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++ (GCC 9.2.1) (judge verdict: Wrong Answer)

#include<bits/stdc++.h>
using namespace std;
int main () {
  int N, A, B, C;
  cin >> N >> A >> B >> C;
  string s;
  cin >> s;
  if (!(A + B) && s == "AB") {
    cout << "No" << endl;
    return 0;
  }
  if (!(B + C) && s == "BC") {
    cout << "No" << endl;
    return 0;
  }
  if (!(C + A) && s == "AC") {
    cout << "No" << endl;
    return 0;
  }
  if (A + B + C >= 3) {
    cout << "Yes" << endl;
    if (s == "AB") {
      cout << (A < B ? 'A' : 'B') << endl;
    }
    if (s == "BC") {
      cout << (B < C ? 'B' : 'C') << endl;
    }
    if (s == "AC") {
      cout << (C < A ? 'C' : 'A') << endl;
    }
    for (int i = 0; i < N - 1; i ++) {
      string S;
      cin >> S;
      if (S == "AB") {
        cout << (A < B ? 'A' : 'B') << endl;
      }
      if (S == "BC") {
        cout << (B < C ? 'B' : 'C') << endl;
      }
      if (S == "AC") {
        cout << (C < A ? 'C' : 'A') << endl;
      }
    }
    return 0;
  }
  vector<string>ch(N);
  ch[0] = s;
  for (int i = 1; i < N; i ++) cin >> ch[i];
  vector<char>ans(N);
  for (int i = 0; i < N; i ++) {
    string b = ch[i];
    if (!(A + B) && b == "AB") {
      cout << "No" << endl;
      return 0;
    }
    if (!(B + C) && b == "BC") {
      cout << "No" << endl;
      return 0;
    }
    if (!(C + A) && b == "AC") {
      cout << "No" << endl;
      return 0;
    }
    if (b == "AB") {
      if (A < B) ans[i] = 'A';
      if (B < A) ans[i] = 'B';
      if (A == B) {
        if (i == N - 1) ans[i] = 'A';
        else {
          string b_ = ch[i + 1];
          if (b_ == "AB") ans[i] = 'A';
          if (b_ == "BC") ans[i] = 'B';
          if (b_ == "AC") ans[i] = 'A';
        }
      }
      if (ans[i] == 'A') {
        A ++;
        B --;
      }
      else {
        A --;
        B ++;
      }
    }
    if (b == "BC") {
      if (C < B) ans[i] = 'C';
      if (B < C) ans[i] = 'B';
      if (C == B) {
        if (i == N - 1) ans[i] = 'C';
        else {
          string b_ = ch[i + 1];
          if (b_ == "AB") ans[i] = 'B';
          if (b_ == "BC") ans[i] = 'B';
          if (b_ == "AC") ans[i] = 'C';
        }
      }
      if (ans[i] == 'C') {
        C ++;
        B --;
      }
      else {
        C --;
        B ++;
      }
    }
    if (b == "AC") {
      if (A < C) ans[i] = 'A';
      if (C < A) ans[i] = 'C';
      if (A == C) {
        if (i == N - 1) ans[i] = 'A';
        else {
          string b_ = ch[i + 1];
          if (b_ == "AB") ans[i] = 'A';
          if (b_ == "BC") ans[i] = 'C';
          if (b_ == "AC") ans[i] = 'A';
        }
      }
      if (ans[i] == 'A') {
        A ++;
        C --;
      }
      else {
        A --;
        C ++;
      }
    }
  }
  cout << "Yes" << endl;
  for (int i = 0; i < N; i ++) cout << ans[i] << endl;
}