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: Accepted)

using System;
using System.Linq;
using System.Text;
using CompLib.Util;

public class Program
{
    int N, A, B, C;
    string[] S;
    char[] Ans;
    bool Flag;
    long Sum;
    public void Solve()
    {
        var sc = new Scanner();
        N = sc.NextInt();
        A = sc.NextInt();
        B = sc.NextInt();
        C = sc.NextInt();
        S = new string[N];
        for (int i = 0; i < N; i++)
        {
            S[i] = sc.Next();
        }
        Sum = A + B + C;
        Flag = false;

        Ans = new char[N];
        Search(0, A, B);
        if (!Flag)
        {
            Console.WriteLine("No");
        }
    }

    public void Search(int i, long a, long b)
    {
        if (Flag) return;
        if (i >= N)
        {
            Console.WriteLine("Yes");
            Console.WriteLine(string.Join("\n", Ans));
            Flag = true;
            return;
        }
        long c = Sum - a - b;
        if (S[i] == "AB")
        {
            if (a == 0 && b == 0) return;
            if (a > b)
            {
                Ans[i] = 'B';
                Search(i + 1, a - 1, b + 1);
                if (Flag) return;
                Ans[i] = 'A';
                if (b > 0) Search(i + 1, a + 1, b - 1);
            }
            else
            {
                Ans[i] = 'A';
                Search(i + 1, a + 1, b - 1);
                if (Flag) return;
                Ans[i] = 'B';
                if (a > 0) Search(i + 1, a - 1, b + 1);
            }
        }
        if (S[i] == "AC")
        {
            if (a == 0 && c == 0) return;
            if (a > c)
            {
                Ans[i] = 'C';
                Search(i + 1, a - 1, b);
                if (Flag) return;
                Ans[i] = 'A';
                if (c > 0) Search(i + 1, a + 1, b);
            }
            else
            {
                Ans[i] = 'A';
                Search(i + 1, a + 1, b);
                if (Flag) return;
                Ans[i] = 'C';
                if (a > 0) Search(i + 1, a - 1, b);
            }
        }
        if (S[i] == "BC")
        {
            if (b == 0 && c == 0) return;
            if (b > c)
            {
                Ans[i] = 'C';
                Search(i + 1, a, b - 1);
                if (Flag) return;
                Ans[i] = 'B';
                if (c > 0) Search(i + 1, a, b + 1);
            }
            else
            {
                Ans[i] = 'B';
                Search(i + 1, a, b + 1);
                if (Flag) return;
                Ans[i] = 'C';
                if (b > 0) Search(i + 1, a, b - 1);
            }
        }
    }

    public static void Main(string[] args) => new Program().Solve();
}

namespace CompLib.Util
{
    using System;
    using System.Linq;

    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();
    }
}