2 files changed, 13 insertions, 19 deletions
diff --git a/challenge-169/mark-anderson/raku/ch-1.raku b/challenge-169/mark-anderson/raku/ch-1.raku
index e6e7ed1db2..a544270be7 100644
--- a/challenge-169/mark-anderson/raku/ch-1.raku
+++ b/challenge-169/mark-anderson/raku/ch-1.raku
@@ -8,13 +8,10 @@ is-deeply brilliant[990..999], (50429, 50467, 50573, 50621, 50629, 50657, 50689,
 
 is-deeply brilliant[9990..9999], (694151, 694691, 694921, 694931, 695027, 695273, 695399, 695531, 695683, 696191);
 
-sub brilliant
+multi brilliant { (1, 10, 100...*).map(&brilliant).flat }
+
+multi brilliant(\n)
 {
-    sub brilliant(\n)
-    {
-        my \primes = (n..^n*10).grep(&is-prime).List;
-        sort unique primes X* primes;
-    }
-    
-    (1, 10, 100...*).map(&brilliant).flat
+    my \primes = (n..^n*10).grep(&is-prime).List;
+    sort unique primes X* primes
 }
diff --git a/challenge-169/mark-anderson/raku/ch-2.raku b/challenge-169/mark-anderson/raku/ch-2.raku
index 48bb0927db..75198c2c74 100644
--- a/challenge-169/mark-anderson/raku/ch-2.raku
+++ b/challenge-169/mark-anderson/raku/ch-2.raku
@@ -15,15 +15,12 @@ is-deeply Achilles[^100],
           15488, 15552, 16000, 16200, 16875, 16928, 17496, 17672, 18000, 18252,
           18432, 19208, 19652, 19773, 20000, 20808, 21125, 21168, 21296, 21600);
 
-sub Achilles
+multi Achilles { (2..*).hyper.grep(&Achilles).flat }
+
+multi Achilles(\n)
 {
-    sub Achilles(\n)
-    {
-        my \pf = prime-factors(n).List;
-        my \powerful  = so n %% all pf.squish >>**>> 2; 
-        my \imperfect = ([gcd] pf.Bag.values) == 1;
-        powerful and imperfect
-    }
-    
-    (2..*).hyper.grep(&Achilles)
-}    
+    my \pf = prime-factors(n).List;
+    my \powerful  = so n %% all pf.squish >>**>> 2; 
+    my \imperfect = ([gcd] pf.Bag.values) == 1;
+    powerful and imperfect
+}