solutions week 089

3 files changed, 77 insertions, 0 deletions

diff --git a/challenge-089/wambash/raku/ch-1.raku b/challenge-089/wambash/raku/ch-1.raku
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index 0000000000..a4aa89b21f
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+++ b/challenge-089/wambash/raku/ch-1.raku
@@ -0,0 +1,19 @@
+#!/usr/bin/env raku
+
+sub gcd-sum (UInt $n) {
+    1..$n
+    andthen .combinations: 2
+    andthen .map:  { [gcd] $_ }\
+    andthen .sum
+}
+
+multi MAIN (UInt $n) {
+    say gcd-sum $n;
+}
+
+multi MAIN (Bool :$test!) {
+    use Test;
+    is gcd-sum(3), 3;
+    is gcd-sum(4), 7;
+    done-testing;
+}
diff --git a/challenge-089/wambash/raku/ch-2.raku b/challenge-089/wambash/raku/ch-2.raku
new file mode 100644
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+++ b/challenge-089/wambash/raku/ch-2.raku
@@ -0,0 +1,48 @@
+#!/usr/bin/env raku
+
+sub make-matrix15 ( +@ (\a, \b, \d, \e) ) {
+    my \c= 15 - (a+b);
+    my \f= 15 - (d+e);
+    my \g= 15 - (a+d);
+    my \h= 15 - (b+e);
+    my \i= 15 - (c+f); #=15- (g+h);
+
+    (
+        a, b, c;
+        d, e, f;
+        g, h, i;
+    )
+}
+
+sub is-matrix15-magical ( @ (*@m) ) { @m.Set eqv set(1..9)}
+
+multi MAIN () {
+    1..9
+    andthen .combinations(4).pick(*)
+    andthen .map:  |*.permutations.pick(*)
+    andthen .map:   &make-matrix15
+    andthen .first: &is-matrix15-magical
+    andthen .fmt('%s', "\n")
+    andthen .say
+}
+
+multi MAIN ( Bool :$test! ) {
+    use Test;
+    my @magical := (
+        5,3,7;
+        1,8,6;
+        9,4,2;
+    );
+    my @not-magical := (
+        5,3,7;
+        8,6,1;
+        2,6,7;
+    );
+    ok  is-matrix15-magical @magical;
+    nok is-matrix15-magical @not-magical;
+    is-deeply make-matrix15(5,3,1,8), @magical;
+    is-deeply make-matrix15(5,3,8,6), @not-magical;
+    ok  is-matrix15-magical make-matrix15 8,1,4,9;
+    nok is-matrix15-magical make-matrix15 8,1,4,3;
+    done-testing;
+}
diff --git a/challenge-089/wambash/scala/ch-1.scala b/challenge-089/wambash/scala/ch-1.scala
new file mode 100644
index 0000000000..d4c177dd9b
--- /dev/null
+++ b/challenge-089/wambash/scala/ch-1.scala
@@ -0,0 +1,10 @@
+
+object gcdSum extends App {
+
+  def gcd(a: Int, b: Int): Int =
+    if (b == 0) a else gcd(b, a % b)
+
+  def gcdSum(r: Int): Int = (1 to r).combinations(2).map( x => gcd(x.head,x.last) ).sum
+
+  println(gcdSum(args.head.toInt))
+}