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.io.*;
import java.math.BigInteger;
import java.text.DecimalFormat;
import java.util.*;





//import jdk.javadoc.internal.doclets.toolkit.NestedClassWriter;
 
 
 
 
public class Codeforces {
	static String ab,b;
	static class Node
	{
		int val;
		Node left;
		Node right;
		public Node(int x) {
			// TODO Auto-generated constructor stub
			this.val=x;
			this.left=null;
			this.right=null;
			}
	}
	static class FastReader 
    { 
        BufferedReader br; 
        StringTokenizer st; 
  
        public FastReader() 
        { 
            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; 
        }
        int[] nextArray(int n)
        {
        	int arr[]=new int[n];
        	for(int i=0;i<n;i++)
        		arr[i]=nextInt();
        	return arr;
        }
    } 
	static String string;
	static int gcd(int a, int b)
    {
        // Everything divides 0 
        if (a == 0)
          return b;
        if (b == 0)
          return a;
      
        // base case
        if (a == b)
            return a;
      
        // a is greater
        if (a > b)
            return gcd(a-b, b);
        return gcd(a, b-a);
    }
	static long gcd(long a, long b)
    {
        // Everything divides 0 
   
        for(long i=2;i<=b;i++)
        {
        	if(a%i==0&&b%i==0)
        		return i;
        }
        return 1;
    }
	static int fac(int n)
	{
		int c=1;
		for(int i=2;i<n;i++)
		if(n%i==0)
			c=i;
		return c;
	}
	static boolean ab(int i,HashSet<Integer> hs,int n,int prev)
	{
		if(i==n)
			return true;
		int cur=2;
		while(i<4*n)
		{
			if(prev==-1)
			{
				hs.add(cur);
				if(ab(i+1, hs, n, cur))
				{
					
					string=cur+" "+string;
					return true;
				}
				else
					hs.remove(hs.size()-1);
			}
			else {
				if(!hs.contains(cur)&&gcd(cur, prev)>1)
				{
					hs.add(cur);
					Iterator<Integer> iterator=hs.iterator();
					int flag=0;
					while(iterator.hasNext())
					{
						int x=iterator.next();
						if(x%cur==0||cur%x==0)
						{
							flag=1;
							break;
						}
					}
						
					if(flag==0&&ab(i+1, hs, n, cur))
					{
					string=cur+" "+string;
					return true;
					}
					hs.remove(hs.size()-1);
				}
					
			}
			cur+=2;
		}
		return false;
	}
	static boolean check(String all,String ch,int i,int k,boolean flag)
	{
		//System.out.println(i+","+k);
		if(i==all.length()||ch.length()==k)
		{
			if(ch.length()==k&&flag)
				return true;
			return false;
		}
		
		for(int j=i;j<all.length();j++)
		{
			if(i>0&&j!=i&&ch.charAt(k)==all.charAt(j)&&check(all, ch, j+1,k+1, true))
				return true;
			else if(ch.charAt(k)==all.charAt(j)&&check(all, ch, j+1,k+1, flag))
				return true;
				
		}
		return false;
	}
	static int lcm(int a,int b)
	{
		for(int i=Math.min(a, b);i<=a*b;i++)
			if(i%a==0&&i%b==0)
				return i;
		return 0;
	}
	static int maxheight(char[][] ch,int i,int j,String[] arr)
	{
		int h=1;
		if(i==ch.length-1||j==0||j==ch[0].length-1)
			return 1;
		while(i+h<ch.length&&j-h>=0&&j+h<ch[0].length&&ch[i+h][j-h]=='*'&&ch[i+h][j+h]=='*')
		{
			String whole=arr[i+h];
			//System.out.println(whole.substring(j-h,j+h+1));
			if(whole.substring(j-h,j+h+1).replace("*","").length()>0)
				return h;
			h++;
		}
			
		return h;
	}
	static boolean all(BigInteger n)
	{
		BigInteger c=n;
		HashSet<Character> hs=new HashSet<>();
		while((c+"").compareTo("0")>0)
		{
			String d=""+c;
			char ch=d.charAt(d.length()-1);
			if(d.length()==1)
			{
				c=new BigInteger("0");
				
			}
			else
			c=new BigInteger(d.substring(0,d.length()-1));
			if(hs.contains(ch))
				continue;
			if(d.charAt(d.length()-1)=='0')
				continue;
			if(!(n.mod(new BigInteger(""+ch)).equals(new BigInteger("0"))))
				return false;
				hs.add(ch);
		}
		return  true;
	}
	
	static int cal(long n,long k)
	{
		System.out.println(n+","+k);
		if(n==k)
			return 2;
		if(n<k)
			return 1;
		if(k==1)
			return 1+cal(n, k+1);
		if(k>=32)
			return 1+cal(n/k, k);
		return 1+Math.min(cal(n/k, k),cal(n, k+1));
	}
	static Node buildTree(int i,int j,int[] arr)
	{
		if(i==j)
		{
			
			//System.out.print(arr[i]);
			return new Node(arr[i]);
		}
		int max=i;
		for(int k=i+1;k<=j;k++)
		{
			if(arr[max]<arr[k])
				max=k;
		}
		Node root=new Node(arr[max]);
		//System.out.print(arr[max]);
		if(max>i)
			root.left=buildTree(i, max-1, arr);
		else {
			root.left=null;
		}
		if(max<j)
			root.right=buildTree(max+1, j, arr);
		else {
			root.right=null;
		}
		return root;
	}
	static int height(Node root,int val)
	{
		if(root==null)
			return Integer.MAX_VALUE-32;
		if(root.val==val)
			return 0;
		if((root.left==null&&root.right==null))
			return Integer.MAX_VALUE-32;
		return Math.min(height(root.left, val), height(root.right, val))+1;
	}
	static void shuffle(int a[], int n) 
    { 
        for (int i = 0; i < n; i++) { 
  
            // getting the random index 
            int t = (int)Math.random() * a.length; 
  
            // and swapping values a random index 
            // with the current index 
            int x = a[t]; 
            a[t] = a[i]; 
            a[i] = x; 
        } 
    }
	static void sort(int[] arr )
	{
		shuffle(arr, arr.length);
		Arrays.sort(arr);
	}
	static int helper(int i,boolean flag,int n,int c,int val,int[][][] dp)
	{
		if(i<=0||i>=n+1)
		{
			c++;
			return 1;
		}
		int last=flag?1:0;
		if(dp[i][val][last]!=0)
			return dp[i][val][last];
		int ans=0;
		if(flag)
		{
			ans=helper(i+1, flag, n, c, val,dp);
			if(val>1)
			ans+=helper(i-1, !flag, n, c, val-1,dp);
		}
		else {
			ans=helper(i-1, flag, n, c, val,dp);
			if(val>1)
			ans+=helper(i+1, !flag, n, c, val-1,dp);
		}
		return dp[i][val][last]=ans;	
	}
	static boolean valid(char[] arr,int k)
	{
		int[] count=new int[26];
		for(int i=0;i<arr.length;i++)
			count[(int)arr[i]-'a']++;
		for(int i=0;i<26;i++)
			if(count[i]%k!=0)
				return false;
		return true;
	}
	
	static int compute(int c,int r)
	{
		if(r<c/2)
			r=c-r;
		int ans=1;
		for(int i=c;i>r;i--)
			ans*=i;
		int fac=fac(c-r);
		return ans/fac;
	}
	static boolean arraySortedInc(int arr[], int n)
    {
 
        // Array has one or no element
        if (n == 0 || n == 1)
            return true;
 
        for (int i = 1; i < n; i++)
 
            // Unsorted pair found
            if (arr[i - 1] > arr[i])
                return false;
 
        // No unsorted pair found
        return true;
    }
	static boolean arraySortedDec(int arr[], int n)
    {
 
        // Array has one or no element
        if (n == 0 || n == 1)
            return true;
 
        for (int i = 1; i < n; i++)
 
            // Unsorted pair found
            if (arr[i - 1] > arr[i])
                return false;
 
        // No unsorted pair found
        return true;
    }
	static int largestPower(int n, int p) {
        // Initialize result
        int x = 0;
 
        // Calculate x = n/p + n/(p^2) + n/(p^3) + ....
        while (n > 0) {
            n /= p;
            x += n;
        }
        return x;
    }
 
// Utility function to do modular exponentiation.
// It returns (x^y) % p
    static int power(int x, int y, int p) {
        int res = 1; // Initialize result
        x = x % p; // Update x if it is more than or
        // equal to p
        while (y > 0) {
            // If y is odd, multiply x with result
            if (y % 2 == 1) {
                res = (res * x) % p;
            }
 
            // y must be even now
            y = y >> 1; // y = y/2
            x = (x * x) % p;
        }
        return res;
    }
 
// Returns n! % p
    static int modFact(int n, int p) {
        if (n >= p) {
            return 0;
        }
 
        int res = 1;
 
        // Use Sieve of Eratosthenes to find all primes
        // smaller than n
        boolean isPrime[] = new boolean[n + 1];
        Arrays.fill(isPrime, true);
        for (int i = 2; i * i <= n; i++) {
            if (isPrime[i]) {
                for (int j = 2 * i; j <= n; j += i) {
                    isPrime[j] = false;
                }
            }
        }
 
        // Consider all primes found by Sieve
        for (int i = 2; i <= n; i++) {
            if (isPrime[i]) {
                // Find the largest power of prime 'i' that divides n
                int k = largestPower(n, i);
 
                // Multiply result with (i^k) % p
                res = (res * power(i, k, p)) % p;
            }
        }
        return res;
    }
	static boolean helper(int[][] all,int row,int[] count)
	{
//		System.out.println(new String(arr)+","+i+","+a+","+b);
		if(row==all.length)
			return true;
//		System.out.println(all[row][row]);
//		for(int i=0;i<all.length;i++)
//			System.out.println(Arrays.toString(all[i]));
//		System.out.println();
//		System.out.println();
		if(count[all[row][row]]==all[row][row])
			return helper(all, row+1, count);
		else {
			for(int i=0;i<all.length;i++)
			{
				for(int j=0;j<=i;j++)
				{
					if(all[i][j]==all[row][row])
					{
//						System.out.println(row+","+i+","+j);
						if(j>0&&all[i][j-1]==0)
						{
							all[i][j-1]=all[row][row];
							count[all[row][row]]++;
							if(helper(all, row, count))
								return true;
							else {
								all[i][j-1]=0;
								count[all[row][row]]--;
							}
						}
						if(j<i&&all[i][j+1]==0)
						{
							all[i][j+1]=all[row][row];
							count[all[row][row]]++;
							if(helper(all, row, count))
								return true;
							else {
								all[i][j+1]=0;
								count[all[row][row]]--;
							}
						}
						if(i<all.length-1&&all[i+1][j]==0)
						{
							all[i+1][j]=all[row][row];
							count[all[row][row]]++;
							if(helper(all, row, count))
								return true;
							else {
								all[i+1][j]=0;
								count[all[row][row]]--;
							}
						}
						if(i>0&&j!=i&&all[i-1][j]==0)
						{
							all[i-1][j]=all[row][row];
							count[all[row][row]]++;
							if(helper(all, row, count))
								return true;
							else {
								all[i-1][j]=0;
								count[all[row][row]]--;
							}
						}
						
					}
				}
			}
			return false;
		}
	}
	static boolean helper(int i,int j,int n,int m,int k,HashSet<String> hs)
	{
//		System.out.println(i+","+j+","+k);
		if(k<0)
			return false;
		if(i==n&&j==m)
		{
			if(k==0)
				return true;
			return false;
		}
		String key=i+","+j+","+k;
		if(hs.contains(key))
			return false;
		hs.add(key);
		boolean ans=false;
		if(i<n)
			ans|=helper(i+1, j, n, m, k-j,hs);
		if(ans)
			return true;
		if(j<m)
			ans|=helper(i, j+1, n, m, k-i,hs);
		return ans;
	}
	public static void main(String[] args)throws IOException
	{
		BufferedReader bReader=new BufferedReader(new InputStreamReader(System.in));
		FastReader fs=new FastReader();
		PrintWriter out=new PrintWriter(System.out);
		int T=fs.nextInt();
		StringBuilder sb=new StringBuilder();
		while(T-->0)
		{
			
			string="";
			StringBuilder sb2=new StringBuilder();
			boolean flag=false;
			int n=fs.nextInt(),x=fs.nextInt();
			int[] arr=fs.nextArray(n);
			long sum=0;
			Arrays.sort(arr);
			for(int i=0;i<n;i++)
			{
				sum+=arr[i];
				if(sum==x)
				{
					if(i==n-1)
					{
						flag=true;
						break;
					}
					sb2.append(arr[i+1]).append(" ").append(arr[i]).append(" ");
					sum+=arr[i+1];
					i++;
				}
				else {
					sb2.append(arr[i]).append(" ");
				}
			}
			if(flag)
			{
				sb.append("NO");
			}
			else {
				sb.append("YES\n").append(sb2);
			}
			sb.append("\n");
//			System.out.println(sb);
		}
		System.out.println(sb);
	 }
}