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: Time Limit Exceeded)

using System;
using System.Linq;
using System.Collections.Generic;

namespace ConsoleApp1 {
    public class Class1 {
        static void Main(string[] args) {
            var X = Console.ReadLine().Trim().Split(' ').Select(x => long.Parse(x)).ToArray();
            var N = X[0];
            var A = X[1];
            var B = X[2];
            var C = X[3];
            var com = new string[N];
            var ans = new string[N];
            var tmp = new long[N][];
            var boo = true;
            var s = true;
            for (var i = 0; i < N; i++) {
                com[i] = Console.ReadLine();
            }

            for (var i = 0; i < N; i++) {
                if (!boo)
                    break;
                tmp[i] = new long[] { A, B, C };
                
                switch (com[i]) {
                    case "AB":
                        switch (Test(ref A, ref B,s)) {
                            case -1:
                                if(i != 0) {
                                    i--;
                                    s = !s;
                                    A = tmp[i][0];
                                    B = tmp[i][1];
                                    C = tmp[i][2];
                                    i--;
                                    break;
                                }
                                boo = false;
                                break;
                            case 1:
                                ans[i] = "A";
                                break;
                            case 2:
                                ans[i] = "B";
                                break;
                        }
                        break;
                    case "AC":
                        switch (Test(ref A, ref C, s)) {
                            case -1:
                                if (i != 0) {
                                    i --;
                                    s = !s;
                                    A = tmp[i][0];
                                    B = tmp[i][1];
                                    C = tmp[i][2];
                                    i --;
                                    break;
                                }
                                boo = false;
                                break;
                            case 1:
                                ans[i] = "A";
                                break;
                            case 2:
                                ans[i] = "C";
                                break;
                        }
                        break;
                    case "BC":
                        switch (Test(ref B, ref C, s)) {
                            case -1:
                                if (i != 0) {
                                    i --;
                                    s = !s;
                                    A = tmp[i][0];
                                    B = tmp[i][1];
                                    C = tmp[i][2];
                                    i --;
                                    break;
                                }
                                boo = false;
                                break;
                            case 1:
                                ans[i] = "B";
                                break;
                            case 2:
                                ans[i] = "C";
                                break;
                        }
                        break;
                }
            }
            if (boo) {
                Console.WriteLine("Yes");
                foreach (var a in ans) {
                    Console.WriteLine(a);
                }
            } else {
                Console.Write("No");
            }
            Console.Read();
        }

        static int Test(ref long V1, ref long V2, bool b) {
            if (V1 == 0 && V2 == 0) {
                return -1;
            }
            if(V1 == 1&& V2 == 1) {
                if (b) {
                    V1++;
                    V2--;
                    return 1;
                } else {
                    V1--;
                    V2++;
                    return 2;
                }
            }
            if (V1 <= V2) {
                V1++;
                V2--;
                return 1;
            } else {
                V1--;
                V2++;
                return 2;
            }
        }
    }
}