Problem: A palindrome is a string that reads the same backward as forward. For example, the strings "z", "aaa", "aba", and "abccba" are palindromes, but "codeforces" and "ab" are not. You hate palindromes because they give you déjà vu.

There is a string s. You must insert exactly one character 'a' somewhere in s. If it is possible to create a string that is not a palindrome, you should find one example. Otherwise, you should report that it is impossible.

For example, suppose s= "cbabc". By inserting an 'a', you can create "acbabc", "cababc", "cbaabc", "cbabac", or "cbabca". However "cbaabc" is a palindrome, so you must output one of the other options.

Input

The first line contains a single integer t (1≤ t≤ 10^4) — the number of test cases.

The only line of each test case contains a string s consisting of lowercase English letters.

The total length of all strings does not exceed 3⋅ 10^5.

Output

For each test case, if there is no solution, output "NO".

Otherwise, output "YES" followed by your constructed string of length |s|+1 on the next line. If there are multiple solutions, you may print any.

You can print each letter of "YES" and "NO" in any case (upper or lower).

Example

Input


6
cbabc
ab
zza
ba
a
nutforajaroftuna


Output


YES
cbabac
YES
aab
YES
zaza
YES
baa
NO
YES
nutforajarofatuna

Note

The first test case is described in the statement.

In the second test case, we can make either "aab" or "aba". But "aba" is a palindrome, so "aab" is the only correct answer.

In the third test case, "zaza" and "zzaa" are correct answers, but not "azza".

In the fourth test case, "baa" is the only correct answer.

In the fifth test case, we can only make "aa", which is a palindrome. So the answer is "NO".

In the sixth test case, "anutforajaroftuna" is a palindrome, but inserting 'a' elsewhere is valid.

Solution (in JAVA):

Solution:
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.util.ArrayDeque;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collections;
import java.util.Deque;
import java.util.HashMap;
import java.util.List;
import java.util.Map;
import java.util.StringTokenizer;



public class Main {
	 
    public static void main(String[] args) {
    	
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        InputReader in = new InputReader(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        solve(in, out);
        out.close();
    }
 
    static String reverse(String s) {
        return (new StringBuilder(s)).reverse().toString();
    }

    static void sieveOfEratosthenes(int n, int factors[]) 
    { 
       n=1000000001;
    	factors[1]=1;
        for(int p = 2; p*p <=n; p++) 
        { 
            if(factors[p] == 0) 
            { 
                factors[p]=p;
                for(int i = p*p; i <= n; i += p) 
                    factors[i] = p; 
            } 
        } 
    }

    static void sort(int ar[]) {
        int n = ar.length;
        ArrayList<Integer> a = new ArrayList<>();
        for (int i = 0; i < n; i++)
            a.add(ar[i]);
        Collections.sort(a);
        for (int i = 0; i < n; i++)
            ar[i] = a.get(i);
    }

    static void sort1(long ar[]) {
        int n = ar.length;
        ArrayList<Long> a = new ArrayList<>();
        for (int i = 0; i < n; i++)
            a.add(ar[i]);
        Collections.sort(a);
        for (int i = 0; i < n; i++)
            ar[i] = a.get(i);
    }

    static long ncr(long n, long r, long mod) {
        if (r == 0)
            return 1;
        long val = ncr(n - 1, r - 1, mod);
        val = (n * val) % mod;
        val = (val * modInverse(r, mod)) % mod;
        return val;
    }
    public static int convert(String a, String b)
    {
    	int T=0;
    	if(b.charAt(0)=='P')
    	{
    		if(a.charAt(0)=='1'&&a.charAt(1)=='2') T=12;
    		else
    			T=(a.charAt(0)-'0')*10+(a.charAt(1)-'0')+12;
    	}
    	else if(b.charAt(0)=='A')
    	{
    		if(a.charAt(0)=='1'&&a.charAt(1)=='2') T=0;
    		else
    			T=(a.charAt(0)-'0')*10+(a.charAt(1)-'0');
    	}
    		
    	T=T*100+(a.charAt(3)-'0')*10+(a.charAt(4)-'0');
    	return T;
    	
    }
    static boolean areBracketsBalanced(String expr) 
    { 
        // Using ArrayDeque is faster than using Stack class 
        Deque<Character> stack 
            = new ArrayDeque<Character>(); 
  
        // Traversing the Expression 
        for (int i = 0; i < expr.length(); i++)  
        { 
            char x = expr.charAt(i); 
  
            if (x == '(' || x == '[' || x == '{')  
            { 
                // Push the element in the stack 
                stack.push(x); 
                continue; 
            } 
  
            // IF current current character is not opening 
            // bracket, then it must be closing. So stack 
            // cannot be empty at this point. 
            if (stack.isEmpty()) 
                return false; 
            char check; 
            switch (x) { 
            case ')': 
                check = stack.pop(); 
                if (check == '{' || check == '[') 
                    return false; 
                break; 
  
            case '}': 
                check = stack.pop(); 
                if (check == '(' || check == '[') 
                    return false; 
                break; 
  
            case ']': 
                check = stack.pop(); 
                if (check == '(' || check == '{') 
                    return false; 
                break; 
            } 
        } 
  
        // Check Empty Stack 
        return (stack.isEmpty()); 
    } 
    public static int hr(String s)
    {
    	int hh=0;
    	hh=(s.charAt(0)-'0')*10+(s.charAt(1)-'0');
    	return hh;
    }
    public static int mn(String s)
    {
    	int mm=0;
    	mm=(s.charAt(3)-'0')*10+(s.charAt(4)-'0');
    	return mm;
    }
	
	/*
	 * public static void countNumberOfPrimeFactors(){ boolean flag[]=new
	 * boolean[N]; Arrays.fill(flag,true); for(int i=2;i<N;i++){ if(flag[i]){
	 * for(int j=i;j<N;j+=i) { prime[j]++; flag[j]=false; } } } // prime[1]=1; }
	 */	 

   
	public static long fun(long n)
	{
		long s=0;
		while(n!=0)
		{
			s+=n%10;
			n/=10;
		}
		return s;
	}
	public static int fun(String s, String t)
	{
		int ans=0;
		
		 return ans;
		
	}
	public static String rev(String s)
	{
		char[] temp=s.toCharArray();
		for(int i=0;i<s.length()/2;i++)
		{
			char tmp=temp[i];
			temp[i]=temp[s.length()-1-i];
			temp[s.length()-1-i]=tmp;
			
		}
		String str="";
		for(char ch: temp)
		{
			str+=ch;
		}
		return str;
	}
	static boolean isP(String str)
    {
 
        // Pointers pointing to the beginning
        // and the end of the string
        int i = 0, j = str.length() - 1;
 
        // While there are characters to compare
        while (i < j) {
 
            // If there is a mismatch
            if (str.charAt(i) != str.charAt(j))
                return false;
 
            // Increment first pointer and
            // decrement the other
            i++;
            j--;
        }
 
        // Given string is a palindrome
        return true;
    }
  
    public static void solve(InputReader sc, PrintWriter pw) {
  
    int t=sc.nextInt();
     
  	
  	     
		
		 for(int k=1;k<=t;k++) 
	  {
    	 String s=sc.next();
    	
    	
    	int a=0,i=0;
    	for(i=0;i<s.length();i++) {
    		if(s.charAt(i)!='a') {
    			break;
    		}
    	}
    	if(i==s.length()) {
    		pw.print("no"+"\n");
    		continue;
    	}
        s=s.substring(0, s.length()-i)+'a'+s.substring(s.length()-i);
    	pw.print("yes"+"\n"+s+"\n");	 
  		  
		}   
  		    
  		      
  		     
				
  			  
    }
    static class Pair1 {
        long a;
        long b;
        
        Pair1(long a, long b) {
            this.a = a;
            this.b = b;
        }
    }

    static class Pair implements Comparable<Pair> {
        int a;
        int b;
        
        Pair(int a, int b) {
            this.a = a;
            this.b = b;
        }
 
        public int compareTo(Pair p) {
            if(a!=p.a)
                return p.a-a;
            return b-p.b;
        }
    }

    static boolean isPrime(long n) {
        if (n <= 1)
            return false;
        if (n <= 3)
            return true;
        if (n % 2 == 0 || n % 3 == 0)
            return false;
        for (int i = 5; i * i <= n; i = i + 6)
            if (n % i == 0 || n % (i + 2) == 0)
                return false;
        return true;
    }

    static long gcd(long a, long b) {
        if (b == 0)
            return a;
        return gcd(b, a % b);
    }

    static long fast_pow(long base, long n, long M) {
        if (n == 0)
            return 1;
        if (n == 1)
            return base % M;
        long halfn = fast_pow(base, n / 2, M);
        if (n % 2 == 0)
            return (halfn * halfn) % M;
        else
            return (((halfn * halfn) % M) * base) % M;
    }

    static long modInverse(long n, long M) {
        return fast_pow(n, M - 2, M);
    }
    public static int LowerBound(int a[], int x) 
	   {
			  int l=-1,r=a.length;
			  while(l+1<r) {
			    int m=(l+r)>>>1;
			    if(a[m]>=x) r=m;
			    else l=m;
			  }
			  return r;
		}
	
	   
	public static int UpperBound(int a[], int x) 
		{
		    int l=-1, r=a.length;
		    while(l+1<r) {
		       int m=(l+r)>>>1;
		       if(a[m]<=x) l=m;
		       else r=m;
		    }
		    return l+1;
		}

    static class InputReader {
        public BufferedReader reader;
        public StringTokenizer tokenizer;

        public InputReader(InputStream stream) {
            reader = new BufferedReader(new InputStreamReader(stream), 32768);
            tokenizer = null;
        }

        public String next() {
            while (tokenizer == null || !tokenizer.hasMoreTokens()) {
                try {
                    tokenizer = new StringTokenizer(reader.readLine());
                } catch (IOException e) {
                    throw new RuntimeException(e);
                }
            }
            return tokenizer.nextToken();
        }

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

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