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.Scanner;

public class Main {
	public static void main(String []args) {
		Scanner sc = new Scanner(System.in);
		
		int n = Integer.parseInt(sc.next());
		int []a = new int [3];
		for(int i = 0 ; i < 3 ;i++) {
			a[i] = Integer.parseInt(sc.next());
		}
				
		
		int []cnt = new int [3];
		char []d = new char [n];
		
		for(int i = 0 ; i < n ;i++) {
			String s = sc.next();
			int p = s.charAt(0) - 'A';
			int q = s.charAt(1) - 'A';
			if(cnt[p] == cnt[q]) {
				if(a[p] == 0 && a[q] == 0) {
					System.out.println("No");
					return;
				}
				if(a[p] > a[q]) {
					cnt[p]--; cnt[q]++; a[p]--; a[q]++;
					d[i] = (char)(q + 'A');
				}
				else {
					cnt[p]++;cnt[q]--; a[p]++; a[q]--;
					d[i] = (char)(p + 'A');
				}
			}
			else {
				if(a[p] == 0 && a[q] == 0) {
					System.out.println("No");
					return;
				}
				if(cnt[p] > cnt[q]) {
					cnt[p]--; cnt[q]++;
					a[p]-- ; a[q]++;
					d[i] = (char)(q + 'A');
				}
				else {
					cnt[p]++; cnt[q]--;
					a[p]++; a[q]--;
					d[i] = (char)(p + 'A');
				}
			}
			
		}
		
		System.out.println("Yes");
		for(int i = 0 ; i < n ;i++) {
			System.out.println(d[i]);
		}
	}

}