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 Java (OpenJDK 11.0.6) (judge verdict: Wrong Answer)

import java.util.*;

public class Main {
    public static void main(String[] args) throws Exception {
        // Your code here!
        Scanner sc = new Scanner(System.in);
        int n = sc.nextInt();
        int a = sc.nextInt();
        int b = sc.nextInt();
        int c = sc.nextInt();
        
        int ab = 0;
        int ac = 0;
        int bc = 0;
        String[] str = new String[n];
        for (int i = 0; i < n; i++) {
            String s = sc.next();
            str[i] = s;
            if (s.equals("AB")) {
                ab++;
            } else if (s.equals("AC")) {
                ac++;
            } else {
                bc++;
            }
        }
        
        if (ab > 0) {
            if (a == 0 && b == 0) {
            if ((bc > 0 || ab > 0) && c == 0) {
                System.out.println("No");
                return;
            }
            }
        }
        if (ac > 0) {
            if (a == 0 && c == 0) {
            if ((bc > 0 || ab > 0) && b == 0) {
                System.out.println("No");
                return;
            }
            }
        }
        if (bc > 0) {
            if (b == 0 && c == 0) {
            if ((ab > 0 || ac > 0) && a == 0) {
                System.out.println("No");
                return;
            }
            }
        }
        
        if (a == b && b == c && c == 0) {
            System.out.println("No");
            return;
        }
        
        System.out.println("Yes");
        for (int i = 0; i < n; i++) {
            String s = str[i];
            if (s.equals("AB")) {
                if (a > b) {
                    System.out.println("B");
                    a--;
                    b++;
                } else {
                    System.out.println("A");
                    b--;
                    a++;
                }
            } else if (s.equals("AC")) {
                if (a > c) {
                    System.out.println("C");
                    a--;
                    c++;
                } else {
                    System.out.println("A");
                    c--;
                    a++;
                }
            } else {
                if (b > c) {
                    System.out.println("C");
                    c++;
                    b--;
                } else {
                    System.out.println("B");
                    b++;
                    c--;
                }
            }
        }
    }
}