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
def input():
	return sys.stdin.readline()[:-1]

def included(x):
	if x == "AB":
		return 0, 1
	elif x == "BC":
		return 1, 2
	else:
		return 0, 2

def ans(x):
	l = ["A", "B", "C"]
	return l[x]

n, a, b, c = map(int, input().split())
nums = [a, b, c]
s = [input() for _ in range(n)]
res = []
for i, x in enumerate(s):
	y, z = included(x)
	if nums[y] == nums[z] == 0:
		print("No")
		break
	if i == n-1:
		if nums[y] >= nums[z]:
			res.append(ans(z))
		elif nums[z] > nums[y]:
			res.append(ans(y))
	else:
		if nums[y] > nums[z]:
			res.append(ans(z))
			nums[y] -= 1
			nums[z] += 1
		elif nums[z] > nums[y]:
			res.append(ans(y))
			nums[z] -= 1
			nums[y] += 1
		elif z in included(s[i+1]):
			res.append(ans(z))
			nums[y] -= 1
			nums[z] += 1
		else:
			res.append(ans(y))
			nums[z] -= 1
			nums[y] += 1
else:
	print("Yes")
	print(*res, sep="\n")