#include <iostream.h>

int main ()
{
    long n,i,k,j,l;
    long s,c;
    long double p[200];
    long double x[200];
    long double y[200][200];
    cin>>n;
    for (i=0;i<n;i++)
    {
	cin>>s>>c;
	for (j=0;j<s;j++)
	    cin>>p[j];
	for (j=0;j<s;j++)
	{
	    x[j] = 1;
	    for (k=0;k<s;k++)
		if (j!=k) x[j] *= (double) j-k;
	}
	for (j=0;j<c;j++)
	 for (l=0; l<s; l++)
	{
	    y[j][l] = 1;
	    for (k=0;k<s;k++)
		if (l!=k) y[j][l] *= (double) j+s-k;
	}
	for (j=0;j<c;j++)
	{
	    p[j+s] = 0;
	    for (k=0;k<s;k++)
		p[j+s] += p[k]*y[j][k]/x[k];	
	}
	for (j=0;j<c;j++) 
	    cout<<p[j+s]<<" ";
	cout<<endl;
    }
    return 0;
}