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: Wrong Answer)

#include <bits/stdc++.h>
#define rep(i,n) for(int i=0;i<n;i++)
using namespace std;
typedef long long ll;
typedef pair<int,int> pii;
typedef vector<int> vi;
typedef vector<vector<int>> vvi;
template<class T>

int dx[4]={1,-1,0,0};
int dy[4]={0,0,1,-1};

vvi adl_input(int N,int M){ //N頂点M辺
  vvi L(N);
  rep(i,M){
    int a,b;
    cin >> a >> b;
    //a--;b--;
    L[a].push_back(b);
    L[b].push_back(a);
  }
  return L;
}

ll gcd(ll a,ll b){
  if (a%b==0) return(b);
  else return(gcd(b,a%b));
}
ll lcm(ll a,ll b){
  return a*b/gcd(a,b);
}

vector<int> bfs(vvi L,int S){ //List,Start
  vector<int> v(L.size(),-1);
  v[S]=0;
  queue<int> q;
  q.push(S);
  while(!q.empty()){
    int a=q.front();
    q.pop();
    for(int x:L[a]){
      if (v[x]==-1){
        v[x]=v[a]+1;
        q.push(x);
      }
    }
  }
  return v;//startからの距離
}

void initialize(){
  cin.tie(nullptr);
  ios_base::sync_with_stdio(false);
  //cout << fixed << setprecision(15);
}

/////////////////////////////////////////

int main(){
  initialize();
  int N,K,Q;
  cin >> N >> K >> Q;
  int A[N];
  rep(i,N) A[i]=K-Q;
  rep(i,Q){
    int a;
    cin >> a;
    A[a]++;
  }
  rep(i,N){
    cout << (A[i]>0?"Yes":"No") << endl;
  }
  return 0;
}