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 "bits/stdc++.h"
using namespace std;

int n,a,b,c;
string s,ans;
vector <string> v;

// AB, AC, BC

string f(char choice)
{
	bool ok=true;
	int ta=a,tb=b,tc=c;
	string ans="";
	for(auto s:v)
	{
		if(choice=='C')
		{
			if(s[0]=='C')
			{
				if(c>0)
				{
					c--;
					if(s[1]=='A') a++,ans+="A";
					else b++,ans+="B";
				}
				else
				{
					c++;
					ans+="C";
					if(s[1]=='A') a--;
					else b--;
				}
			}
			else if(s[1]=='C')
			{	
				if(c>0)
				{
					c--;
					if(s[0]=='A') a++,ans+="A";
					else b++,ans+="B";
				}
				else
				{
					c++;
					ans+="C";
					if(s[0]=='A') a--;
					else b--;
				}
			}
			else
			{
				if(a>b) a--,b++,ans+="B";
				else a++,b--,ans+="A";
			}
		}
		else if(choice=='B')
		{
			if(s[0]=='B')
			{
				if(b>0)
				{
					b--;
					if(s[1]=='A') a++,ans+="A";
					else c++,ans+="C";
				}
				else
				{
					b++;
					ans+="B";
					if(s[1]=='A') a--;
					else c--;
				}
			}
			else if(s[1]=='B')
			{	
				if(b>0)
				{
					b--;
					if(s[0]=='A') a++,ans+="A";
					else c++,ans+="C";
				}
				else
				{
					b++;
					ans+="B";
					if(s[0]=='A') a--;
					else c--;
				}
			}
			else
			{
				if(a>c) a--,c++,ans+="B";
				else a++,c--,ans+="C";
			}
		}
		else if(choice=='A')
		{
			if(s[0]=='A')
			{
				if(a>0)
				{
					a--;
					if(s[1]=='B') b++,ans+="B";
					else c++,ans+="C";
				}
				else
				{
					a++;
					ans+="A";
					if(s[1]=='B') b--;
					else c--;
				}
			}
			else if(s[1]=='A')
			{	
				if(a>0)
				{
					a--;
					if(s[0]=='B') b++,ans+="B";
					else c++,ans+="C";
				}
				else
				{
					a++;
					ans+="A";
					if(s[0]=='B') b--;
					else c--;
				}
			}
			else
			{
				if(b>c) b--,c++,ans+="C";
				else b++,c--,ans+="B";
			}
		}
		if(min({a,b,c})<0) ok=false;
	}
	a=ta,b=tb,c=tc;
	return ok?ans:"#";
}

int main()
{
	cin>>n>>a>>b>>c;
	while(n--)
	{
		cin>>s;
		v.push_back(s);
	}

	string ansa=f('A');
	string ansb=f('B');
	string ansc=f('C');
	if(ansa!="#") cout<<"Yes\n"<<ansa;
	else if(ansb!="#") cout<<"Yes\n"<<ansb;
	else if(ansc!="#") cout<<"Yes\n"<<ansc;
	else printf("No");
}