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: Time Limit Exceeded)

#include <bits/stdc++.h>
#include <stdio.h>

#define ll long long
#define int ll
#define pii pair<int, int>
#define pb push_back
#define INF 1e18
#define REP(i, n) for (int i=0; i<n; i++)
#define FOR(i, a, b) for (int i=a; i<b; i++)
#define REPD(i, n) for (int i=n-1; i>=0; i--)
#define FORD(i, a, b) for (int i=a; i>=b; i--)
#define vi vector<int>
#define all(v) v.begin(), v.end()
#define print(x) cout << x << endl
#define debug(x) cout << #x << " = "<< x << endl

const double PI=3.141592653589793238462643383279502884197169399375105820974944;

using namespace std;

void solve() {
    int N, K, Q;
    cin >> N >> K >> Q;

    vector<int> M(N);
    REP(i, N) M.at(i) = K;

    vector<int> A(Q);

    REP(i, Q) cin >> A.at(i);

    REP(i, Q) {
        REP(j, N) {
            if (A.at(i)-1 == j) continue;
            else M.at(j) -= 1;
        }
    }

    REP(i, N) {
        if (M.at(i) <= 0) print("No");
        else print("Yes");
    }

}

signed main() {
    solve();
}