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 JAVA):

Solution:
import java.io.*;
import java.util.*;
import java.lang.*;

public class c1 {
    public static MyScanner scan;
    public static PrintWriter out;
    public static void main(String[] args) {
        scan=new MyScanner();
        out=new PrintWriter(new BufferedOutputStream(System.out));

//        int t=1;
        int t=scan.nextInt();
        while(t-->0) {

            int n=scan.nextInt();
            String s=scan.nextLine();
            boolean ans=false;
            String fin="";
            o: for(int i=0;i<n;i++) {
                if(s.charAt(i)=='?'||s.charAt(i)=='a') {
                    if(check(s.substring(i,Math.min(i+7,s.length())))) {
                        StringBuilder sb=new StringBuilder();
                        for(int j=0;j<i;j++) {
                            if(s.charAt(j)=='?') sb.append("z");
                            else sb.append(Character.toString(s.charAt(j)));
                        }
                        sb.append("abacaba");
                        for(int j=i+7;j<n;j++) {
                            if(s.charAt(j)=='?') sb.append("z");
                            else sb.append(Character.toString(s.charAt(j)));
                        }
                        if(cnt(sb)==1) {
                            ans=true;
                            fin+=sb.toString();
                            break o;
                        }
                    }
                }
            }
            out.println((ans)?"YES\n"+fin:"NO");
        }
        out.close();
    }

    //-----------------------------------------------------COMP-SPACE-----------------------------------------------------

    public static boolean check(String s) {
        String ans="abacaba";
        if(s.length()==7) {
            for(int c=0;c<7;c++) if(s.charAt(c)!='?'&&s.charAt(c)!=ans.charAt(c)) return false;
            return true;
        } else return false;
    }

    public static int cnt(StringBuilder sb) {
        int cnt=0;
        String s=sb.toString();
        for(int i=0;i<sb.length();i++) {
            if(s.charAt(i)=='?'||s.charAt(i)=='a') {
                if(check(s.substring(i,Math.min(i+7,s.length())))) cnt++;
            }
        }
        return cnt;
    }

    //--------------------------------------------------------------------------------------------------------------------

    //node
    static class Node implements Comparable<Node> {
        public int x,y;
        public Node(int x,int y) {
            this.x=x;
            this.y=y;
        }

        public int compareTo(Node other) {
            if(this.x==other.x) return 0;
            else if(this.x>other.x) return 1;
            else return -1;
        }

        public boolean equals(Node other) {
            return this.x==other.x;
        }

//        public int compareTo(Node other) {
//            if(this.y==other.y) return 0;
//            else if(this.y>other.y) return 1;
//            else return -1;
//        }
//
//        public boolean equals(Node other) {
//            return this.y==other.y;
//        }
    }
    //edge
    static class Edge implements Comparable<Edge> {
        public Node a,b;
        public int weight;

        public Edge(Node a,Node b,int weight) {
            this.a=a;
            this.b=b;
            this.weight=weight;
        }

        public int compareTo(Edge other) {
            if(this.weight==other.weight) return 0;
            else if(this.weight>other.weight) return 1;
            else return -1;
        }
    }

    //util
    public static int gcd(int a, int b) {
        if (b == 0)
            return a;
        if (a == 0)
            return b;
        return (a > b) ? gcd(a % b, b) : gcd(a, b % a);
    }

    public static int lcm(int a, int b) {
        return a * b / gcd(a, b);
    }

    public static int min(int a,int b) {
        if(a<=b) return a;
        else return b;
    }

    public static int max(int a,int b) {
        if(a>=b) return a;
        else return b;
    }

    public static int abs(int a) {
        if(a<0) return a*-1;
        else return a;
    }

    public static ArrayList<Integer> getPrimes(int n) {
        boolean prime[]=new boolean[n+1];
        Arrays.fill(prime,true);
        for (int p=2;p*p<=n;p++) {
            if (prime[p]) {
                for (int i=p*2;i<=n;i+=p) {
                    prime[i]=false;
                }
            }
        }
        ArrayList<Integer> primeNumbers=new ArrayList<Integer>();
        for (int i = 2; i <= n; i++) {
            if (prime[i]) {
                primeNumbers.add(i);
            }
        }
        return primeNumbers;
    }

    public static boolean isPrime(int a) {
        if (a == 0 || a == 1) {
            return false;
        }
        if (a == 2) {
            return true;
        }
        for (int i = 2; i < Math.sqrt(a) + 1; i++) {
            if (a % i == 0) {
                return false;
            }
        }
        return true;
    }

    public static ArrayList<Integer> getDivisors(int n) {
        ArrayList<Integer> div = new ArrayList<Integer>();
        for (int i=1;i*i<=n;i++) {
            if (n%i==0) {
                div.add(i);
                if (n/i!=i)
                    div.add(n/i);
            }
        }
        return div;
    }

    //scanner
    public static class MyScanner {
        BufferedReader br;
        StringTokenizer st;

        public MyScanner() {
            br = new BufferedReader(new InputStreamReader(System.in));
        }

        String next() {
            while (st == null || !st.hasMoreElements()) {
                try {
                    st = new StringTokenizer(br.readLine());
                } catch (IOException e) {
                    e.printStackTrace();
                }
            }
            return st.nextToken();
        }

        int nextInt() {
            return Integer.parseInt(next());
        }

        long nextLong() {
            return Long.parseLong(next());
        }

        double nextDouble() {
            return Double.parseDouble(next());
        }

        String nextLine() {
            String str = "";
            try {
                str = br.readLine();
            } catch (IOException e) {
                e.printStackTrace();
            }
            return str;
        }
    }

    public static int[] nextIntArray(int n) {
        int[] a=new int[n];
        for(int c=0;c<n;c++) a[c]=scan.nextInt();
        return a;
    }

    public static Integer[] nextIntegerArray(int n) {
        Integer[] a=new Integer[n];
        for(int c=0;c<n;c++) a[c]=scan.nextInt();
        return a;
    }

    public static int[][] nextIntMatrix(int n,int m) {
        int[][] a=new int[n][m];
        for(int i=0;i<n;i++) for(int j=0;j<m;j++) a[i][j]=scan.nextInt();
        return a;
    }

    public static Integer[][] nextIntegerMatrix(int n,int m) {
        Integer[][] a=new Integer[n][m];
        for(int i=0;i<n;i++) for(int j=0;j<m;j++) a[i][j]=scan.nextInt();
        return a;
    }

    //print
    public static void printIntArray(int[] a) {
        for(int c:a) out.print(c+" ");
        out.println();
    }

    public static void printIntegerArray(Integer[] a) {
        for(int c:a) out.print(c+" ");
        out.println();
    }

    public static void printIntMatrix(int[][] a) {
        for(int[] i:a) {
            for(int j:i) out.print(j+" ");
            out.println();
        }
    }

    public static void printIntegerMatrix(Integer[][] a) {
        for(Integer[] i:a) {
            for(Integer j:i) out.print(j+" ");
            out.println();
        }
    }

    public static void help(int t,int n) { out.println("Test Case: "+(t+1)+" | Variable Output: "+n); }
    public static void help(int t,String n) { out.println("Test Case: "+(t+1)+" | Variable Output: "+n); }
    public static void help(int t,char[] n) { out.print("Test Case: "+(t+1)+" | Variable Output: "); for(char c:n) out.print(c+" "); out.println(); }
}