From a342a2a8c68002436c2de98b8436cd8e85558079 Mon Sep 17 00:00:00 2001
From: arnesom <arne@bbop.org>
Date: Thu, 6 Apr 2023 19:05:27 +0200
Subject: Arne Sommer

---
 challenge-211/arne-sommer/blog.txt                |  1 +
 challenge-211/arne-sommer/raku/ch-1.raku          | 43 +++++++++++++++++++++++
 challenge-211/arne-sommer/raku/ch-2.raku          | 28 +++++++++++++++
 challenge-211/arne-sommer/raku/split-same-average | 28 +++++++++++++++
 challenge-211/arne-sommer/raku/toeplitz-matrix    | 43 +++++++++++++++++++++++
 5 files changed, 143 insertions(+)
 create mode 100644 challenge-211/arne-sommer/blog.txt
 create mode 100755 challenge-211/arne-sommer/raku/ch-1.raku
 create mode 100755 challenge-211/arne-sommer/raku/ch-2.raku
 create mode 100755 challenge-211/arne-sommer/raku/split-same-average
 create mode 100755 challenge-211/arne-sommer/raku/toeplitz-matrix

diff --git a/challenge-211/arne-sommer/blog.txt b/challenge-211/arne-sommer/blog.txt
new file mode 100644
index 0000000000..3fb70a3139
--- /dev/null
+++ b/challenge-211/arne-sommer/blog.txt
@@ -0,0 +1 @@
+https://raku-musings.com/same-toeplitz.html
diff --git a/challenge-211/arne-sommer/raku/ch-1.raku b/challenge-211/arne-sommer/raku/ch-1.raku
new file mode 100755
index 0000000000..53e3a53d69
--- /dev/null
+++ b/challenge-211/arne-sommer/raku/ch-1.raku
@@ -0,0 +1,43 @@
+#! /usr/bin/env raku
+
+unit sub MAIN (Str $matrix = "4 3 2 1 | 5 4 3 2 | 6 5 4 3", :v(:$verbose)); 
+
+my @matrix = $matrix.split("|")>>.words>>.Array;
+my @size   = @matrix>>.elems;
+
+die "Must have at least 2 rows" unless @size.elems >= 2;
+die "The rows must have the same size" unless [==] @size;
+
+while @matrix.elems
+{
+  @matrix.shift if @matrix[0].elems == 0;
+
+  last unless @matrix.elems;
+
+  my $row = 0;
+  my $col = @matrix[$row].end;
+
+  my $value = @matrix[$row].pop;
+
+  say ": Row:0 { @matrix.raku } -> $value (last value removed from row)" if $verbose;
+
+  loop
+  {
+    $row++;
+    $col++;
+    last unless defined @matrix[$row];
+    last unless defined @matrix[$row][$col];
+
+    my $new = @matrix[$row].pop;
+    
+    say ": Row:$row { @matrix.raku } -> $new (last value removed from row)" if $verbose;
+    
+    unless $value eq $new
+    {
+      say 'false';
+      exit;
+    }
+  }
+}
+
+say 'true';
diff --git a/challenge-211/arne-sommer/raku/ch-2.raku b/challenge-211/arne-sommer/raku/ch-2.raku
new file mode 100755
index 0000000000..f404108103
--- /dev/null
+++ b/challenge-211/arne-sommer/raku/ch-2.raku
@@ -0,0 +1,28 @@
+#! /usr/bin/env raku
+
+unit sub MAIN (*@int where @int.elems > 0 && @int.all ~~ UInt && @int.all > 0, :v(:$verbose));
+
+for @int.permutations.unique -> @candidate
+{
+  say ": Candidate: @candidate[]" if $verbose;
+
+  my @right = @candidate.clone;
+  my @left;
+  
+  while @right.elems > 1
+  {
+    @left.push: @right.shift;
+    my $left-avg  = @left.sum / @left.elems;
+    my $right-avg = @right.sum / @right.elems;
+ 
+    say ": - Comparing @left[] (avg: $left-avg) <=> @right[] (avg: $right-avg)" if $verbose;
+
+    if $left-avg == $right-avg
+    {
+      say 'true';
+      exit;
+    }
+  }
+}
+
+say 'false';
diff --git a/challenge-211/arne-sommer/raku/split-same-average b/challenge-211/arne-sommer/raku/split-same-average
new file mode 100755
index 0000000000..f404108103
--- /dev/null
+++ b/challenge-211/arne-sommer/raku/split-same-average
@@ -0,0 +1,28 @@
+#! /usr/bin/env raku
+
+unit sub MAIN (*@int where @int.elems > 0 && @int.all ~~ UInt && @int.all > 0, :v(:$verbose));
+
+for @int.permutations.unique -> @candidate
+{
+  say ": Candidate: @candidate[]" if $verbose;
+
+  my @right = @candidate.clone;
+  my @left;
+  
+  while @right.elems > 1
+  {
+    @left.push: @right.shift;
+    my $left-avg  = @left.sum / @left.elems;
+    my $right-avg = @right.sum / @right.elems;
+ 
+    say ": - Comparing @left[] (avg: $left-avg) <=> @right[] (avg: $right-avg)" if $verbose;
+
+    if $left-avg == $right-avg
+    {
+      say 'true';
+      exit;
+    }
+  }
+}
+
+say 'false';
diff --git a/challenge-211/arne-sommer/raku/toeplitz-matrix b/challenge-211/arne-sommer/raku/toeplitz-matrix
new file mode 100755
index 0000000000..53e3a53d69
--- /dev/null
+++ b/challenge-211/arne-sommer/raku/toeplitz-matrix
@@ -0,0 +1,43 @@
+#! /usr/bin/env raku
+
+unit sub MAIN (Str $matrix = "4 3 2 1 | 5 4 3 2 | 6 5 4 3", :v(:$verbose)); 
+
+my @matrix = $matrix.split("|")>>.words>>.Array;
+my @size   = @matrix>>.elems;
+
+die "Must have at least 2 rows" unless @size.elems >= 2;
+die "The rows must have the same size" unless [==] @size;
+
+while @matrix.elems
+{
+  @matrix.shift if @matrix[0].elems == 0;
+
+  last unless @matrix.elems;
+
+  my $row = 0;
+  my $col = @matrix[$row].end;
+
+  my $value = @matrix[$row].pop;
+
+  say ": Row:0 { @matrix.raku } -> $value (last value removed from row)" if $verbose;
+
+  loop
+  {
+    $row++;
+    $col++;
+    last unless defined @matrix[$row];
+    last unless defined @matrix[$row][$col];
+
+    my $new = @matrix[$row].pop;
+    
+    say ": Row:$row { @matrix.raku } -> $new (last value removed from row)" if $verbose;
+    
+    unless $value eq $new
+    {
+      say 'false';
+      exit;
+    }
+  }
+}
+
+say 'true';
-- 
cgit