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 <float.h>
#include <inttypes.h>
#include <limits.h>
#include <stdbool.h>
#include <stdint.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <time.h>
#include <unistd.h>
#include <math.h>
#ifdef __cplusplus
#include <bits/stdc++.h>
#endif

#include <float.h>
#include <inttypes.h>
#include <limits.h>
#include <stdbool.h>
#include <stdint.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <time.h>
#include <unistd.h>
#include <math.h>
#ifdef __cplusplus
#include <bits/stdc++.h>
#endif

char stribuf[300100];
uint32_t stribufl;

#define getchar_unlocked() stribuf[stribufl++]
uint32_t nextpint(void){ char c=getchar_unlocked(); while(c<'0'||'9'<c) c=getchar_unlocked(); uint32_t x=0; while('0'<=c && c<='9'){ x=x*10+c-'0'; c=getchar_unlocked(); } return x; }

int main(void){
	read(0, stribuf, sizeof(stribuf));
	uint32_t n=nextpint();
	uint32_t a=nextpint();
	uint32_t b=nextpint();
	uint32_t c=nextpint();
	char (*s)[3]=(void*)stribuf+stribufl;
	if((uint64_t)a+b+c==0){
		puts("No");
	}else if((uint64_t)a+b+c==1){
		int8_t m[3]={a,b,c};
		for(uint32_t i=0; i<n; i++){
			char a=s[i][0]-'A', b=s[i][1]-'A';
			if(0){
			}else if(m[a]!=0){
				m[a]--;
				m[b]++;
				s[i][0]=s[i][1];
			}else if(m[b]!=0){
				m[b]--;
				m[a]++;
				s[i][0]=s[i][0];
			}else{
				puts("No");
				return 0;
			}
		}
		puts("Yes");
		for(uint32_t i=0; i<n; i++){
			putchar_unlocked(s[i][0]);
			putchar_unlocked(10);
		}
	}else{
		uint32_t m[3]={a,b,c};
		if(m[s[0][0]-'A']==0 && m[s[0][1]-'A']==0){
			puts("No");
		}else{
			puts("Yes");
			for(uint32_t i=0; i<n; i++){
				char a=s[i][0]-'A', b=s[i][1]-'A';
				char c=3-a-b;
				if(m[a]==0){
					m[a]++;
					m[b]--;
					putchar_unlocked(s[i][0]); putchar_unlocked(10);
				}else if(m[b]==0){
					m[b]++;
					m[a]--;
					putchar_unlocked(s[i][1]); putchar_unlocked(10);
				}else if(m[c]==0){
					if(m[a]==1 && m[b]==1 && i+1<n){
						if(s[i+1][0]==s[i][0]){
							m[a]++;
							m[b]--;
							putchar_unlocked(s[i][0]); putchar_unlocked(10);
						}else{
							m[b]++;
							m[a]--;
							putchar_unlocked(s[i][1]); putchar_unlocked(10);
						}
					}else if(m[a]==1){
						m[a]++;
						m[b]--;
						putchar_unlocked(s[i][0]); putchar_unlocked(10);
					}else{
						m[b]++;
						m[a]--;
						putchar_unlocked(s[i][1]); putchar_unlocked(10);
					}
				}else{
					m[b]++;
					m[a]--;
					putchar_unlocked(s[i][1]); putchar_unlocked(10);
				}
			}
		}
	}
}