse(tmp[j]));
            }
        }

    }
}