diff --git a/p3/lrls/helper.go b/p3/lrls/helper.go
index 3b67025..2620e6f 100644
--- a/p3/lrls/helper.go
+++ b/p3/lrls/helper.go
@@ -56,3 +56,50 @@ func covMatrices(size, params int) ([]*mat.Dense, error) {
 
 	return cms, nil
 }
+
+// nolint: unused
+func newTheta(size, params int) ([][]float64, error) {
+	switch {
+	case size < 1:
+		return nil, errors.New("ErrThetaSize")
+
+	case params < 4 || params > 5:
+		log.Printf("error: params needs to be from the set {4 ,5}, got: %d", params)
+		return nil, errors.New("ErrBadParams")
+	}
+
+	th := make([][]float64, size)
+
+	// initialise.
+	for i := range th {
+		th[i] = make([]float64, params)
+	}
+
+	// specifically set the second vector to all 0.1s.
+	for i := range th[1] {
+		th[1][i] = 0.1
+	}
+
+	return th, nil
+}
+
+// nolint: unused
+func newFi(size, params int) ([][]float64, error) {
+	switch {
+	case size < 1:
+		return nil, errors.New("ErrFiSize")
+
+	case params < 4 || params > 5:
+		log.Printf("error: params needs to be from the set {4 ,5}, got: %d", params)
+		return nil, errors.New("ErrBadParams")
+	}
+
+	fi := make([][]float64, size)
+
+	// prealloc.
+	for i := range fi {
+		fi[i] = make([]float64, params)
+	}
+
+	return fi, nil
+}