Problem: Acacius is studying strings theory. Today he came with the following problem.

You are given a string s of length n consisting of lowercase English letters and question marks. It is possible to replace question marks with lowercase English letters in such a way that a string "abacaba" occurs as a substring in a resulting string exactly once?

Each question mark should be replaced with exactly one lowercase English letter. For example, string "a?b?c" can be transformed into strings "aabbc" and "azbzc", but can't be transformed into strings "aabc", "a?bbc" and "babbc".

Occurrence of a string t of length m in the string s of length n as a substring is a index i (1 ≤ i ≤ n - m + 1) such that string s[i..i+m-1] consisting of m consecutive symbols of s starting from i-th equals to string t. For example string "ababa" has two occurrences of a string "aba" as a substring with i = 1 and i = 3, but there are no occurrences of a string "aba" in the string "acba" as a substring.

Please help Acacius to check if it is possible to replace all question marks with lowercase English letters in such a way that a string "abacaba" occurs as a substring in a resulting string exactly once.

Input

First line of input contains an integer T (1 ≤ T ≤ 5000), number of test cases. T pairs of lines with test case descriptions follow.

The first line of a test case description contains a single integer n (7 ≤ n ≤ 50), length of a string s.

The second line of a test case description contains string s of length n consisting of lowercase English letters and question marks.

Output

For each test case output an answer for it.

In case if there is no way to replace question marks in string s with a lowercase English letters in such a way that there is exactly one occurrence of a string "abacaba" in the resulting string as a substring output "No".

Otherwise output "Yes" and in the next line output a resulting string consisting of n lowercase English letters. If there are multiple possible strings, output any.

You may print every letter in "Yes" and "No" in any case you want (so, for example, the strings yEs, yes, Yes, and YES will all be recognized as positive answer).

Example

Input


6
7
abacaba
7
???????
11
aba?abacaba
11
abacaba?aba
15
asdf???f???qwer
11
abacabacaba


Output


Yes
abacaba
Yes
abacaba
Yes
abadabacaba
Yes
abacabadaba
No
No

Note

In first example there is exactly one occurrence of a string "abacaba" in the string "abacaba" as a substring.

In second example seven question marks can be replaced with any seven lowercase English letters and with "abacaba" in particular.

In sixth example there are two occurrences of a string "abacaba" as a substring.

Solution (in PYTHON3):

Solution:
cases = int(input())

for i in range(cases):
    n = int(input())
    s = input()
    count = 0

    for a in range(len(s)-6):
        ele = s[a]
        temp = ele
        for b in s[a+1:a+7]:
            temp += b
            if temp == 'abacaba':
                count += 1
    if count >1:
        print ("NO")
    
    elif s.count('?') == len(s): #all question marks in string
        print ("YES")
        ans = 'abacaba'
        rest = len(s) - 7
        ans += rest*'d'
        print (ans)
    
    else:   
        if count == 1: #there is one substring in string
            if '?' not in s:
                print ("YES")
                print (s)
            else:
                s = list(s)
                for c in range(len(s)):
                    ele = s[c]
                    if ele == '?':
                        s[c] = 'd'
                print("YES")
                print (''.join(s))
        elif count == 0 and '?' in s:
            target = 'abacaba'
            for d in range(len(s)-6):
                possible = False
                scopy = list(s)
                ele = scopy[d]
                temp = ele
                for e in scopy[d+1:d+7]:
                    temp += e
                #double nested loops
                #still inside second nested loop
                if '?' in temp:
                    #inside first loop
                    temp = list(temp)
                    target = list(target)
                    arr = []
                    for j in range(7):
                        ele1 = temp[j]
                        ele2 = target[j]
                        if ele1!= ele2 and ele1 == '?':
                            temp[j] = ele2
                            arr.append(j)
                    if temp == target: #possible to replace ?  to form substring
                        possible = True
                        for f in arr:
                            scopy[d+f] = temp[f]
                    count2 = 0
                    if possible:
                        for a in range(len(scopy)-6):
                            ele3 = scopy[a]
                            temp2 = ele3
                            for b in scopy[a+1:a+7]:
                                temp2 += b
                                if temp2 == 'abacaba':
                                    count2 += 1
                        if count2 != 1:
                                possible = False
                        elif count2 == 1:
                            possible = True
                            print ("YES")      
                            for s2 in range(len(scopy)):
                                beta = scopy[s2]
                                if beta == '?':                                        
                                    scopy[s2] = 'd'
                            print (''.join(scopy))
                            break
                        

            if not possible:
                print ("NO")
        elif count == 0 and '?' not in s:
            print("NO")