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# (.NET Core 3.1.201) (judge verdict: Wrong Answer)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using static System.Console;
using static System.Math;

namespace AtTest.ABC_166
{
    class F
    {
        static void Main(string[] args)
        {
            var sw = new System.IO.StreamWriter(OpenStandardOutput()) { AutoFlush = false };
            SetOut(sw);

            Method(args);

            Out.Flush();
        }

        static void Method(string[] args)
        {
            int[] nabc = ReadInts();
            int n = nabc[0];
            long a = nabc[1];
            long b = nabc[2];
            long c = nabc[3];
            string[] ss = new string[n];
            for(int i = 0; i < n; i++)
            {
                ss[i] = Read();
            }
            if (a == 0 && b == 0 && c == 0)
            {
                WriteLine("No");
                return;
            }
            if (ss[0] == "AB" && a == 0 && b == 0)
            {
                WriteLine("No");
                return;
            }
            if (ss[0] == "AC" && a == 0 && c == 0)
            {
                WriteLine("No");
                return;
            }
            if (ss[0] == "BC" && b == 0 && c == 0)
            {
                WriteLine("No");
                return;
            }

            long sum = a + b + c;
            if (sum == 1)
            {
                int pos = 0;
                if (b > 0)
                {
                    pos = 1;
                }
                if (c > 0)
                {
                    pos = 2;
                }
                char[] res = new char[n];

                for (int i = 0; i < n; i++)
                {
                    if (ss[i] == "AB")
                    {
                        if (pos == 2)
                        {
                            WriteLine("No");
                            return;
                        }
                        if (pos == 0)
                        {
                            pos = 1;
                            res[i] = 'B';
                        }
                        else
                        {
                            pos = 0;
                            res[i] = 'A';
                        }
                    }
                    if (ss[i] == "AC")
                    {
                        if (pos == 1)
                        {
                            WriteLine("No");
                            return;
                        }
                        if (pos == 0)
                        {
                            pos = 2;
                            res[i] = 'C';
                        }
                        else
                        {
                            pos = 0;
                            res[i] = 'A';
                        }
                    }
                    if (ss[i] == "BC")
                    {
                        if (pos == 0)
                        {
                            WriteLine("No");
                            return;
                        }
                        if (pos == 1)
                        {
                            pos = 2;
                            res[i] = 'C';
                        }
                        else
                        {
                            pos = 1;
                            res[i] = 'B';
                        }
                    }
                }

                WriteLine("Yes");
                for (int i = 0; i < n; i++)
                {
                    WriteLine(res[i]);
                }
            }
            else
            {
                WriteLine("Yes");
                for (int i = 0; i < n; i++)
                {
                    if (ss[i] == "AB")
                    {
                        if (a == 0||
                            (a == 1 && i + 1 < n && ss[i + 1] == "AC"))
                        {
                            WriteLine("A");
                            a++;
                            b--;
                        }
                        else
                        {
                            WriteLine("B");
                            a--;
                            b++;
                        }
                    }
                    if (ss[i] == "AC")
                    {
                        if (a == 0 ||
                            (a == 1 && i + 1 < n && ss[i + 1] == "AB"))
                        {
                            WriteLine("A");
                            a++;
                            c--;
                        }
                        else
                        {
                            WriteLine("C");
                            a--;
                            c++;
                        }
                    }
                    if (ss[i] == "BC")
                    {
                        if (b == 0 ||
                            (b == 1 && i + 1 < n && ss[i + 1] == "AB"))
                        {
                            WriteLine("B");
                            b++;
                            c--;
                        }
                        else
                        {
                            WriteLine("C");
                            b--;
                            c++;
                        }
                    }
                }
            }
        }

        private static string Read() { return ReadLine(); }
        private static char[] ReadChars() { return Array.ConvertAll(Read().Split(), a => a[0]); }
        private static int ReadInt() { return int.Parse(Read()); }
        private static long ReadLong() { return long.Parse(Read()); }
        private static double ReadDouble() { return double.Parse(Read()); }
        private static int[] ReadInts() { return Array.ConvertAll(Read().Split(), int.Parse); }
        private static long[] ReadLongs() { return Array.ConvertAll(Read().Split(), long.Parse); }
        private static double[] ReadDoubles() { return Array.ConvertAll(Read().Split(), double.Parse); }
    }
}