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::{fastout, input};

#[fastout]
fn main() {
    input! {
        n: usize, mut a: u64, mut b: u64, mut c: u64,
        mut q: [String; n],
    }
    q.push(String::from(""));
    let mut ans = vec![];
    for i in 0..n {
        match &q[i][..] {
            "AB" => {
                if a > 1 || (a, b) == (1, 0) {
                    a -= 1;
                    b += 1;
                    ans.push("B");
                } else if b > 1 || (a, b) == (0, 1) {
                    a += 1;
                    b -= 1;
                    ans.push("A");
                } else if (a, b) == (0, 0) {
                    println!("No");
                    return;
                } else {
                    if q[i + 1] == "AC" {
                        a += 1;
                        b -= 1;
                        ans.push("A");
                    } else {
                        a -= 1;
                        b += 1;
                        ans.push("B");
                    }
                }
            }
            "AC" => {
                if a > 1 || (a, c) == (1, 0) {
                    a -= 1;
                    c += 1;
                    ans.push("C");
                } else if c > 1 || (a, c) == (0, 1) {
                    a += 1;
                    c -= 1;
                    ans.push("A");
                } else if (a, c) == (0, 0) {
                    println!("No");
                    return;
                } else {
                    if q[i + 1] == "AB" {
                        a += 1;
                        c -= 1;
                        ans.push("A");
                    } else {
                        a -= 1;
                        c += 1;
                        ans.push("C");
                    }
                }
            }
            "BC" => {
                if b > 1 || (b, c) == (1, 0) {
                    b -= 1;
                    c += 1;
                    ans.push("C");
                } else if c > 1 || (b, c) == (0, 1) {
                    b += 1;
                    c -= 1;
                    ans.push("B");
                } else if (b, c) == (0, 0) {
                    println!("No");
                    return;
                } else {
                    if q[i + 1] == "AB" {
                        b += 1;
                        c -= 1;
                        ans.push("B");
                    } else {
                        b -= 1;
                        c += 1;
                        ans.push("C");
                    }
                }
            }
            _ => (),
        }
    }
    println!("Yes");
    for s in ans.iter() {
        println!("{}", s);
    }
}