Problem: Phoenix has collected n pieces of gold, and he wants to weigh them together so he can feel rich. The i-th piece of gold has weight w_i. All weights are distinct. He will put his n pieces of gold on a weight scale, one piece at a time. 

The scale has an unusual defect: if the total weight on it is exactly x, it will explode. Can he put all n gold pieces onto the scale in some order, without the scale exploding during the process? If so, help him find some possible order. 

Formally, rearrange the array w so that for each i (1 ≤ i ≤ n), ∑_{j = 1}^{i}w_j ≠ x.

Input

The input consists of multiple test cases. The first line contains an integer t (1 ≤ t ≤ 1000) — the number of test cases.

The first line of each test case contains two integers n and x (1 ≤ n ≤ 100; 1 ≤ x ≤ 10^4) — the number of gold pieces that Phoenix has and the weight to avoid, respectively. 

The second line of each test case contains n space-separated integers (1 ≤ w_i ≤ 100) — the weights of the gold pieces. It is guaranteed that the weights are pairwise distinct.

Output

For each test case, if Phoenix cannot place all n pieces without the scale exploding, print NO. Otherwise, print YES followed by the rearranged array w. If there are multiple solutions, print any.

Example

Input


3
3 2
3 2 1
5 3
1 2 3 4 8
1 5
5


Output


YES
3 2 1
YES
8 1 2 3 4
NO

Note

In the first test case, Phoenix puts the gold piece with weight 3 on the scale first, then the piece with weight 2, and finally the piece with weight 1. The total weight on the scale is 3, then 5, then 6. The scale does not explode because the total weight on the scale is never 2.

In the second test case, the total weight on the scale is 8, 9, 11, 14, then 18. It is never 3.

In the third test case, Phoenix must put the gold piece with weight 5 on the scale, and the scale will always explode.

Solution (in JAVA):

Solution:
import java.util.*;
import java.io.*;
import java.math.*;
public class Solution{
static FastScanner sc;
static PrintWriter pw;
static void pn(Object o){pw.println(o);}
static void p(Object o){pw.print(o);}
// static boolean arr[] = sieve(100001);
static int mod = (int) (1e9+7);
// static ArrayList<Long> primes = new ArrayList<>();
static ArrayList<Integer> divisors = new ArrayList<>();
static ArrayList<Integer> perfectSquares = new ArrayList<>();

// double a = 0.9;
// Setting the precision to 20 places
//     System.out.println(String.format("%.20f", a)); -> 0.99999999999999990000
//     double b = 1;
//     System.out.println(String.format("%.5f", b))  OR pn("%.5f",b); -> 1.00000

// **********************Code Begins From Here*********************

        public static void solve()
        {
            // ArrayList<Integer> al = new ArrayList<>();
            // Map<Integer,Integer> map = new HashMap<>();
            // Set<Integer> set = new TreeSet<>();
            // for(Map.Entry<Integer,Integer> e:map.entrySet())pn(e.getKey()+" "+e.getValue());
            // LinkedList<Integer> ll = new LinkedList<>();
            // Stack<Integer>st = new Stack<>();
            
            int n=sc.i(),x=sc.i(),a[] = sc.intArray(n);
            long sum=0,fg=0;
            ArrayList<Integer> al = new ArrayList<>();
            ArrayList<Integer> ans = new ArrayList<>();
            if(n==1&&a[0]==x){pn("NO");return;}else if(n==1&&a[0]!=x) {pn("YES\n"+a[0]);return;}
            for(int i=1;i<n;i++){if(a[i-1]!=a[i])fg=1;}
            if(fg==0){pn("NO");return;}
            Arrays.parallelSort(a);
            for(int i=0;i<n;i++)
            {
                sum+=a[i];
                // temp+=a[i];
                if(sum==x)
                {
                    if(i!=n-1)
                    {
                        sum-=a[i];
                        al.add(a[i]);
                        continue;
                    }
                    else
                    {
                        {pn("NO");return;}
                    }
                }
                ans.add(a[i]);
            }
            pn("YES");
            for(int e:ans)p(e+" ");
            if(al.size()==0)pn("");
            else
            {
                for(int i=0;i<al.size();i++)if(i==al.size()-1)pn(al.get(i));else p(al.get(i)+" ");
            }
        }
            public static void main(String[] args) throws FileNotFoundException {
//	        Scanner sc = new Scanner(System.i)n);
            sc = new FastScanner();
            pw = new PrintWriter(System.out);
            // for(long i=0;i<arr.length;i++)a1=sc.i();
            // {
            //     if(arr[(int)i])
            //     {
            //         primes.add(i);
            //     }
            // }
            int tc = sc.i(); 
            for(int t=0;t<tc;t++)
            {
                // p("Case #"+(t+1)+": ");
                solve();
            }
            pw.close();
        }
        // public static int solve(int a[],int l , int r) {
		
        //     for(int i=l+1;i<r;i++) {
        //         if(a[i]<a[i-1]) {
        //             int mid = (l+r)/2;
        //             return Math.max(solve(a,l,mid),solve(a,mid,r));
        //         }
        //     }
        //     return r-l;
        // }
          static int LCSubStr(char X[], char Y[],int m, int n)
          {
                // Create a table to store
                // lengths of longest common
                // suffixes of substrings.
                // Note that LCSuff[i][j]
                // contains length of longest
                // common suffix of
                // X[0..i-1] and Y[0..j-1].
                // The first row and first
                // column entries have no
                // logical meaning, they are
                // used only for simplicity of program
                int LCStuff[][] = new int[m + 1][n + 1];
        
                // To store length of the longest
                // common substring
                int result = 0;
        
                // Following steps build
                // LCSuff[m+1][n+1] in bottom up fashion
                for (int i = 0; i <= m; i++)
                {
                    for (int j = 0; j <= n; j++)
                    {
                        if (i == 0 || j == 0)
                            LCStuff[i][j] = 0;
                        else if (X[i - 1] == Y[j - 1])
                        {
                            LCStuff[i][j]
                                = LCStuff[i - 1][j - 1] + 1;
                            result = Integer.max(result,
                                                LCStuff[i][j]);
                        }
                        else
                            LCStuff[i][j] = 0;
                    }
                }
                return result;
            }

        static boolean number_Is_Divisible_By_Its_Digits(long n)
        {
            long temp=n;
            while(temp>0)
            {
                long digit = temp%10;
                temp/=10;
                if(digit!=0&&n%digit!=0)return false;
            }
            return true;
        }
        static int countDivisors(int n)
        {
            int cnt = 0;
            for(int i=1;i*i<=n;i++)
            {
                if(n%i==0)cnt++;
                divisors.add(i);
            }
            return cnt;
        }

        static ArrayList<Integer> countDivisorsList(int n)
        {
            for(int i=1;i*i<=n;i++)
            {
                if(n%i==0)
                divisors.add(i);
            }
            return divisors;
        }

        static boolean isStringSorted(String s)
        {
            for(int i=0;i<s.length()-1;i++)
            {
                if(s.charAt(i)>s.charAt(i+1))return false;
            }
            return true;
        }

        static boolean isPalindromeString(String s)
        {
            String temp = "";
            for(int i=s.length()-1;i>=0;i--)
            {
                temp+=s.charAt(i)+"";
            }
            return ((s.equals(temp))?true:false);
        }
        static boolean isSorted(int[] a)
        {
            int n = a.length;
            for(int i=1;i<n;i++)
            {
                if(a[i-1]>=a[i])return false;
            }
            return true;
        }
        static boolean solution(int n,int x)
        {
            int sum=0;
            while(n>0)
            {
                int digit=n%10;
                n/=10;
                sum+=digit;
            }
            return (sum==x)?true:false;
        }
        static ArrayList<Integer> perfectSquares(int n) 
        { 
            ArrayList<Integer> al = new  ArrayList<Integer>();
            for(int i=1;i<=n;i++)
            {
                al.add(i*i);
            }
            return al; 
        } 
    static boolean checkDuplicateAll(String s)
    {
        for(int i=1;i<s.length();i++)
        {
            if(s.charAt(i)!=s.charAt(i-1))return false;
        }
        return true;
    }
    static String reverseString(String s,int x)
    {
        String ans="",temp = s.substring(0,x);
        for(int i=x;i<s.length();i++)
        {
            ans = s.charAt(i)+ans;
        }
        return temp+ans;
    }
    static boolean checker(int num)
    {
        String s = num+"";
        if(s.contains("0"))return false;
        int temp = num;
        while(num>0)
        {
            int digit = num%10;
            num/=10;
            if(temp%digit==0)return false;
        }
        return true;
    }
    static boolean palindrome(int n)
    {
        int temp=n,rev=0;
        while(n>0)
        {
            int digit=n%10;
            n/=10;
            rev = rev*10+digit;
        }
        return (temp==rev)?true:false;
    }
    
    static boolean checkparanthesis(String s)
    {
        Stack<Character>st = new Stack<>();
        int n = s.length();
        for(int i=0;i<n;i++)
        {
            if(s.charAt(i)=='(')st.push('(');
            else
            {
                if(st.size()==0)return false;
                else st.pop();
            }
        }
        return (st.size()==0)?true:false;
    }
    static int[] reverse(int a[]){

        for(int i=0;i<a.length/2;i++)
        {
           int temp = a[i];
           a[i] = a[a.length-i-1];
           a[a.length-i-1] = temp;
        }
        return a;
        }
   static boolean[] sieve(int n)
   {
   	boolean[] isPrime = new boolean[n+1];
   	Arrays.fill(isPrime,true);
   	isPrime[0]=false;
   	isPrime[1]=false;
   	for(int i=2;i*i<=n;i++)
   	{
   		for(int j=i*i;j<=n;j+=i)
   		{
   			isPrime[j]=false;
   		}
   	}
   	return isPrime;
   }
   static int[][] graph(int from[], int to[], int n)
   {
       int g[][] = new int[n][];
       int cnt[] = new int[n];
       for (int i = 0; i < from.length; i++) {
           cnt[from[i]]++;
           cnt[to[i]]++;
       }
       for (int i = 0; i < n; i++) {
           g[i] = new int[cnt[i]];
       }
       Arrays.fill(cnt, 0);
       for (int i = 0; i < from.length; i++) {
           g[from[i]][cnt[from[i]]++] = to[i];
           g[to[i]][cnt[to[i]]++] = from[i];
       }
       return g;
   }
   
   static class Pair implements Comparable<Pair>{

       int x,y,z;
       
       Pair (int x,int y,int z){
           this.x=x;
           this.y=y;
           this.z=z;
       }
           
       public int compareTo(Pair o) {
           if (this.x == o.x)
               return Integer.compare(this.y,o.y);
           return Integer.compare(this.x,o.x);
           //return 0;
       }

       public boolean equals(Object o) {
           if (o instanceof Pair) {
               Pair p = (Pair)o;
               return p.x == x && p.y == y;
           }
           return false;
       }
       public int hashCode() {
           return new Integer(x).hashCode() * 31 + new Integer(y).hashCode();
       }
       
       @Override
       public String toString() {
           return x + " " + y;
       }
   
   } 
   
   static String rev(String s) {
       StringBuilder sb = new StringBuilder(s);
       sb.reverse();
       return sb.toString();
   }

   static long gcd(long x, long y) {
       if (y == 0) {
           return x;
       } else {
           return gcd(y, x % y);
       }
   }

   static int gcd(int x, int y) {
       if (y == 0) {
           return x;
       } else {
           return gcd(y, x % y);
       }
   }
   
   static int abs(int a, int b) {
       return (int) Math.abs(a - b);
   }

   static long abs(long a, long b) {
       return (long) Math.abs(a - b);
   }
   static void swap(int a,int b)
   {
       int c = b;
       b=a;
       a=c;
   }
   static int max(int a, int b) {
       if (a > b) {
           return a;
       } else {
           return b;
       }
   }

   static int min(int a, int b) {
       if (a > b) {
           return b;
       } else {
           return a;
       }
   }

   static long max(long a, long b) {
       if (a > b) {
           return a;
       } else {
           return b;
       }
   }

   static long min(long a, long b) {
       if (a > b) {
           return b;
       } else {
           return a;
       }
   }

   static long pow(long n, long p, long m) {
       long result = 1;
       if (p == 0) {
           return 1;
       }
       while (p != 0) {
           if (p % 2 == 1) {
               result *= n;
           }
           if (result >= m) {
               result %= m;
           }
           p >>= 1;
           n *= n;
           if (n >= m) {
               n %= m;
           }
       }
       return result;
   }

   static long pow(long n, long p) {
       long result = 1;
       if (p == 0) {
           return 1;
       }
       if (p == 1) {
           return n;
       }
       while (p != 0) {
           if (p % 2 == 1) {
               result *= n;
           }
           p >>= 1;
           n *= n;
       }
       return result;
   }
  
   static void debug(Object... o) {
           System.out.println(Arrays.deepToString(o));
   }

//    
    static class FastScanner {
        BufferedReader br;
        StringTokenizer st;
 
        public FastScanner() throws FileNotFoundException {
            
            if (System.getProperty("ONLINE_JUDGE") == null) {
                // Input is a file
                    br = new BufferedReader(new FileReader("input.txt")); 
    
                    // PrintWriter class prints formatted representations 
                    // of objects to a text-output stream. 
                    PrintStream pw = new PrintStream(new FileOutputStream("output.txt"));
                    System.setOut(pw);
              }
            else
            {
                // Input is System.in
                br = new BufferedReader(new InputStreamReader(System.in), 32768);
                st = null;
            }
            
        }
 
        String next() {
            while (st == null || !st.hasMoreElements()) {
                try {
                    st = new StringTokenizer(br.readLine());
                } catch (IOException e) {
                    e.printStackTrace();
                }
            }
            return st.nextToken();
        }
 
        int i() {
            return Integer.parseInt(next());
        }
 
        int[] intArray(int n) {
            int[] ret = new int[n];
            for (int i = 0; i < n; i++)
                ret[i] = i();
            return ret;
        }
 
        long l() {
            return Long.parseLong(next());
        }
 
        long[] longArray(int N) {
            long[] ret = new long[N];
            for (int i = 0; i < N; i++)
                ret[i] = l();
            return ret;
        }
 
        double d() {
            return Double.parseDouble(next());
        }
 
        String nextLine() {
            String str = "";
            try {
                str = br.readLine();
            } catch (IOException e) {
                e.printStackTrace();
            }
            return str;
        }
    }
    // static class InputReader
//    {

//        private final InputStream stream;
//        private final byte[] buf = new byte[8192];
//        private int curChar, snumChars;
//        private SpaceCharFilter filter;

//        public InputReader(InputStream stream)
//        {
//                this.stream = stream;
//        }

//        public int snext()
//        {
//                if (snumChars == -1)
//                        throw new InputMismatchException();
//                if (curChar >= snumChars)
//                {
//                        curChar = 0;
//                        try
//                        {
//                                snumChars = stream.read(buf);
//                        } catch (IOException e)
//                        {
//                                throw new InputMismatchException();
//                        }
//                        if (snumChars <= 0)
//                                return -1;
//                }
//                return buf[curChar++];
//        }

//        public int nextInt()
//        {
//                int c = snext();
//                while (isSpaceChar(c))
//                {
//                        c = snext();
//                }
//                int sgn = 1;
//                if (c == '-')
//                {
//                        sgn = -1;
//                        c = snext();
//                }
//                int res = 0;
//                do
//                {
//                        if (c < '0' || c > '9')
//                                throw new InputMismatchException();
//                        res *= 10;
//                        res += c - '0';
//                        c = snext();
//                } while (!isSpaceChar(c));
//                return res * sgn;
//        }

//        public long nextLong()
//        {
//                int c = snext();
//                while (isSpaceChar(c))
//                {
//                        c = snext();
//                }
//                int sgn = 1;
//                if (c == '-')
//                {
//                        sgn = -1;
//                        c = snext();
//                }
//                long res = 0;
//                do
//                {
//                        if (c < '0' || c > '9')
//                                throw new InputMismatchException();
//                        res *= 10;
//                        res += c - '0';
//                        c = snext();
//                } while (!isSpaceChar(c));
//                return res * sgn;
//        }

//        public int[] nextIntArray(int n)
//        {
//                int a[] = new int[n];
//                for (int i = 0; i < n; i++)
//                {
//                        a[i] = nextInt();
//                }
//                return a;
//        }

//        public long[] nextLongArray(int n)
//        {
//                long a[] = new long[n];
//                for (int i = 0; i < n; i++)
//                {
//                        a[i] = nextLong();
//                }
//                return a;
//        }

//        public String readString()
//        {
//                int c = snext();
//                while (isSpaceChar(c))
//                {
//                        c = snext();
//                }
//                StringBuilder res = new StringBuilder();
//                do
//                {
//                        res.appendCodePoint(c);
//                        c = snext();
//                } while (!isSpaceChar(c));
//                return res.toString();
//        }

//        public String nextLine()
//        {
//                int c = snext();
//                while (isSpaceChar(c))
//                        c = snext();
//                StringBuilder res = new StringBuilder();
//                do
//                {
//                        res.appendCodePoint(c);
//                        c = snext();
//                } while (!isEndOfLine(c));
//                return res.toString();
//        }

//        public boolean isSpaceChar(int c)
//        {
//                if (filter != null)
//                        return filter.isSpaceChar(c);
//                return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
//        }

//        private boolean isEndOfLine(int c)
//        {
//                return c == '\n' || c == '\r' || c == -1;
//        }

//        public interface SpaceCharFilter
//        {
//                public boolean isSpaceChar(int ch);
//        }
}