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<bits/stdc++.h>
using namespace std;
#define ALL(x) (x).begin(),(x).end()
#define uniq(x) (x).erase(unique(ALL(x)),(x).end())
#define SORT(x) sort(ALL(x))
#define REV(x) reverse(ALL(x))
#define foreach(it,x) for(__typeof((x).begin()) it=(x).begin();it!=(x).end();it++)
#define debug(x) cerr<<#x<<"="<<(x)<<endl
#define gett() cerr<<"Time:"<<clock()<<"ms."<<endl
#define ri(x) scanf("%d",&x)
#define rl(x) scanf("%lld",&x)
#define rlcfpoj(x) scanf("%I64d",&x)
#define pi(x) printf("%d",x)
#define pl(x) printf("%lld",x)
#define plcfpoj(x) printf("%I64d",x)
#define lfd() printf("\n")
#define sp() printf(" ")
#define inrep(x) int x;scanf("%d",&x);while(x--)
#define testbit(mask,i) (((mask)>>(i))&1)
#define setbit(mask,i) ((mask)|(1<<i))
#define delbit(mask,i) ((mask)^(1<<i))
int n,k,q;
int a;
int s[100100];
int main(){
	//freopen("input.txt","r",stdin);
	//freopen("output.txt","w",stdout);
	ios::sync_with_stdio(false);
	cin.tie(NULL);
	cout.tie(NULL);
	cin>>n>>k>>q;
	int res=0;
	for(int i=1;i<=q;i++){
		cin>>a;
		s[a]++;
	}
	int cnt=0;
	for(int i=1;i<=n;i++){
		if((q-s[i])>=k){
			cout<<"No"<<endl;
		}
		else
			cout<<"Yes"<<endl;
	}
	return 0;
}