Problem: Polycarp wants to assemble his own keyboard. Layouts with multiple rows are too complicated for him — his keyboard will consist of only one row, where all 26 lowercase Latin letters will be arranged in some order.

Polycarp uses the same password s on all websites where he is registered (it is bad, but he doesn't care). He wants to assemble a keyboard that will allow to type this password very easily. He doesn't like to move his fingers while typing the password, so, for each pair of adjacent characters in s, they should be adjacent on the keyboard. For example, if the password is abacaba, then the layout cabdefghi... is perfect, since characters a and c are adjacent on the keyboard, and a and b are adjacent on the keyboard. It is guaranteed that there are no two adjacent equal characters in s, so, for example, the password cannot be password (two characters s are adjacent).

Can you help Polycarp with choosing the perfect layout of the keyboard, if it is possible?

Input

The first line contains one integer T (1 ≤ T ≤ 1000) — the number of test cases.

Then T lines follow, each containing one string s (1 ≤ |s| ≤ 200) representing the test case. s consists of lowercase Latin letters only. There are no two adjacent equal characters in s.

Output

For each test case, do the following:

  * if it is impossible to assemble a perfect keyboard, print NO (in upper case, it matters in this problem); 
  * otherwise, print YES (in upper case), and then a string consisting of 26 lowercase Latin letters — the perfect layout. Each Latin letter should appear in this string exactly once. If there are multiple answers, print any of them. 

Example

Input


5
ababa
codedoca
abcda
zxzytyz
abcdefghijklmnopqrstuvwxyza


Output


YES
bacdefghijklmnopqrstuvwxyz
YES
edocabfghijklmnpqrstuvwxyz
NO
YES
xzytabcdefghijklmnopqrsuvw
NO

Solution (in JAVA):

Solution:


 //   * * * its fun to do the impossible * * *   //
 import java.io.BufferedReader;
 import java.io.IOException;
 import java.io.InputStreamReader;
 import java.util.*;
 import java.util.Map.Entry;
  
 
 public class PerfectKeyboard {
     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 o){
             return this.a - o.a;
         }
     }
     static StringBuffer dfs(HashMap<Character , HashMap<Character , Integer>> g , boolean vis[] , Character src , StringBuffer temp){
        if(temp.length() == g.size()){
            return temp;
        }
        vis[src] = true;

        for(Entry<Character , Integer> e : g.get(src).entrySet()){
            if(!vis[e.getKey()]){
                temp = dfs(g , vis , e.getKey() , temp.append(e.getKey()));
            }
        }
        return temp;
     }
     public static void main(String[] args) {
        FastScanner sc = new FastScanner();
        int t = sc.nextInt();
        
        while(t-->0){
            String s = sc.nextLine();
            if(s.length() == 1){
                System.out.println("YES");
                StringBuffer res = new StringBuffer("");
                for(int i=97;i<123;i++){
                    res.append((char)i);
                }
                System.out.println(res);
                continue;
            }
            char c[] = s.toCharArray();
            HashMap<Character , HashMap<Character , Integer>> g = new HashMap<>();

            for(int i=0;i<s.length();i++){
                if(i == 0){
                    g.put(c[i] , new HashMap<>());
                    g.get(c[i]).put(c[i+1] , 0);
                }
                else if(i == s.length() - 1){
                    if(!g.containsKey(c[i])){
                        g.put(c[i] , new HashMap<>());
                    }
                    g.get(c[i]).put(c[i-1] , 0);
                }   
                else{
                    if(!g.containsKey(c[i])){
                        g.put(c[i] , new HashMap<>());
                    }
                    g.get(c[i]).put(c[i-1] , 0);
                    g.get(c[i]).put(c[i+1] , 0);
                } 
            }
            boolean pos = false;
            StringBuffer temp = new StringBuffer("");

            for(Entry<Character , HashMap<Character , Integer>> e : g.entrySet()){
                if(e.getValue().size() == 1){
                    pos = true;
                    boolean vis[] = new boolean[256];
                    temp = dfs(g , vis , e.getKey() , temp.append(e.getKey()));
                }
                if(e.getValue().size() > 2){
                    pos = false;
                    break;
                }
            }
            if(!pos){
                System.out.println("NO");
                continue;
            }
            System.out.println("YES");

            HashSet<Character> set = new HashSet<>();
            for(int i=0;i<temp.length();i++){
                set.add(temp.charAt(i));
            }
            StringBuffer res = new StringBuffer("");
            for(int i=0;i<temp.length()/2;i++){
                res.append(temp.charAt(i));
            }
            for(int i=97;i<123;i++){
                if(!set.contains((char)i)){
                    res.append((char)i);
                }
            }

            System.out.println(res);
        }
        
  
     }
 
 
 
 
 
 
  
     // Use this instead of Arrays.sort() on an array of ints. Arrays.sort() is n^2
     // worst case since it uses a version of quicksort. Although this would never
     // actually show up in the real world, in codeforces, people can hack, so
     // this is needed.
     static void ruffleSort(int[] a) {
         //ruffle
         int n=a.length;
         Random r=new Random();
         for (int i=0; i<a.length; i++) {
             int oi=r.nextInt(n), temp=a[i];
             a[i]=a[oi];
             a[oi]=temp;
         }
         
         //then sort
         Arrays.sort(a);
     }
     
     // Use this to input code since it is faster than a Scanner
     static class FastScanner {
         BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
         StringTokenizer st=new StringTokenizer("");
         String next() {
             while (!st.hasMoreTokens())
                 try {
                     st=new StringTokenizer(br.readLine());
                 } catch (IOException e) {
                     e.printStackTrace();
                 }
             return st.nextToken();
         }
         
         int nextInt() {
             return Integer.parseInt(next());
         }
 
         double nextDouble() {
             return Double.parseDouble(next());
         }
  
         String str = "";
  
         String nextLine() {
             try {
                 str = br.readLine();
             } catch (IOException e) {
                 e.printStackTrace();
             }
             return str;
         }
  
         int[] readArray(int n) {
             int[] a = new int[n];
             for (int i = 0; i < n; i++)
                 a[i] = nextInt();
             return a;
         }
  
         long[] readLongArray(int n) {
             long[] a = new long[n];
             for (int i = 0; i < n; i++)
                 a[i] = nextLong();
             return a;
         }
         long nextLong() {
             return Long.parseLong(next());
         }
     }
     // use this to find the index of any element in the array +1 /// 
     // returns an array that corresponds to the index of the i+1th in the array a[]
     // runs only for array containing different values enclosed btw 0 to n-1
     static int[] indexOf(int[] a) {
         int[] toRet=new int[a.length];
         for (int i=0; i<a.length; i++) {
             toRet[a[i]]=i+1;
         }
         return toRet;
     }
 
     static int gcd(int a, int b) {
         if (b==0) return a;
         return gcd(b, a%b);
     }
 
     //generates all the prime numbers upto n
     static void sieveOfEratosthenes(int n , ArrayList<Integer> al)
     {
         boolean prime[] = new boolean[n + 1];
         for (int i = 0; i <= n; i++)
             prime[i] = true;
  
         for (int p = 2; p * p <= n; p++) 
         {
             if (prime[p] == true) 
             {
                 for (int i = p * p; i <= n; i += p)
                     prime[i] = false;
             }
         }
         for (int i = 2; i <= n; i++)
         {
             if (prime[i] == true)
                 al.get(i);
         }
     }
     static final int mod=100000000 + 7;
     static final int max_val = 2147483647;
     static final int min_val = max_val + 1;
     
     //fastPow
     static long fastPow(long base, long exp) {
         if (exp==0) return 1;
         long half=fastPow(base, exp/2);
         if (exp%2==0) return mul(half, half);
         return mul(half, mul(half, base));
     }
 
     //multiply two long numbers
     static long mul(long a, long b) {
         return a*b%mod;
     }
 
     static int nCr(int n, int r)
     {
            return fact(n) / (fact(r) *
                 fact(n - r));
     }
     
     // Returns factorial of n
     static int fact(int n)
     {
         int res = 1;
         for (int i = 2; i <= n; i++)
             res = res * i;
         return res;
     }
      
     // to generate the lps array
     // lps means longest preffix that is also a suffix
     static void generateLPS(int lps[] , String p){
         int l = 0;
         int r = 1;
    
         while(l < p.length() && l < r && r < p.length()){
             if(p.charAt(l) == p.charAt(r)){
                 lps[r] = l + 1;
                 l++;
                 r++;
             }
             else{
                 if(l > 0)
                     l = lps[l - 1];
                 else
                     r++;    
             }
         }
     }
      
 
     //count sort --> it runs in O(n) time but compromises in space
     static ArrayList<Integer> countSort(int a[]){
         int max = Integer.MIN_VALUE;
         for(int i=0;i<a.length;i++){
             max = Math.max(max , a[i]);
         }
 
         int posfre[] = new int[max+1];
         boolean negPres = false;
         for(int i=0;i<a.length;i++){
             if(a[i]>=0){
                 posfre[a[i]]++;
             }
             else{
                 negPres = true;
             }
         }
         ArrayList<Integer> res = new ArrayList<>();
         if(negPres){
             int min = Integer.MAX_VALUE;
             for(int i=0;i<a.length;i++){
                 min = Math.min(min , a[i]);
             }
 
             int negfre[] = new int[-1*min+1];
             for(int i=0;i<a.length;i++){
                 if(a[i]<0){
                     negfre[-1*a[i]]++;
                 }
             }
 
             for(int i=min;i<0;i++){
                 for(int j=0;j<negfre[-1*i];j++){
                     res.add(i);
                 }
             }
             for(int i=0;i<=max;i++){
                 for(int j=0;j<posfre[i];j++){
                     res.add(i);
                 }
             }
             return res;
         }
         for(int i=0;i<=max;i++){
             for(int j=0;j<posfre[i];j++){
                 res.add(i);
             }
         }
         return res;
     }
 
     // returns the index of the element which is just smaller than or
     // equal to the tar in the given arraylist 
     static int lowBound(ArrayList<Integer> ll , long tar , int l , int r){
         if(l > r) return l;
 
         int mid = l + (r - l) / 2;
 
         if(ll.get(mid) >= tar){
             return lowBound(ll , tar , l , mid - 1);
         }
 
         return lowBound(ll , tar , mid + 1 , r);
     }
 
     // returns the index of the element which is just greater than or
     // equal to the tar in the given arraylist 
     static int upBound(ArrayList<Integer> ll , long tar , int l , int r){
         if(l > r) return l;
 
         int mid = l + (r - l) / 2;
 
         if(ll.get(mid) <= tar){
             return upBound(ll , tar , l , mid - 1);
         }
 
         return upBound(ll , tar , mid + 1 , r);
     }
 
     // a -> z == 97 -> 122
 
     // String.format("%.9f", ans) ,--> to get upto 9 decimal places , (ans is double)
     
     // write 
 }