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::input;
use std::collections::VecDeque;

fn main() {
    input! {
        n:usize,
        a:i64,
        b:i64,
        c:i64,
        s:[String;n],
    }

    let mut history = VecDeque::new();
    let mut ra = a;
    let mut rb = b;
    let mut rc = c;

    for i in 0..n {
        let next = if i + 1 == n { &s[i] } else { &s[i + 1] };
        if s[i] == "AB" {
            if next == "AB" {
                if Selected::Left == select(&mut ra, &mut rb, Judge::Eq) {
                    history.push_back("A");
                } else {
                    history.push_back("B");
                }
            } else if next == "BC" {
                if Selected::Left == select(&mut ra, &mut rb, Judge::Right) {
                    history.push_back("A");
                } else {
                    history.push_back("B");
                }
            } else if next == "AC" {
                if Selected::Left == select(&mut ra, &mut rb, Judge::Left) {
                    history.push_back("A");
                } else {
                    history.push_back("B");
                }
            }
        } else if s[i] == "BC" {
            if next == "AB" {
                if Selected::Left == select(&mut rb, &mut rc, Judge::Left) {
                    history.push_back("B");
                } else {
                    history.push_back("C");
                }
            } else if next == "BC" {
                if Selected::Left == select(&mut rb, &mut rc, Judge::Eq) {
                    history.push_back("B");
                } else {
                    history.push_back("C");
                }
            } else if next == "AC" {
                if Selected::Left == select(&mut rb, &mut rc, Judge::Right) {
                    history.push_back("B");
                } else {
                    history.push_back("C");
                }
            }
        } else if s[i] == "AC" {
            if next == "AB" {
                if Selected::Left == select(&mut ra, &mut rc, Judge::Left) {
                    history.push_back("A");
                } else {
                    history.push_back("C");
                }
            } else if next == "BC" {
                if Selected::Left == select(&mut ra, &mut rc, Judge::Right) {
                    history.push_back("A");
                } else {
                    history.push_back("C");
                }
            } else if next == "AC" {
                if Selected::Left == select(&mut ra, &mut rc, Judge::Eq) {
                    history.push_back("A");
                } else {
                    history.push_back("C");
                }
            }
        }
        if ra < 0 || rb < 0 || rc < 0 {
            println!("No");
            return;
        }
    }
    println!("Yes");
    for i in history {
        println!("{}", i);
    }
}

#[derive(PartialEq)]
enum Judge {
    Eq,
    Left,
    Right,
}
#[derive(PartialEq)]
enum Selected {
    Left,
    Right,
}
fn select(l: &mut i64, r: &mut i64, judge: Judge) -> Selected {
    if *l >= 2 || *r == 0 {
        *l -= 1;
        *r += 1;
        Selected::Right
    } else if *r >= 2 || *l == 0 {
        *l += 1;
        *r -= 1;
        Selected::Left
    } else if *l == 1 && judge == Judge::Right {
        *l -= 1;
        *r += 1;
        Selected::Right
    } else {
        *l += 1;
        *r -= 1;
        Selected::Left
    }
}