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: Wrong Answer)

#![allow(unused_imports)]
#![allow(non_snake_case)]
use std::cmp::*;
use std::collections::*;
use std::io::Write;

#[allow(unused_macros)]
macro_rules! debug {
    ($($e:expr),*) => {
        #[cfg(debug_assertions)]
        $({
            let (e, mut err) = (stringify!($e), std::io::stderr());
            writeln!(err, "{} = {:?}", e, $e).unwrap()
        })*
    };
}

fn main() {
    let v = read_vec::<i64>();
    let (n, mut a, mut b, mut c) = (v[0] as usize, v[1], v[2], v[3]);
    let mut command = vec![];
    for i in 0..n {
        let s = read::<String>();
        command.push(s);
    }
    let mut operations = vec!['?'; n];

    let mut selectable = VecDeque::new();

    for (i, com) in command.into_iter().enumerate() {
        if com == "AC" {
            if c > 0 {
                a += 1;
                c -= 1;
                operations[i] = 'A';
            } else {
                if a == 0 {
                    if selectable.is_empty() {
                        println!("No");
                        return;
                    } else {
                        let si = selectable.pop_back().unwrap();
                        operations[si] = 'A';
                        a += 1;
                        b -= 1;
                    }
                }
                a -= 1;
                c += 1;
                operations[i] = 'C';
            }
        } else if com == "BC" {
            if c > 0 {
                b += 1;
                c -= 1;
                operations[i] = 'B';
            } else {
                if b == 0 {
                    println!("No");
                    return;
                }
                b -= 1;
                c += 1;
                operations[i] = 'C';
            }
        } else {
            if a + b == 0 {
                println!("No");
                return;
            }
            if a == 0 {
                a += 1;
                b -= 1;
                operations[i] = 'A';
            } else {
                a -= 1;
                b += 1;
                operations[i] = 'B';
                selectable.push_back(i);
            }
        }
    }
    println!("Yes");
    for com in operations {
        println!("{}", com);
    }
}

fn read<T: std::str::FromStr>() -> T {
    let mut s = String::new();
    std::io::stdin().read_line(&mut s).ok();
    s.trim().parse().ok().unwrap()
}

fn read_vec<T: std::str::FromStr>() -> Vec<T> {
    read::<String>()
        .split_whitespace()
        .map(|e| e.parse().ok().unwrap())
        .collect()
}