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 Rust (1.15.1) (judge verdict: Accepted)

/// ========== 入力用マクロ ====================================================
/// https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8 より
/// FromStr型, Vec<T: FromStr>, Vec<char>, に対応
/// 入力と平行して処理したいときには使えない -> 後述の read() を使用
#[macro_export]
macro_rules! input {
    (source = $s:expr, $($r:tt)*) => {
        let mut iter = $s.split_whitespace();
        let mut next = || { iter.next().unwrap() };
        input_inner!{next, $($r)*}
    };
    ($($r:tt)*) => {
        let stdin = std::io::stdin();
        let mut bytes = std::io::Read::bytes(std::io::BufReader::new(stdin.lock()));
        let mut next = move || -> String{
            bytes
                .by_ref()
                .map(|r|r.unwrap() as char)
                .skip_while(|c|c.is_whitespace())
                .take_while(|c|!c.is_whitespace())
                .collect()
        };
        input_inner!{next, $($r)*}
    };
}

#[macro_export]
macro_rules! input_inner {
    ($next:expr) => {};
    ($next:expr, ) => {};

    ($next:expr, $var:ident : $t:tt $($r:tt)*) => {
        let $var = read_value!($next, $t);
        input_inner!{$next $($r)*}
    };
}

#[macro_export]
macro_rules! read_value {
    ($next:expr, ( $($t:tt),* )) => {
        ( $(read_value!($next, $t)),* )
    };

    ($next:expr, [ $t:tt ; $len:expr ]) => {
        (0..$len).map(|_| read_value!($next, $t)).collect::<Vec<_>>()
    };

    ($next:expr, chars) => {
        read_value!($next, String).chars().collect::<Vec<char>>()
    };

    ($next:expr, usize1) => {
        read_value!($next, usize) - 1
    };

    ($next:expr, $t:ty) => {
        $next().parse::<$t>().expect("Parse error")
    };
}


// ========== 常用関数 =======================================================


// 10^9 + 7 で割ったあまりを出力してください
pub const MOD: i64 = 1_000_000_007;

/// 標準入力から
/// 空白文字で囲まれた1つのトークンを
/// 指定の型に変換する
pub fn read<T: std::str::FromStr>() -> T {
    use std::io::Read;
    let stdin = std::io::stdin();
    let stdin = stdin.lock();
    let token: String = stdin
        .bytes()
        .map(|c| c.expect("failed to read char") as char)
        .skip_while(|c| c.is_whitespace())
        .take_while(|c| !c.is_whitespace())
        .collect();
    token.parse().ok().expect("failed to parse token")
}

/// 標準入力から1行読み取り
/// 空白文字で区切って
/// 指定の型のVecに格納する
pub fn read_vec<T: std::str::FromStr>() -> Vec<T> {
    let mut s = String::new();
    std::io::stdin().read_line(&mut s).ok();
    s.trim()
        .split_whitespace()
        .map(|e| e.parse().ok().unwrap())
        .collect()
}

/// ユークリッドの互除法より
/// 2数の最大公約数を求める
pub fn gcd(arg1: usize, arg2: usize) -> usize {
    let mut u = if arg1 > arg2 { arg1 } else { arg2 };
    let mut v = if arg1 > arg2 { arg2 } else { arg1 };

    let mut r: usize;
    while v != 0 {
        r = u % v;
        u = v;
        v = r;
    }
    u
}

/// Vec<usize>に対して順にgcd()を適用して
/// 配列全体の最大公約数を求める
pub fn gcd_vec(v: &[usize]) -> usize {
    let mut r = v[0];
    for i in &v[1..] {
        r = gcd(r, *i);
    }
    r
}

/// gcd()を利用して2数の最小公倍数を求める
pub fn lcm(arg1: usize, arg2: usize) -> usize {
    arg1 * arg2 / gcd(arg1, arg2)
}

/// Vec<usize>に対して順にlcm()を適用して
/// 配列全体の最小公倍数を求める
pub fn lcm_vec(v: &[usize]) -> usize {
    let mut r = v[0];
    for i in &v[1..] {
        r = lcm(r, *i);
    }
    r
}

/// プログラムを終了
pub fn exit() {
    std::process::exit(0)
}


// Rustの言語アップデートありがたいです
// 頑張ってください！


// ========== main() ==========================================================


fn main() {
    input!{
        n: usize, k: isize, q: isize,
        a: [usize; q],
    }

    let mut point = vec![k - q; n];
    for i in &a {
        point[*i-1] += 1;
    }
    for i in point {
        if i > 0 {
            println!("Yes");
        } else {
            println!("No");
        }
    }
}


// ========== 以下使い捨て関数 ===================================================