Problem: 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.

Examples

Input

2 1 3 0
AB
AC


Output

Yes
A
C


Input

3 1 0 0
AB
BC
AB


Output

No


Input

1 0 9 0
AC


Output

No


Input

8 6 9 1
AC
BC
AB
BC
AC
BC
AB
AB


Output

Yes
C
B
B
C
C
B
A
A

Solution (in PYTHON3):

Solution:
import sys

n,a,b,c = map(int,input().split())
d = {'A':a,'B':b,'C':c}

s = []
for _ in range(n):
	s.append(input())

ans = []
for i in range(n):

	if d[s[i][0]] <= 0 and d[s[i][1]] <= 0:
		print('No')
		sys.exit()
	if d[s[i][0]] < d[s[i][1]]:
		d[s[i][1]] -= 1
		d[s[i][0]] += 1
		ans.append(s[i][0])
	elif d[s[i][0]] > d[s[i][1]]:
		d[s[i][0]] -= 1
		d[s[i][1]] += 1
		ans.append(s[i][1])
	else:
		if i < n-1 and s[i+1].strip(s[i]) != '' and d[s[i+1].strip(s[i])] == 0:
			string = s[i+1].strip(s[i+1].strip(s[i]))
			d[string] += 1
			d[s[i].strip(string)] -= 1
			ans.append(s[i+1].strip(s[i+1].strip(s[i])))
		else:
			d[s[i][0]] += 1
			d[s[i][1]] -= 1
			ans.append(s[i][0])
print('Yes')
for i in range(len(ans)):
	print(ans[i])