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 <iostream>
#include <vector>
#include <string>
#include <cstring>
#include <cmath>
#include <algorithm>
#include <iomanip>
#include <assert.h>
#include <numeric>
#include <time.h>

using namespace std;

#define ll long long
#define rep(i, n) for (i = 0; i < n; i++)

int main()
{
  int n;
  ll a, b, c;
  cin >> n >> a >> b >> c;
  vector<string> s(n);
  for (int i = 0; i < n; i++)
  {
    cin >> s[i];
  }

  ll sm = a + b + c;
  vector<char> v(n);
  if (sm == 0)
  {
    cout << "No" << endl;
    return 0;
  }
  else if (sm == 1)
  {
    for (int i = 0; i < n; i++)
    {
      if (s[i] == "AB")
      {
        if (a == 0 && b == 0)
        {
          cout << "No" << endl;
          return 0;
        }
        else
        {
          if (a == 0)
          {
            a++;
            b--;
            v[i] = 'A';
          }
          else
          {
            a--;
            b++;
            v[i] = 'B';
          }
        }
      }
      else if (s[i] == "AC")
      {
        if (a == 0 && c == 0)
        {
          cout << "No" << endl;
          return 0;
        }
        else
        {
          if (a == 0)
          {
            a++;
            c--;
            v[i] = 'A';
          }
          else
          {
            a--;
            c++;
            v[i] = 'C';
          }
        }
      }
      else
      {
        if (b == 0 && c == 0)
        {
          cout << "No" << endl;
          return 0;
        }
        else
        {
          if (b == 0)
          {
            b++;
            c--;
            v[i] = 'B';
          }
          else
          {
            b--;
            c++;
            v[i] = 'C';
          }
        }
      }
    }
    cout << "Yes" << endl;
    for (int i = 0; i < n; i++)
    {
      cout << v[i] << endl;
    }
    return 0;
  }
  else if (sm == 2)
  {
    for (int i = 0; i < n; i++)
    {
      if (s[i] == "AB")
      {
        if (a == 0 && b == 0)
        {
          cout << "No" << endl;
          return 0;
        }
        else
        {
          if (a == 0)
          {
            a++;
            b--;
            v[i] = 'A';
          }
          else if (b == 0)
          {
            a--;
            b++;
            v[i] = 'B';
          }
          else
          {
            if (i == n - 1)
            {
              a++;
              b--;
              v[i] = 'A';
            }
            else
            {
              if (s[i + 1] == "AB")
              {
                a++;
                b--;
                v[i] = 'A';
              }
              else if (s[i + 1] == "AC")
              {
                a++;
                b--;
                v[i] = 'A';
              }
              else
              {
                a--;
                b++;
                v[i] = 'B';
              }
            }
          }
        }
      }
      else if (s[i] == "AC")
      {
        if (a == 0 && c == 0)
        {
          cout << "No" << endl;
          return 0;
        }
        else
        {
          if (a == 0)
          {
            a++;
            c--;
            v[i] = 'A';
          }
          else if (c == 0)
          {
            a--;
            c++;
            v[i] = 'C';
          }
          else
          {
            if (i == n - 1)
            {
              a++;
              c--;
              v[i] = 'A';
            }
            else
            {
              if (s[i + 1] == "AC")
              {
                a++;
                c--;
                v[i] = 'A';
              }
              else if (s[i + 1] == "AB")
              {
                a++;
                c--;
                v[i] = 'A';
              }
              else
              {
                a--;
                c++;
                v[i] = 'C';
              }
            }
          }
        }
      }
      else
      {
        if (b == 0 && c == 0)
        {
          cout << "No" << endl;
          return 0;
        }
        else
        {
          if (b == 0)
          {
            b++;
            c--;
            v[i] = 'B';
          }
          else if (c == 0)
          {
            b--;
            c++;
            v[i] = 'C';
          }
          else
          {
            if (i == n - 1)
            {
              b++;
              c--;
              v[i] = 'B';
            }
            else
            {
              if (s[i + 1] == "BC")
              {
                b++;
                c--;
                v[i] = 'B';
              }
              else if (s[i + 1] == "AB")
              {
                b++;
                c--;
                v[i] = 'B';
              }
              else
              {
                b--;
                c++;
                v[i] = 'C';
              }
            }
          }
        }
      }
    }
    cout << "Yes" << endl;
    for (int i = 0; i < n; i++)
    {
      cout << v[i] << endl;
    }
    return 0;
  }
  else
  {
    if (a == 0 && b == 0 && s[0] == "AB")
    {
      cout << "No" << endl;
      return 0;
    }
    else if (a == 0 && c == 0 && s[0] == "AC")
    {
      cout << "No" << endl;
      return 0;
    }
    else if (b == 0 && c == 0 && s[0] == "BC")
    {
      cout << "No" << endl;
      return 0;
    }
    cout << "Yes" << endl;
    for (int i = 0; i < n; i++)
    {
      if (s[i] == "AB")
      {
        if (a == 0 || a == 1)
        {
          a++;
          b--;
          v[i] = 'A';
        }
        else
        {
          a--;
          b++;
          v[i] = 'B';
        }
      }
      else if (s[i] == "AC")
      {
        if (a == 0 || a == 1)
        {
          a++;
          c--;
          v[i] = 'A';
        }
        else
        {
          a--;
          c++;
          v[i] = 'C';
        }
      }
      else
      {
        if (b == 0 || b == 1)
        {
          b++;
          c--;
          v[i] = 'B';
        }
        else
        {
          b--;
          c++;
          v[i] = 'C';
        }
      }
    }
    for (int i = 0; i < n; i++)
    {
      cout << v[i] << endl;
    }
    return 0;
  }
}