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)

abc = [a, b, c]
mapping = { 'AB' => [0, 1], 'BC' => [1, 2], 'AC' => [2, 0] }

ss = []
n.times do
  ss << mapping[gets.rstrip]
end

outputs = []
outmap = ['A', 'B', 'C']

n.times do |i|
  x, y = ss[i]

  if abc[x] <= 0 and abc[y] <= 0
    puts 'No'
    exit
  end

  if abc[x] == abc[y] and i < n - 1
    # lookahead
    nxy = ss[i + 1]

    if nxy.include?(x)
      outputs << x
      abc[x] += 1
      abc[y] -= 1
    elsif nxy.include?(y)
      outputs << y
      abc[y] += 1
      abc[x] -= 1
    end
  elsif abc[x] < abc[y]
    outputs << x
    abc[x] += 1
    abc[y] -= 1
  else
    outputs << y
    abc[y] += 1
    abc[x] -= 1
  end
  p abc
end

puts 'Yes'
outputs.each do |oc|
  puts outmap[oc]
end