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 Ruby (2.7.1) (judge verdict: Wrong Answer)

N, A, B, C = gets.split.map(&:to_i)
S = N.times.map { gets.chomp }

ans = []
counter = Hash.new(0)
counter['A'] = A
counter['B'] = B
counter['C'] = C

N.times do |i|
  s1, s2 = S[i].chars

  if counter[s1] == 0 && counter[s2] == 0
    puts 'No'
    exit
  end

  if i == N - 1
    if counter[s1] < counter[s2]
      counter[s1] += 1
      counter[s2] -= 1
      ans << s1
    else
      counter[s2] += 1
      counter[s1] -= 1
      ans << s2
    end
  else
    if counter[s1] < counter[s2]
      counter[s1] += 1
      counter[s2] -= 1
      ans << s1
    elsif counter[s1] > counter[s2]
      counter[s2] += 1
      counter[s1] -= 1
      ans << s2
    else
      ns1, ns2 = S[i + 1].chars

      if s1 == ns1 && s2 == ns2
        counter[s1] += 1
        counter[s2] -= 1
        ans << s1
      else
        t = [s1, s2] & [ns1, ns2]

        if s1 == t
          counter[s1] += 1
          counter[s2] -= 1
          ans << s1
        else
          counter[s2] += 1
          counter[s1] -= 1
          ans << s2
        end
      end
    end
  end
end

puts 'Yes'
puts ans