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 PHP (7.4.4) (judge verdict: Accepted)

<?php
  list($n, $a, $b, $c) = explode(" ", trim(fgets(STDIN)));

  $s = [];
  for($i=0; $i<$n; $i++){
    list($s[]) = explode(" ", trim(fgets(STDIN)));
  }

  $ans = [];
  for($i=0; $i<$n; $i++){
    if($s[$i] == "AB"){
      if($a > $b){
        $a--;
        $b++;
        $ans[] = "B";
      }
      else if($b > $a){
        $b--;
        $a++;
        $ans[] = "A";
      }
      else{
        if($i == $n-1 || $s[$i] == $s[$i+1]){
          $a++;
          $b--;
          $ans[] = "A";
        }else{
          if($s[$i+1] == "BC"){
            $a--;
            $b++;
            $ans[] = "B";
          }else{
            $a++;
            $b--;
            $ans[] = "A";
          }
        }
      }
    }
    else if($s[$i] == "BC"){
      if($b > $c){
        $b--;
        $c++;
        $ans[] = "C";
      }
      else if($c > $b){
        $c--;
        $b++;
        $ans[] = "B";
      }
      else{
        if($i == $n-1 || $s[$i] == $s[$i+1]){
          $b--;
          $c++;
          $ans[] = "C";
        }else{
          if($s[$i+1] == "AC"){
            $b--;
            $c++;
            $ans[] = "C";
          }else{
            $c--;
            $b++;
            $ans[] = "B";
          }
        }
      }
    }
    else if($s[$i] == "AC"){
      if($a > $c){
        $a--;
        $c++;
        $ans[] = "C";
      }
      else if($c > $a){
        $c--;
        $a++;
        $ans[] = "A";
      }
      
      else{
        if($i == $n-1 || $s[$i] == $s[$i+1]){
          $a--;
          $c++;
          $ans[] = "C";
        }else{
          if($s[$i+1] == "BC"){
            $a--;
            $c++;
            $ans[] = "C";
          }else{
            $c--;
            $a++;
            $ans[] = "A";
          }
        }
      }
      
    }
    
    if($a < 0 || $b < 0 || $c < 0){
      echo "No";
      exit;
    }
  }

  echo "Yes".PHP_EOL;

  for($i=0; $i<$n; $i++){
    echo $ans[$i].PHP_EOL;
  }