Problem: Vasya has a multiset s consisting of n integer numbers. Vasya calls some number x nice if it appears in the multiset exactly once. For example, multiset \{1, 1, 2, 3, 3, 3, 4\} contains nice numbers 2 and 4.

Vasya wants to split multiset s into two multisets a and b (one of which may be empty) in such a way that the quantity of nice numbers in multiset a would be the same as the quantity of nice numbers in multiset b (the quantity of numbers to appear exactly once in multiset a and the quantity of numbers to appear exactly once in multiset b).

Input

The first line contains a single integer n~(2 ≤ n ≤ 100).

The second line contains n integers s_1, s_2, ... s_n~(1 ≤ s_i ≤ 100) — the multiset s.

Output

If there exists no split of s to satisfy the given requirements, then print "NO" in the first line.

Otherwise print "YES" in the first line.

The second line should contain a string, consisting of n characters. i-th character should be equal to 'A' if the i-th element of multiset s goes to multiset a and 'B' if if the i-th element of multiset s goes to multiset b. Elements are numbered from 1 to n in the order they are given in the input.

If there exist multiple solutions, then print any of them.

Examples

Input

4
3 5 7 1


Output

YES
BABA


Input

3
3 5 1


Output

NO

Solution (in PYTHON3):

Solution:
from sys import stdin,stdout,exit
def sin(): 
	return stdin.readline().rstrip()
def listInput():
	return list(map(int,sin().split()))
def printBS(li):
	if not li: return
	for i in range(len(li)-1):
		stdout.write("%d "%(li[i]))
	stdout.write("%d\n"%(li[-1]))

n = int(sin())
li = listInput()
dic = {}
for i in li:
	if i not in dic:
		dic[i]=1
	else: dic[i]+=1

nice = [i for i in dic if dic[i]==1]

if len(nice)%2==1:
	alt = -1
	for i in dic:
		if dic[i]>2:
			alt=i
			break
	if alt==-1:
		print('NO')
	else:
		a,b = nice[:len(nice)//2+1],nice[len(nice)//2+1:]
		a = set(a)
		b = set(b)
		alt_done=False
		ans = ""
		for i in li:
			if i in a :
				ans+='A'
			elif i in b:
				ans+='B'
			elif i==alt and not alt_done:
				ans+='B'
				alt_done=True
			else:
				ans+='A'
		print('YES')
		print(ans)

else:
	a,b = nice[:len(nice)//2],nice[len(nice)//2:]
	a = set(a)
	b = set(b)
	ans = ""
	for i in li:
		if i in a :
			ans+='A'
		else:
			ans+='B'
	print('YES')
	print(ans)