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: Accepted)

use proconio::*;

fn dfs(s: &[usize], a: &mut [usize]) -> Option<Vec<usize>> {
    if s.is_empty() {
        return Some(vec![]);
    }
    let op = s[0];
    let s = &s[1..];
    let mut x = op.trailing_zeros() as usize;
    let mut y = (op ^ (1 << x)).trailing_zeros() as usize;
    if a[x] < a[y] {
        std::mem::swap(&mut x, &mut y);
    }
    if a[x] == 0 {
        return None;
    }
    if a[x] == a[y] {
        for &(x, y) in [(x, y), (y, x)].iter() {
            a[x] -= 1;
            a[y] += 1;
            if let Some(mut ans) = dfs(s, a) {
                ans.push(y);
                return Some(ans);
            }
            a[x] += 1;
            a[y] -= 1;
        }
    } else {
        a[x] -= 1;
        a[y] += 1;
        if let Some(mut ans) = dfs(s, a) {
            ans.push(y);
            return Some(ans);
        }
        a[x] += 1;
        a[y] -= 1;
    }
    None
}

#[fastout]
fn run() {
    input! {
        n: usize,
        mut a: [usize; 3],
        s: [String; n],
    }
    let s = s
        .into_iter()
        .map(|s| match s.as_str() {
            "AB" => 3,
            "BC" => 6,
            "AC" => 5,
            _ => unreachable!(),
        })
        .collect::<Vec<_>>();
    if let Some(ans) = dfs(&s, &mut a) {
        println!("Yes");
        let op = "ABC".chars().collect::<Vec<_>>();
        for a in ans.iter().rev() {
            println!("{}", op[*a]);
        }
    } else {
        println!("No");
    }
}

fn main() {
    run();
}