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 CPP):

Solution:
/*                             हरे कृष्ण हरे कृष्ण कृष्ण कृष्ण हरे हरे
                                  हरे राम हरे राम राम राम हरे हरे                                     */
#include<bits/stdc++.h>
using namespace std;
#define pb emplace_back
#define pob pop_back
typedef long long int lli;
#define test lli t; cin>>t; while(t--)
#define ff first
#define ss second
#define F(n) for(lli i=0;i<n;i++)
#define pf pop_front
#define lb lower_bound
#define ub upper_bound
#define setbits(x)  __builtin_popcountll(x)
#define zerobits(x)  __builtin_ctzll(x)
#define bs binary_search
#define all(x) x.begin(),x.end()
#define nl "\n"
#define loop(i,s,n) for(lli i=s;i<n;i++)
#define pp(a)  for(auto x : a)  cout<<x<<" ";  cout<<nl;
#define mem(arr,x) memset(arr,x,sizeof(arr))
#define mod 1000000007
#define inf 1e18
#define tt(n) cin>>n; lli a[n]; loop(i,0,n) cin>>a[i];
#define fast ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);
#define ps(x,y) fixed<<setprecision(y)<<x

int main()
{
    fast;
    #ifndef ONLINE_JUDGE
    freopen("input.txt", "r", stdin);
    freopen("output.txt", "w", stdout);
    #endif
     lli n,i,x;
    test
    {
        cin>>n>>x;
        lli a[n],sum=0;
        loop(i,0,n){ cin>>a[i];sum+=a[i];}
        sort(a,a+n);
        if((n==1 && a[n-1]==x) || (sum==x) ) cout<<"NO";
        else
        {
            cout<<"YES\n";
            if(a[n-1]==x)
            {
                vector<lli> v;
                v.pb(a[n-2]);
                v.pb(a[n-1]);
                loop(i,0,n-2) v.pb(a[i]);
                loop(i,0,n) cout<<v[i]<<" ";
            }
            else
            {
                lli s=0;
                for(i=n-1;i>=0;i--) 
                {
                    s+=a[i];
                    if(s!=x)
                        cout<<a[i]<<" ";
                    else
                    {
                        cout<<a[i-1]<<" "<<a[i]<<" ";
                        i--;
                    } 
                }
            }
        }
        cout<<nl;
    }   
return 0;
}