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


fscanf(STDIN, "%d%d%d%d", $N,$A,$B,$C);

$array = [];
$n = $N;
while($n--){
    fscanf(STDIN, "%s", $tmp);
    $array[] = $tmp;
}
$ans = [];
foreach($array as $key=>$value){
    if($value == "AB"){
        if($A == 0 && $B == 0){
            echo "No";
            exit;
        }
        if($A == 0){
            $A++;
            $B--;
            $ans[] = "A";
        }elseif($B == 0){
            $B++;
            $A--;
            $ans[] = "B";
        }else{
            if($A == 1 && $B == 1){
                if($key + 1 == $N){
                    $A++;
                    $B--;
                    $ans[] = "A";
                }elseif($array[$key + 1] == "AC" && $C <=1){
                    $A++;
                    $B--;
                    $ans[] = "A";
                }elseif($array[$key + 1] == "BC" && $C <=1){
                    $A--;
                    $B++;
                    $ans[] = "B";
                }else{
                    if($key % 2 == 0){
                        $A++;
                        $B--;
                        $ans[] = "A";
                    }else{
                        $A--;
                        $B++;
                        $ans[] = "B";
                    }
                }
            }elseif($A > $B){
                $A--;
                $B++;
                $ans[] = "B";
            }else{
                $A++;
                $B--;
                $ans[] = "A";
            }
        }
    }elseif($value == "BC"){

        if($C == 0 && $B == 0){
            echo "No";
            exit;
        }
        if($C == 0){
            $C++;
            $B--;
            $ans[] = "C";
        }elseif($B == 0){
            $B++;
            $C--;
            $ans[] = "B";
        }else{
            if($C == 1 && $B == 1){
                if($key + 1 == $N){
                    $C++;
                    $B--;
                    $ans[] = "C";
                }elseif($array[$key + 1] == "AC" && $A <=1){
                    $C++;
                    $B--;
                    $ans[] = "C";
                }elseif($array[$key + 1] == "AB" && $A <=1){
                    $C--;
                    $B++;
                    $ans[] = "B";
                }else{
                    if($key % 2 == 0){
                        $C++;
                        $B--;
                        $ans[] = "C";
                    }else{
                        $C--;
                        $B++;
                        $ans[] = "B";
                    }
                }
            }elseif($C > $B){
                $C--;
                $B++;
                $ans[] = "B";
            }else{
                $C++;
                $B--;
                $ans[] = "C";
            }
        }
    }else{//AC

        if($C == 0 && $A == 0){
            echo "No";
            exit;
        }
        if($C == 0){
            $C++;
            $A--;
            $ans[] = "C";
        }elseif($A == 0){
            $A++;
            $C--;
            $ans[] = "A";
        }else{
            if($C == 1 && $A == 1){
                if($key + 1 == $N){
                    $A++;
                    $C--;
                    $ans[] = "A";
                }elseif($array[$key + 1] == "BC" && $B <=1){
                    $C++;
                    $A--;
                    $ans[] = "C";
                }elseif($array[$key + 1] == "AB" && $B <=1){
                    $C--;
                    $A++;
                    $ans[] = "A";
                }else{
                    if($key % 2 == 0){
                        $C++;
                        $A--;
                        $ans[] = "C";
                    }else{
                        $C--;
                        $A++;
                        $ans[] = "A";
                    }
                }
            }elseif($C > $A){
                $C--;
                $A++;
                $ans[] = "A";
            }else{
                $C++;
                $A--;
                $ans[] = "C";
            }
        }
    }


}

echo"Yes".PHP_EOL;
echo implode(PHP_EOL,$ans);