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;

public class AtCoderA
{
    static void Main()
    {
        var sc = new Scanner();

        long n = sc.NextLong();
        long a = sc.NextLong();
        long b = sc.NextLong();
        long c = sc.NextLong();

        string[] strs = new string[n];
        for (int i = 0; i < n; i++)
        {
            strs[i] = sc.Next();
        }

        List<string> answers = new List<string>();

        for (int i = 0; i < n; i++)
        {
            string s = strs[i];
            if (s == "AB")
            {
                if (a == 0 && b == 0)
                {
                    Console.WriteLine("No");
                    return;
                }
                if (a == b)
                {
                    if (i == n - 1)
                    {
                        answers.Add("A");
                        a++;
                        b--;
                    }
                    else
                    {
                        string next = strs[i + 1];
                        if (next == "AC")
                        {
                            answers.Add("A");
                            a++;
                            b--;
                        }
                        else
                        {
                            answers.Add("B");
                            a--;
                            b++;
                        }
                    }
                }
                else if (a > b)
                {
                    answers.Add("B");
                    a--;
                    b++;
                }
                else
                {
                    answers.Add("A");
                    a++;
                    b--;
                }
            }
            if (s == "AC")
            {
                if (a == 0 && c == 0)
                {
                    Console.WriteLine("No");
                    return;
                }
                if (a == c)
                {
                    if (i == n - 1)
                    {
                        answers.Add("A");
                        a++;
                        c--;
                    }
                    else
                    {
                        string next = strs[i + 1];
                        if (next == "AB")
                        {
                            answers.Add("A");
                            a++;
                            c--;
                        }
                        else
                        {
                            answers.Add("C");
                            a--;
                            c++;
                        }
                    }
                }
                else if (a > c)
                {
                    answers.Add("C");
                    a--;
                    c++;
                }
                else
                {
                    answers.Add("A");
                    a++;
                    c--;
                }
            }
            if (s == "BC")
            {
                if (b == 0 && c == 0)
                {
                    Console.WriteLine("No");
                    return;
                }
                if (b == c)
                {
                    if (i == n - 1)
                    {
                        answers.Add("B");
                        b++;
                        c--;
                    }
                    else
                    {
                        string next = strs[i + 1];
                        if (next == "AB")
                        {
                            answers.Add("B");
                            b++;
                            c--;
                        }
                        else
                        {
                            answers.Add("C");
                            a--;
                            c++;
                        }
                    }
                }
                else if (b > c)
                {
                    answers.Add("C");
                    b--;
                    c++;
                }
                else
                {
                    answers.Add("B");
                    b++;
                    c--;
                }
            }
        }

        Console.WriteLine("Yes");
        foreach (var answer in answers)
        {
            Console.WriteLine(answer);
        }
    }

    class Scanner
    {
        private string[] _line;
        private int _index;
        private const char Separator = ' ';

        public Scanner()
        {
            _line = new string[0];
            _index = 0;
        }

        public string Next()
        {
            while (_index >= _line.Length)
            {
                _line = Console.ReadLine().Split(Separator);
                _index = 0;
            }

            return _line[_index++];
        }

        public int NextInt() => int.Parse(Next());
        public long NextLong() => long.Parse(Next());
        public double NextDouble() => double.Parse(Next());
        public decimal NextDecimal() => decimal.Parse(Next());
        public char NextChar() => Next()[0];
        public char[] NextCharArray() => Next().ToCharArray();

        public string[] Array()
        {
            _line = Console.ReadLine().Split(Separator);
            _index = _line.Length;
            return _line;
        }

        public int[] IntArray() => Array().Select(int.Parse).ToArray();
        public long[] LongArray() => Array().Select(long.Parse).ToArray();
        public double[] DoubleArray() => Array().Select(double.Parse).ToArray();
        public decimal[] DecimalArray() => Array().Select(decimal.Parse).ToArray();
    }
}