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++14 (GCC 5.4.1) (judge verdict: Accepted)

#include<iostream>
#include<map>
#include<string.h>
#include<queue>
#include<algorithm>
#include<vector>
#include<string>
#include<utility>
#include<cstdlib>
#include<math.h>
#include<set>
#include<array>
using namespace std;

template<class T>inline bool chmax(T&a, T b) { if (a < b) { a = b; return 1; }return 0; }
template<class T>inline bool chmin(T&a, T b) { if (a > b) { a = b; return 1; }return 0; }



#define rep(n) for(int i=0;i<n;i++)
typedef pair<int, int> pii;

typedef long long ll;
typedef pair<ll, ll>pll;
const int MOD = 1000000007;
const int INF = 1 << 29;


int main() {
	
	int n, q, a[100001];
	
	long long k;
	cin >> n >> k >> q;

	vector<long long> b(n, k);
	for (int i = 0; i < q; i++) {
		cin >> a[i];
		b[a[i]-1]++;
	}
	for (int i = 0; i < n; i++) {
		if (b[i] - q >= 1)
			cout << "Yes" << endl;
		else
			cout << "No" << endl;
	}

	return 0;
}