Problem:
Score : 600 points

Problem Statement

There is a game that involves three variables, denoted A, B, and C.

As the game progresses, there will be N events where you are asked to make a choice.
Each of these choices is represented by a string s_i. If s_i is AB, you must add 1 to A or B then subtract 1 from the other; if s_i is AC, you must add 1 to A or C then subtract 1 from the other; if s_i is BC, you must add 1 to B or C then subtract 1 from the other.

After each choice, none of A, B, and C should be negative.

Determine whether it is possible to make N choices under this condition. If it is possible, also give one such way to make the choices.

Constraints

1 \leq N \leq 10^5

0 \leq A,B,C \leq 10^9

N, A, B, C are integers.

s_i is AB, AC, or BC.

Input

Input is given from Standard Input in the following format:

N A B C
s_1
s_2
:
s_N

Output

If it is possible to make N choices under the condition, print Yes; otherwise, print No.

Also, in the former case, show one such way to make the choices in the subsequent N lines. The (i+1)-th line should contain the name of the variable (A, B, or C) to which you add 1 in the i-th choice.

Sample Input 1

2 1 3 0
AB
AC

Sample Output 1

Yes
A
C

You can successfully make two choices, as follows:

In the first choice, add 1 to A and subtract 1 from B. A becomes 2, and B becomes 2.

In the second choice, add 1 to C and subtract 1 from A. C becomes 1, and A becomes 1.

Sample Input 2

3 1 0 0
AB
BC
AB

Sample Output 2

No

Sample Input 3

1 0 9 0
AC

Sample Output 3

No

Sample Input 4

8 6 9 1
AC
BC
AB
BC
AC
BC
AB
AB

Sample Output 4

Yes
C
B
B
C
C
B
A
A

Solution in Rust (1.42.0) (judge verdict: Time Limit Exceeded)

#[allow(unused_macros)]
macro_rules! get {
    ($t:ty) => {
        {
            let mut line: String = String::new();
            std::io::stdin().read_line(&mut line).unwrap();
            line.trim().parse::<$t>().unwrap()
        }
    };
    ($($t:ty),*) => {
        {
            let mut line: String = String::new();
            std::io::stdin().read_line(&mut line).unwrap();
            let mut iter = line.split_whitespace();
            (
                $(iter.next().unwrap().parse::<$t>().unwrap(),)*
            )
        }
    };
    ($t:ty; $n:expr) => {
        (0..$n).map(|_|
            get!($t)
        ).collect::<Vec<_>>()
    };
    ($($t:ty),*; $n:expr) => {
        (0..$n).map(|_|
            get!($($t),*)
        ).collect::<Vec<_>>()
    };
    ($t:ty ;;) => {
        {
            let mut line: String = String::new();
            std::io::stdin().read_line(&mut line).unwrap();
            line.split_whitespace()
                .map(|t| t.parse::<$t>().unwrap())
                .collect::<Vec<_>>()
        }
    };
    ($t:ty ;; $n:expr) => {
        (0..$n).map(|_| get!($t ;;)).collect::<Vec<_>>()
    };
}

#[allow(unused_macros)]
macro_rules! get_chars {
    () => {
        {
            let mut line: String = String::new();
            std::io::stdin().read_line(&mut line).unwrap();
            line.trim().chars().collect::<Vec<_>>()
        }
    };
    ($n:expr) => {
        {
            (0..$n)
                .map(|_| get_chars!())
                .collect::<Vec<_>>()
        }
    };
}

fn main() {
    let (n, a, b, c) = get!(usize, i64, i64, i64);
    let s = get!(String; n);
    dfs(&s, a, b, c, vec![]);
    println!("No");
}

fn dfs(s: &[String], a: i64, b: i64, c: i64, res: Vec<char>) {
    if a < 0 || b < 0 || c < 0 {
        return;
    }
    if s.is_empty() {
        println!("Yes");
        for r in res.into_iter() {
            println!("{}", r);
        }
        std::process::exit(0);
    }

    match s[0].as_str() {
        "AB" => {
            let mut resc = res.clone();
            resc.push('B');
            dfs(&s[1..], a - 1, b + 1, c, resc);
            let mut resc = res.clone();
            resc.push('A');
            dfs(&s[1..], a + 1, b - 1, c, resc);
        },
        "AC" => {
            let mut resc = res.clone();
            resc.push('C');
            dfs(&s[1..], a - 1, b, c + 1, resc);
            let mut resc = res.clone();
            resc.push('A');
            dfs(&s[1..], a + 1, b, c - 1, resc);
        },
        "BC" => {
            let mut resc = res.clone();
            resc.push('B');
            dfs(&s[1..], a, b + 1, c - 1, resc);
            let mut resc = res.clone();
            resc.push('C');
            dfs(&s[1..], a, b - 1, c + 1, resc);
        },
        _ => {}
    }
}