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)

use proconio::{input, fastout};
use proconio::marker::Chars;

fn to_index(x: &char) -> Option<usize> {
    match x {
        'A' => Some(0),
        'B' => Some(1),
        'C' => Some(2),
        _ => None,
    }
}

#[fastout]
fn main() {
    input! {
        n: usize,
        mut abc: [usize; 3],
        sss: [Chars; n],
    }

    let mut history: Vec<char> = vec![];

    for (i, xy) in sss.iter().enumerate() {
        let cx = &xy[0];
        let cy = &xy[1];
        let x = to_index(cx).unwrap();
        let y = to_index(cy).unwrap();
        if abc[x] == 0 && abc[y] == 0 {
            println!("No");
            return;
        }
        if abc[x] == 1 && abc[y] == 1 {
            if i < n - 1 || &sss[i + 1][0] == cx || &sss[i + 1][1] == cx {
                abc[x] += 1;
                abc[y] -= 1;
                history.push(*cx);
            } else {
                abc[x] -= 1;
                abc[y] += 1;
                history.push(*cy);
            }
        } else {
            if abc[x] < abc[y] {
                abc[x] += 1;
                abc[y] -= 1;
                history.push(*cx);
            } else {
                abc[x] -= 1;
                abc[y] += 1;
                history.push(*cy);
            }
        }
    }

    println!("Yes");
    for c in history {
        println!("{}", c);
    }
}