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{

    Scanner sc = new Scanner(System.in);

    public static void main(String[] args){
        new Main().run();
    }

    void run() {

        int n = sc.nextInt();
        int a = sc.nextInt();
        int b = sc.nextInt();
        int c = sc.nextInt();

        StringBuffer sb = new StringBuffer();

        String[] arr = new String[n];
        for (int i=0; i<n; i++) arr[i] = sc.next();

        for (int i=0; i<n; i++) {
            if (a + b + c == 0) {
                System.out.println("No");
                return;
            }
            if (arr[i].equals("AB")) {
                if (a + b + c == 2 && i != n-1 && a == 1 && b == 1 && !arr[i].equals(arr[i+1]) ) {
                    if (arr[i].charAt(0) == arr[i+1].charAt(0)) {
                        a += 1;
                        b -= 1;
                    } else {
                        a -= 1;
                        b += 1;
                    }
                } else {
                    if (a < b) {
                        a += 1;
                        b -= 1;
                        sb.append("A\n");
                    } else {
                        a -= 1;
                        b += 1;
                        sb.append("B\n");
                    }
                }
                if (a < 0 || b < 0) {
                    System.out.print("No");
                    return;
                }
            } else if (arr[i].equals("AC")) {
                if (a + b + c == 2 && i != n-1 && a == 1 && c == 1 && !arr[i].equals(arr[i+1]) ) {
                    if (arr[i].charAt(0) == arr[i+1].charAt(0)) {
                        a += 1;
                        c -= 1;
                    } else {
                        a -= 1;
                        c += 1;
                    }
                } else {
                    if (a < c) {
                        a += 1;
                        c -= 1;
                        sb.append("A\n");
                    } else {
                        a -= 1;
                        c += 1;
                        sb.append("C\n");
                    }
                }
                if (a < 0 || c < 0) {
                    System.out.print("No");
                    return;
                }
            } else {
                if (a + b + c == 2 && i != n-1 && b == 1 && c == 1 && !arr[i].equals(arr[i+1]) ) {
                    if (arr[i].charAt(1) == arr[i+1].charAt(1)) {
                        c += 1;
                        b -= 1;
                    } else {
                        c -= 1;
                        b += 1;
                    }
                } else {
                    if (b < c) {
                        b += 1;
                        c -= 1;
                        sb.append("B\n");
                    } else {
                        b -= 1;
                        c += 1;
                        sb.append("C\n");
                    }
                }
                if (b < 0 || c < 0) {
                    System.out.print("No");
                    return;
                }
            }
        }

        System.out.println("Yes");
        System.out.println(sb.toString());

    }
}