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# (Mono-mcs 6.8.0.105) (judge verdict: Wrong Answer)

using System;

public class Hello
{
    public static void Main()
    {
        string[] line = Console.ReadLine().Trim().Split(' ');
        var n = int.Parse(line[0]);
        var a = int.Parse(line[1]);
        var b = int.Parse(line[2]);
        var c = int.Parse(line[3]);
        var cmd = new int[n];
        for (int i = 0; i < n; i++)
        {
            var s = Console.ReadLine().Trim();
            if (s == "BC") cmd[i] = 1;
            else if (s == "AC") cmd[i] = 2;
        }
        getAns(n, a, b, c, cmd);
    }
    static void abc3(int n, int a, int b, int c, int[] cmd)
    {
        var ans = new string[n];
        for (int i = 0; i < n; i++)
        {
            if (cmd[i] == 0)
            {
                if (a == 0) { a++; b--; ans[i] = "A"; }
                else if (b == 0) { b++; a--; ans[i] = "B"; }
                else { a++; b--; ans[i] = "A"; }//free
            }
            else if (cmd[i] == 1)
            {
                if (b == 0) { b++; c--; ans[i] = "B"; }
                else if (c == 0) { c++; b--; ans[i] = "C"; }
                else { b++; c--; ans[i] = "B"; }//free
            }
            else
            {
                if (c == 0) { c++; a--; ans[i] = "C"; }
                else if (a == 0) { a++; c--; ans[i] = "A"; }
                else { c++; a--; ans[i] = "C"; }//free
            }
        }
        Console.WriteLine("Yes");
        Console.WriteLine(string.Join("\n", ans));
    }
    static void abc2(int n, int a, int b, int c, int[] cmd)
    {
        var ans = new string[n];
        for (int i = 0; i < n; i++)
        {
            if (cmd[i] == 0 && a == 1 && b == 1)
            {
                if (i != n - 1)
                {
                    if (cmd[i + 1] == 1) { a--; b++; ans[i] = "B"; }
                    else if (cmd[i + 1] == 2) { a++; b--; ans[i] = "A"; }
                    else { a--; b++; ans[i] = "B"; }    // free
                }
                else
                {
                    a--; b++; ans[i] = "B";   // free
                }
            }
            else if (cmd[i] == 1 && b == 1 && c == 1)
            {
                if (i != n - 1)
                {
                    if (cmd[i + 1] == 2) { c++; b--; ans[i] = "C"; }
                    else if (cmd[i + 1] == 0) { c--; b++; ans[i] = "B"; }
                    else { c++; b--; ans[i] = "C"; }   // free
                }
                else
                {
                    c++; b--; ans[i] = "C"; // free
                }
            }
            else if (cmd[i] == 2 && c == 1 && a == 1)
            {
                if (i != n - 1)
                {
                    if (cmd[i + 1] == 0) { a++; c--; ans[i] = "A"; }
                    else if (cmd[i + 1] == 0) { a--; c++; ans[i] = "C"; }
                    else { a++; c--; ans[i] = "A"; }  // free
                }
                else
                {
                    a++; c--; ans[i] = "A";// free
                }
            }
            else if (cmd[i] == 0 && a == 0 && b == 1) { a++; b--; ans[i] = "A"; }
            else if (cmd[i] == 2 && a == 0 && c == 1) { a++; c--; ans[i] = "A"; }
            else if (cmd[i] == 1 && b == 0 && c == 1) { b++; c--; ans[i] = "B"; }
            else if (cmd[i] == 0 && b == 0 && a == 1) { b++; a--; ans[i] = "B"; }
            else if (cmd[i] == 2 && c == 0 && a == 1) { c++; a--; ans[i] = "C"; }
            else { c++; b--; ans[i] = "C"; }
        }
        Console.WriteLine("Yes");
        Console.WriteLine(string.Join("\n", ans));
    }

    static void abc1(int n, int a, int b, int c, int[] cmd)
    {
        var ans = new string[n];
        for (int i = 0; i < n; i++)
        {
            if (cmd[i] == 0 && a == 0 && b == 0) { Console.WriteLine("No"); return; }
            if (cmd[i] == 1 && b == 0 && c == 0) { Console.WriteLine("No"); return; }
            if (cmd[i] == 2 && c == 0 && a == 0) { Console.WriteLine("No"); return; }
            if (cmd[i] == 0)
            {
                if (a == 0) { a++; b--; ans[i] = "A"; }
                else { a--; b++; ans[i] = "B"; }
            }
            else if (cmd[i] == 1)
            {
                if (b == 0) { b++; c--; ans[i] = "B"; }
                else { b--; c++; ans[i] = "C"; }
            }
            else
            {
                if (c == 0) { c++; a--; ans[i] = "C"; }
                else { c--; a++; ans[i] = "A"; }
            }
        }
        Console.WriteLine("Yes");
        Console.WriteLine(string.Join("\n", ans));
    }
    static void getAns(int n, int a, int b, int c, int[] cmd)
    {
        if (a + b + c == 0) { Console.WriteLine("No"); return; }
        if (a + b + c == 1) { abc1(n, a, b, c, cmd); return; }
        if (a == 0 && b == 0 && cmd[0] == 0) { Console.WriteLine("No"); return; }
        if (b == 0 && c == 0 && cmd[0] == 1) { Console.WriteLine("No"); return; }
        if (c == 0 && a == 0 && cmd[0] == 2) { Console.WriteLine("No"); return; }
        if (a + b + c == 2) { abc2(n, a, b, c, cmd); return; }
        abc3(n, a, b, c, cmd);
    }
}