Problem: 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.

Examples

Input

2 1 3 0
AB
AC


Output

Yes
A
C


Input

3 1 0 0
AB
BC
AB


Output

No


Input

1 0 9 0
AC


Output

No


Input

8 6 9 1
AC
BC
AB
BC
AC
BC
AB
AB


Output

Yes
C
B
B
C
C
B
A
A

Solution (in JAVA):

Solution:
import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.io.IOException;
import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.io.InputStream;

import java.util.*;

public class Main {
	public static void main(String[] args) {
		InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        InputReader in = new InputReader(inputStream);
        PrintWriter out = new PrintWriter(outputStream);

        int N = in.nextInt();
        int A = in.nextInt();
        int B = in.nextInt();
        int C = in.nextInt();
        int[] s_ = new int[N];
        for (int i=0;i<N;i++) {
        	String s = in.next();
        	if (s.equals("AB")) s_[i] = 0;
        	else if (s.equals("BC")) s_[i] = 1;
        	else if (s.equals("AC")) s_[i] = 2;
        }

        // out.println("Yes");
        StringBuilder sb = new StringBuilder();
        for (int i=0;i<N;i++) {
        	if (s_[i] == 0) {
        		if (A>1) {
        			A--;
        			B++;
        			sb.append("B\n");
        		} else if (B>1) {
        			A++;
        			B--;
        			sb.append("A\n");
        		} else if (A==1 && B==0) {
        			A--;
        			B++;
        			sb.append("B\n");
        		} else if (A==0 && B==1) {
        			A++;
        			B--;
        			sb.append("A\n");
        		} else if (A==1 && B==1) {
        			if (i==N-1) {
        				A--;
        				B++;
        				sb.append("B\n");
        			} else if (s_[i+1] == 0) {
        				A--;
        				B++;
        				sb.append("B\n");
        			} else if (s_[i+1] == 1) {
        				A--;
        				B++;
        				sb.append("B\n");
        			} else if (s_[i+1] == 2) {
        				A++;
        				B--;
        				sb.append("A\n");
        			}
        		} if (A<=0 && B<=0) {
        			System.out.println("No");
        			return;
        		}
        	} else if (s_[i] == 1) {
        		if (B>1) {
        			B--;
        			C++;
        			sb.append("C\n");
        		} else if (C>1) {
        			B++;
        			C--;
        			sb.append("B\n");
        		} else if (B==1 && C==0) {
        			B--;
        			C++;
        			sb.append("C\n");
        		} else if (B==0 && C==1) {
        			B++;
        			C--;
        			sb.append("B\n");
        		} else if (B==1 && C==1) {
        			if (i==N-1) {
        				B--;
        				C++;
        				sb.append("C\n");
        			} else if (s_[i+1] == 0) {
        				B++;
        				C--;
        				sb.append("B\n");
        			} else if (s_[i+1] == 1) {
        				B--;
        				C++;
        				sb.append("C\n");
        			} else if (s_[i+1] == 2) {
        				B--;
        				C++;
        				sb.append("C\n");
        			}
        		} if (B<=0 && C<=0) {
        			System.out.println("No");
        			return;
        		}

        	} else if (s_[i] == 2) {
        		if (A>1) {
        			A--;
        			C++;
        			sb.append("C\n");
        		} else if (C>1) {
        			A++;
        			C--;
        			sb.append("A\n");
        		} else if (A==1 && C==0) {
        			A--;
        			C++;
        			sb.append("C\n");
        		} else if (A==0 && C==1) {
        			A++;
        			C--;
        			sb.append("A\n");
        		} else if (A==1 && C==1) {
        			if (i==N-1) {
        				A--;
        				C++;
        				sb.append("C\n");
        			} else if (s_[i+1] == 0) {
        				A++;
        				C--;
        				sb.append("A\n");
        			} else if (s_[i+1] == 1) {
        				A--;
        				C++;
        				sb.append("C\n");
        			} else if (s_[i+1] == 2) {
        				A++;
        				C--;
        				sb.append("A\n");
        			}
        		} if (A<=0 && C<=0) {
        			System.out.println("No");
        			return;
        		}
        	}
        }

        out.println("Yes");
        out.println(sb);
		out.close();
	}

	static class InputReader {
        public BufferedReader reader;
        public StringTokenizer tokenizer;

        public InputReader(InputStream stream) {
            reader = new BufferedReader(new InputStreamReader(stream), 32768);
            tokenizer = null;
        }

        public String next() {
            while (tokenizer == null || !tokenizer.hasMoreTokens()) {
                try {
                    tokenizer = new StringTokenizer(reader.readLine());
                } catch (IOException e) {
                    throw new RuntimeException(e);
                }
            }
            return tokenizer.nextToken();
        }

        public int nextInt() {
            return Integer.parseInt(next());
        }

        public long nextLong() {
            return Long.parseLong(next());
        }

    }
}