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)]
use proconio::{input, marker::*};

#[allow(unused_imports)]
use std::collections::{BTreeMap, BTreeSet, BinaryHeap, HashMap, HashSet, VecDeque};

#[allow(unused_imports)]
use std::io::Write;

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

fn main() {
    input! {
        n: usize,
        a: isize,
        b: isize,
        c: isize,
        s: [String;n],
    }

    for i in 0..2 {
        let mut ab = i == 0;
        for j in 0..2 {
            let mut bc = j == 0;
            for k in 0..2 {
                let mut ac = k == 0;
                let mut res = Vec::new();
                let mut a = a;
                let mut b = b;
                let mut c = c;
                let mut flag = false;
                for l in 0..n {
                    if s[l] == "AB".to_string() {
                        if ab {
                            res.push("A");
                            a += 1;
                            b -= 1;
                        } else {
                            res.push("B");
                            a -= 1;
                            b += 1;
                        }
                        ab = !ab;
                        if a < 0 || b < 0 {
                            flag = true;
                            break;
                        }
                    } else if s[l] == "BC".to_string() {
                        if bc {
                            res.push("C");
                            c += 1;
                            b -= 1;
                        } else {
                            res.push("B");
                            c -= 1;
                            b += 1;
                        }
                        bc = !bc;
                        if c < 0 || b < 0 {
                            flag = true;
                            break;
                        }
                    } else {
                        if ac {
                            res.push("A");
                            a += 1;
                            c -= 1;
                        } else {
                            res.push("C");
                            a -= 1;
                            c += 1;
                        }
                        ac = !ac;
                        if a < 0 || c < 0 {
                            flag = true;
                            break;
                        }
                    }
                }
                if flag {
                    continue;
                }
                println!("Yes");
                for e in res {
                    println!("{}", e);
                }
                return;
            }
        }
    }
    println!("No");
}