#include <iostream>
#include <math.h>

double matrix[105][105];

double calc(int deg, double x)
{
     double res = 0.0;
     double xek = 1.0;
     for (int i=0; i<deg; i++) {
	  res += matrix[i][0] * xek;
	  xek *= (x-i);
     }

     return res;
}

bool deq(double d1, double d2)
{
     return (fabs(d1-d2) < 0.0000000001);
}

int main()
{
     int n;
     cin >> n;
     for (int ca=1; ca<=n; ca++) {
	  int len, comp;
	  cin >> len >> comp;
	  int seq[len];

	  for (int i=0; i<len; i++)
	       cin >> seq[i];

	  for (int deg=0; deg<=len; deg++) {
//	       double matrix[deg][deg];

	       for (int i=0; i<deg; i++)
		    matrix[0][i] = seq[i];

	       // i oszlop
	       // j sor
	       for (int i=1; i<deg; i++)
		    for (int j=0; j<deg-i; j++)
			 matrix[i][j] =
			      (matrix[i-1][j+1] - matrix[i-1][j]) / i;

	       bool ok = true;
	       for (int i=deg; i<len; i++)
		    if (!deq(calc(deg, i), seq[i])) {
			 ok = false;
			 break;
		    }

	       if (ok) {
		    for (int i=len; i<len+comp; i++)
			 cout << (int)(calc(deg, i)+0.5) << " ";

		    cout << endl;
		    break;
	       }
	  }
	  
     }
     return 0;
}