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)

#![allow(unused_imports)]
use std::cmp::*;
use std::collections::*;
use itertools::Itertools;
use proconio::{input, marker::*, fastout};
use superslice::*;
#[fastout()]
fn main() {
    input! {
        n: usize, abc: (i64, i64, i64),
        ss: [String; n],
    }

    let mut res = vec!['Z'; n];
    if dfs(abc, &ss, &mut res) {
        println!("Yes");
        for c in res {
            println!("{}", c);
        }
    } else {
        println!("No");
    }

}

fn dfs(abc: (i64, i64, i64), ss: &[String], res: &mut [char]) -> bool {
    let (a, b, c) = abc;

    if a < 0 || b < 0 || c < 0 {
        return false;
    }

    if ss.is_empty(){
        return true;
    }

    let pos = res.len() - ss.len();

    if &ss[0] == "AB" {
        res[pos] = 'B';
        if dfs((a-1, b+1, c), &ss[1..], res) {
            return true;
        } 
        res[pos] = 'A';
        return dfs((a+1, b-1, c), &ss[1..], res);
    }

    if &ss[0] == "AC" {
        res[pos] = 'C';
        if dfs((a-1, b, c+1), &ss[1..], res) {
            return true;
        } 
        res[pos] = 'A';
        return dfs((a+1, b, c-1), &ss[1..], res);
    }

    // BC
    res[pos] = 'B';
    if dfs((a, b+1, c-1), &ss[1..], res) {
        return true;
    } 
    res[pos] = 'C';
    return dfs((a, b-1, c+1), &ss[1..], res);
}