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 C (GCC 9.2.1) (judge verdict: Wrong Answer)

#include <stdio.h>
#include <stdlib.h>
#include <string.h>

int main(){
    int n,a,b,c,i,A=0,B=0,C=0;
    char s[100002][3]={},ans[100002]={};
    scanf("%d%d%d%d",&n,&a,&b,&c);
    for (i=0; i<n; i++) scanf("%s",s[i]);
    for (i=0; i<n; i++) {
        if (strcmp(s[i], "AC")==0) {
            A++;C++;
        }else if(strcmp(s[i], "AB")==0){
            A++;B++;
        }else if(strcmp(s[i], "BC")==0){
            B++;C++;
        }
    }
    for (i=0; i<n; i++) {
        if (strcmp(s[i], "AC")==0) {
            if (a>c) {
                a--;c++;ans[i]='C';
            }else if(a<c){
                a++;c--;ans[i]='A';
            }else if(a==c){
                if (A>=C) {
                    a++;c--;ans[i]='A';
                }else{
                    a--;c++;ans[i]='C';
                }
            }
        }else if(strcmp(s[i], "AB")==0){
            if (a>b) {
                a--;b++;ans[i]='B';
            }else if(a<b){
                a++;b--;ans[i]='A';
            }else if(a==b){
                if (A>=B) {
                    a++;b--;ans[i]='A';
                }else{
                    a--;b++;ans[i]='B';
                }
            }
        }else if(strcmp(s[i], "BC")==0){
            if (b>c) {
                b--;c++;ans[i]='C';
            }else if(b<c){
                b++;c--;ans[i]='B';
            }else if(b==c){
                if (B>=C) {
                    b++;c--;ans[i]='B';
                }else{
                    b--;c++;ans[i]='C';
                }
            }
        }
        if (a>=0&&b>=0&&c>=0) {
        }else {printf("No");return 0;}
    }
    if (a>=0&&b>=0&&c>=0) {
        printf("Yes\n");
        for (i=0; i<n; i++) printf("%c\n",ans[i]);
    }else printf("No");
    return 0;
}