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: Accepted)

require 'set'; require 'prime'; require 'pp'
INF=Float::INFINITY; MOD=10**9+7
n,a,b,c = gets.chomp.split.map(&:to_i)
ans = Array.new(n)
ss = []
n.times do |i|
  ss.push gets.chomp
end

n.times do |i|
  s = ss[i]
  if s == 'AB'
    if a == 0 && b == 0
      puts 'No'
      exit
    end
    if a > b || (a == 1 && b == 1 && c == 0 && i < n - 1 && ss[i+1] == 'BC')
      a -= 1
      b += 1
      ans[i] = 'B'
    else
      a += 1
      b -= 1
      ans[i] = 'A'
    end
  elsif s == 'BC'
    if b == 0 && c == 0
      puts 'No'
      exit
    end
    if b > c || (a == 0 && b == 1 && c == 1 && i < n - 1 && ss[i+1] == 'AC')
      b -= 1
      c += 1
      ans[i] = 'C'
    else
      b += 1
      c -= 1
      ans[i] = 'B'
    end
  else
    if a == 0 && c == 0
      puts 'No'
      exit
    end
    if a > c || (a == 1 && b == 0 && c == 1 && i < n - 1 && ss[i+1] == 'BC')
      a -= 1
      c += 1
      ans[i] = 'C'
    else
      a += 1
      c -= 1
      ans[i] = 'A'
    end
  end
end

puts 'Yes'
ans.each do |line|
  puts line
end