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: Runtime Error)

#[allow(unused_imports)]
use itertools::Itertools;
#[allow(unused_imports)]
use num::Integer;
#[allow(unused_imports)]
use proconio::derive_readable;
use proconio::fastout;
use proconio::input;
#[allow(unused_imports)]
use proconio::marker::*;
#[allow(unused_imports)]
use std::cmp;

fn index(s: &str) -> (usize, usize) {
  match s {
    "AB" => (0, 1),
    "AC" => (0, 2),
    _ => (1, 2),
  }
}

fn solve(abc: &mut Vec<i64>, s: &Vec<String>) -> Option<Vec<char>> {
  if abc.iter().sum::<i64>() == 0 {
    return None;
  }
  let mut ans = vec![];
  for i in 0..s.len() {
    let (l, r) = index(&s[i]);
    let (al, ar) = (abc[l], abc[r]);
    let mut pass = |src: usize, dst: usize| {
      ans.push(['A', 'B', 'C'][dst]);
      abc[src] -= 1;
      abc[dst] += 1;
    };
    match (al, ar) {
      (0, 0) => return None,
      (1, 1) => {
        if i == s.len() || s[i] == s[i + 1] {
          pass(l, r);
        } else {
          let (nl, nr) = index(&s[i + 1]);
          if l == nl || l == nr {
            pass(r, l);
          } else {
            pass(l, r);
          }
        }
      }
      (al, ar) if al > ar => {
        pass(l, r);
      }
      _ => {
        pass(r, l);
      }
    }
  }

  Some(ans)
}

#[fastout]
fn main() {
  input! {
    n: usize,
    mut abc: [i64; 3],
    s: [String; n],
  }
  match solve(&mut abc, &s) {
    None => {
      println!("No");
    }
    Some(v) => {
      println!("Yes");
      for c in &v {
        println!("{}", c);
      }
    }
  }
}