- Added solutions by Ulrich Rieke.

21 files changed, 2492 insertions, 2255 deletions

diff --git a/challenge-175/ulrich-rieke/cpp/ch-2.cpp b/challenge-175/ulrich-rieke/cpp/ch-2.cpp
new file mode 100644
index 0000000000..2f910a3bfc
--- /dev/null
+++ b/challenge-175/ulrich-rieke/cpp/ch-2.cpp
@@ -0,0 +1,55 @@
+#include <iostream>
+#include <vector>
+#include <numeric>
+#include <algorithm>
+
+int my_gcd( int a , int b ) { //Euclid's algorithm
+  if ( b >= a )
+      std::swap( a , b ) ;
+  while ( a != b ) {
+      a = a - b ;
+      if ( b >= a )
+    std::swap( a , b ) ;
+  }
+  return a ;
+}
+
+int myPhi(  int n ) {
+  std::vector<int> totatives ;
+  for ( int i = 1 ; i < n ; i++ ) {
+      if ( my_gcd( i , n ) == 1 )
+    totatives.push_back( i ) ;
+  }
+  return totatives.size( ) ;
+}
+
+bool isPerfectTotient( int n ) {
+  if ( n == 1 ) {
+      return false ;
+  }
+  int current = n ;
+  std::vector<int> totients ;
+  do {
+      current = myPhi( current ) ;
+      totients.push_back( current ) ;
+  } while ( current != 1 ) ;
+  return std::accumulate( totients.begin( ) , totients.end( ) , 0 ) == n ;
+}
+
+int main( ) {
+  std::vector<int> perfectTotients ;
+  int current = 1 ;
+  while ( perfectTotients.size( ) != 20 ) {
+      if ( isPerfectTotient( current ) ) {
+    perfectTotients.push_back( current ) ;
+      }
+      current++ ;
+  }
+  for ( int i : perfectTotients ) {
+      std::cout << i ;
+      if ( i != perfectTotients.back( ) )
+    std::cout << ',' ;
+  }
+  std::cout << std::endl ;
+  return 0 ;
+}
diff --git a/challenge-175/ulrich-rieke/haskell/ch-1.hs b/challenge-175/ulrich-rieke/haskell/ch-1.hs
new file mode 100644
index 0000000000..5175584c08
--- /dev/null
+++ b/challenge-175/ulrich-rieke/haskell/ch-1.hs
@@ -0,0 +1,15 @@
+module Challenge175
+  where
+import Data.Time.Calendar
+
+findLastSunday :: Integer -> Int -> Day
+findLastSunday year month = myFunc $ fromGregorian year month
+(gregorianMonthLength year month )
+  where
+  myFunc :: Day -> Day
+  myFunc d = until ( (== Sunday ) . dayOfWeek ) change d
+    where
+    change = addDays (- 1 )
+
+solution :: Integer -> [String]
+solution year = map (\m -> showGregorian $ findLastSunday year m ) [1 .. 12]
diff --git a/challenge-175/ulrich-rieke/haskell/ch-2.hs b/challenge-175/ulrich-rieke/haskell/ch-2.hs
new file mode 100644
index 0000000000..998bd240a4
--- /dev/null
+++ b/challenge-175/ulrich-rieke/haskell/ch-2.hs
@@ -0,0 +1,14 @@
+module Challenge175_2
+  where
+
+chi :: Int -> Int
+chi n = length $ filter (\i -> gcd i n == 1 ) [1 .. n - 1]
+
+isPerfectTotient :: Int -> Bool
+isPerfectTotient n = (sum $ tail $ until ( (== 1 ) . last ) step [n]) == n
+where
+  step :: [Int] -> [Int]
+  step list = list ++ [ chi $ last list]
+
+solution :: [Int]
+solution = take 20 $ filter isPerfectTotient [1 , 2 ..]
diff --git a/challenge-175/ulrich-rieke/perl/ch-1.pl b/challenge-175/ulrich-rieke/perl/ch-1.pl
new file mode 100644
index 0000000000..408ab32dd9
--- /dev/null
+++ b/challenge-175/ulrich-rieke/perl/ch-1.pl
@@ -0,0 +1,22 @@
+#!/usr/bin/perl ;
+use strict ;
+use warnings ;
+use feature 'say' ;
+use DateTime ;
+
+my $year = $ARGV[0] ;
+my @lastDays = ( 31 , 28 , 31 , 30 , 31 , 30 , 31 , 31 , 30 , 31 , 30 , 31) ;
+my $dt1 = DateTime->new( year => $year , month => 12 , day => 10 ) ;
+if ( $dt1->is_leap_year ) {
+  $lastDays[1] = 29 ;
+}
+my @lastSundays ;
+for my $month( 1 .. 12 ) {
+  my $dt = DateTime->new( year => $year , month => $month , day =>
+    $lastDays[ $month - 1 ] ) ;
+  while ( $dt->day_of_week != 7 ) {
+      $dt->subtract( days => 1 ) ;
+  }
+  push @lastSundays , $dt ;
+}
+map { say $_->ymd} @lastSundays ;
diff --git a/challenge-175/ulrich-rieke/perl/ch-2.pl b/challenge-175/ulrich-rieke/perl/ch-2.pl
new file mode 100644
index 0000000000..15924eaddb
--- /dev/null
+++ b/challenge-175/ulrich-rieke/perl/ch-2.pl
@@ -0,0 +1,65 @@
+#!/usr/bin/perl ;
+use strict ;
+use warnings ;
+use feature 'say' ;
+use List::Util qw ( reduce ) ;
+
+sub gcd { #Euclid's algorithm!
+  my $firstNum = shift ;
+  my $secondNum = shift ;
+  if ( $secondNum >= $firstNum ) {
+      my $swapped = $firstNum ;
+      $firstNum = $secondNum ;
+      $secondNum = $swapped ;
+  }
+  while ( $firstNum != $secondNum ) {
+      $firstNum = $firstNum - $secondNum ;
+      if ( $secondNum >= $firstNum ) {
+    my $swapped = $firstNum ;
+    $firstNum = $secondNum ;
+    $secondNum = $swapped ;
+      }
+  }
+  return $firstNum ;
+}
+
+sub myPhi {
+  my $number = shift ;
+  my @totatives ;
+  for my $i ( 1 .. $number - 1 ) {
+      if ( gcd( $i , $number ) == 1 ) {
+    push @totatives, $i ;
+      }
+  }
+  return scalar( @totatives ) ;
+}
+
+sub isPerfectTotient {
+  my $number = shift ;
+  if ( $number == 1 ) {
+      return 0 ;
+  }
+  my $start = $number ;
+  my @totients ;
+  do {
+      $start = myPhi( $start ) ;
+      push @totients, $start ;
+  } until ( $start == 1 ) ;
+  my $sum = reduce { $a + $b } @totients ;
+  if ( $sum == $number ) {
+      return 1 ;
+  }
+  else {
+      return 0 ;
+  }
+}
+
+my @perfectTotients ;
+my $current = 1 ;
+while ( scalar( @perfectTotients ) != 20 ) {
+  if ( isPerfectTotient( $current ) ) {
+      push @perfectTotients, $current ;
+  }
+  $current++ ;
+}
+say join( ',' , @perfectTotients ) ;
diff --git a/challenge-175/ulrich-rieke/raku/ch-1.raku b/challenge-175/ulrich-rieke/raku/ch-1.raku
new file mode 100644
index 0000000000..42c2278d4a
--- /dev/null
+++ b/challenge-175/ulrich-rieke/raku/ch-1.raku
@@ -0,0 +1,19 @@
+use v6 ;
+
+sub MAIN( Int $year ) {
+  my @lastDays = ( 31 , 28 , 31 , 30 , 31 , 30 , 31 , 31 , 30 , 31 , 30 ,
+    31 ) ;
+  if ( Date.new("$year-01-01").is-leap-year) {
+      @lastDays[ 1 ] = 29 ;
+  }
+  my @lastSundays ;
+  for (1 .. 12 ) -> $month {
+      my $d = Date.new( year => $year , month => $month , day =>
+        @lastDays[ $month - 1 ] ) ;
+      while ( $d.day-of-week != 7 ) {
+    $d = $d.earlier( day => 1 ) ;
+      }
+      @lastSundays.push( $d ) ;
+  }
+  .say for @lastSundays.map( { .Str } ) ;
+}
diff --git a/challenge-175/ulrich-rieke/raku/ch-2.raku b/challenge-175/ulrich-rieke/raku/ch-2.raku
new file mode 100644
index 0000000000..390b1809b3
--- /dev/null
+++ b/challenge-175/ulrich-rieke/raku/ch-2.raku
@@ -0,0 +1,28 @@
+use v6 ;
+
+sub myPhi( Int $n --> Int ) {
+  return (1 .. $n - 1).grep( { $_ gcd $n == 1 }).elems ;
+}
+
+sub isPerfectTotient( Int $n is copy --> Bool ) {
+  if ( $n == 1 ) {
+      return False ;
+  }
+  my @totatives ;
+  my Int $current = $n ;
+  repeat {
+      $current = myPhi( $current ) ;
+      @totatives.push( $current ) ;
+  } until ( $current == 1 ) ;
+  return ([+] @totatives) == $n ;
+}
+
+my @perfectTotients ;
+my Int $current = 1 ;
+while ( @perfectTotients.elems != 20 ) {
+  if ( isPerfectTotient( $current ) ) {
+      @perfectTotients.push( $current ) ;
+  }
+  $current++ ;
+}
+say @perfectTotients ;
diff --git a/stats/pwc-current.json b/stats/pwc-current.json
index 82a32caa04..c7c9e64663 100644
--- a/stats/pwc-current.json
+++ b/stats/pwc-current.json
@@ -1,9 +1,118 @@
 {
+   "series" : [
+      {
+         "name" : "The Weekly Challenge - 175",
+         "data" : [
+            {
+               "name" : "Dave Cross",
+               "drilldown" : "Dave Cross",
+               "y" : 2
+            },
+            {
+               "name" : "E. Choroba",
+               "drilldown" : "E. Choroba",
+               "y" : 2
+            },
+            {
+               "name" : "Flavio Poletti",
+               "y" : 6,
+               "drilldown" : "Flavio Poletti"
+            },
+            {
+               "name" : "Kjetil Skotheim",
+               "y" : 2,
+               "drilldown" : "Kjetil Skotheim"
+            },
+            {
+               "name" : "Laurent Rosenfeld",
+               "y" : 5,
+               "drilldown" : "Laurent Rosenfeld"
+            },
+            {
+               "name" : "Luca Ferrari",
+               "drilldown" : "Luca Ferrari",
+               "y" : 8
+            },
+            {
+               "drilldown" : "Mark Anderson",
+               "y" : 2,
+               "name" : "Mark Anderson"
+            },
+            {
+               "name" : "Mohammad S Anwar",
+               "y" : 2,
+               "drilldown" : "Mohammad S Anwar"
+            },
+            {
+               "name" : "Peter Campbell Smith",
+               "y" : 3,
+               "drilldown" : "Peter Campbell Smith"
+            },
+            {
+               "name" : "Robert DiCicco",
+               "drilldown" : "Robert DiCicco",
+               "y" : 2
+            },
+            {
+               "name" : "Roger Bell_West",
+               "y" : 5,
+               "drilldown" : "Roger Bell_West"
+            },
+            {
+               "name" : "Simon Proctor",
+               "y" : 1,
+               "drilldown" : "Simon Proctor"
+            },
+            {
+               "name" : "Stephen G Lynn",
+               "y" : 5,
+               "drilldown" : "Stephen G Lynn"
+            },
+            {
+               "name" : "Ulrich Rieke",
+               "drilldown" : "Ulrich Rieke",
+               "y" : 4
+            },
+            {
+               "drilldown" : "W. Luis Mochan",
+               "y" : 3,
+               "name" : "W. Luis Mochan"
+            }
+         ],
+         "colorByPoint" : 1
+      }
+   ],
+   "legend" : {
+      "enabled" : 0
+   },
+   "chart" : {
+      "type" : "column"
+   },
+   "plotOptions" : {
+      "series" : {
+         "dataLabels" : {
+            "format" : "{point.y}",
+            "enabled" : 1
+         },
+         "borderWidth" : 0
+      }
+   },
+   "title" : {
+      "text" : "The Weekly Challenge - 175"
+   },
+   "subtitle" : {
+      "text" : "[Champions: 15] Last updated at 2022-07-27 20:10:10 GMT"
+   },
+   "yAxis" : {
+      "title" : {
+         "text" : "Total Solutions"
+      }
+   },
    "drilldown" : {
       "series" : [
          {
-            "id" : "Dave Cross",
             "name" : "Dave Cross",
+            "id" : "Dave Cross",
             "data" : [
                [
                   "Perl",
@@ -12,17 +121,18 @@
             ]
          },
          {
+            "name" : "E. Choroba",
+            "id" : "E. Choroba",
             "data" : [
                [
                   "Perl",
                   2
                ]
-            ],
-            "name" : "E. Choroba",
-            "id" : "E. Choroba"
+            ]
          },
          {
             "name" : "Flavio Poletti",
+            "id" : "Flavio Poletti",
             "data" : [
                [
                   "Perl",
@@ -36,21 +146,21 @@
                   "Blog",
                   2
                ]
-            ],
-            "id" : "Flavio Poletti"
+            ]
          },
          {
             "id" : "Kjetil Skotheim",
-            "name" : "Kjetil Skotheim",
             "data" : [
                [
                   "Perl",
                   2
                ]
-            ]
+            ],
+            "name" : "Kjetil Skotheim"
          },
          {
             "name" : "Laurent Rosenfeld",
+            "id" : "Laurent Rosenfeld",
             "data" : [
                [
                   "Perl",
@@ -64,11 +174,10 @@
                   "Blog",
                   1
                ]
-            ],
-            "id" : "Laurent Rosenfeld"
+            ]
          },
          {
-            "name" : "Luca Ferrari",
+            "id" : "Luca Ferrari",
             "data" : [
                [
                   "Raku",
@@ -79,7 +188,7 @@
                   6
                ]
             ],
-            "id" : "Luca Ferrari"
+            "name" : "Luca Ferrari"
          },
          {
             "name" : "Mark Anderson",
@@ -92,8 +201,8 @@
             "id" : "Mark Anderson"
          },
          {
-            "id" : "Mohammad S Anwar",
             "name" : "Mohammad S Anwar",
+            "id" : "Mohammad S Anwar",
             "data" : [
                [
                   "Perl",
@@ -106,6 +215,7 @@
             ]
          },
          {
+            "name" : "Peter Campbell Smith",
             "data" : [
                [
                   "Perl",
@@ -116,11 +226,11 @@
                   1
                ]
             ],
-            "name" : "Peter Campbell Smith",
             "id" : "Peter Campbell Smith"
          },
          {
             "name" : "Robert DiCicco",
+            "id" : "Robert DiCicco",
             "data" : [
                [
                   "Perl",
@@ -130,12 +240,11 @@
                   "Raku",
                   1
                ]
-            ],
-            "id" : "Robert DiCicco"
+            ]
          },
          {
-            "id" : "Roger Bell_West",
             "name" : "Roger Bell_West",
+            "id" : "Roger Bell_West",
             "data" : [
                [
                   "Perl",
@@ -152,17 +261,16 @@
             ]
          },
          {
+            "name" : "Simon Proctor",
             "id" : "Simon Proctor",
             "data" : [
                [
                   "Raku",
                   1
                ]
-            ],
-            "name" : "Simon Proctor"
+            ]
          },
          {
-            "id" : "Stephen G Lynn",
             "data" : [
                [
                   "Perl",
@@ -177,10 +285,24 @@
                   1
                ]
             ],
+            "id" : "Stephen G Lynn",
             "name" : "Stephen G Lynn"
          },
          {
-            "id" : "W. Luis Mochan",
+            "name" : "Ulrich Rieke",
+            "id" : "Ulrich Rieke",
+            "data" : [
+               [
+                  "Perl",
+                  2
+               ],
+               [
+                  "Raku",
+                  2
+               ]
+            ]
+         },
+         {
             "name" : "W. Luis Mochan",
             "data" : [
                [
@@ -191,120 +313,17 @@
                   "Blog",
                   1
                ]
-            ]
+            ],
+            "id" : "W. Luis Mochan"
          }
       ]
    },
-   "plotOptions" : {
-      "series" : {
-         "borderWidth" : 0,
-         "dataLabels" : {
-            "format" : "{point.y}",
-            "enabled" : 1
-         }
-      }
-   },
    "xAxis" : {
       "type" : "category"
    },
-   "title" : {
-      "text" : "The Weekly Challenge - 175"
-   },
-   "yAxis" : {
-      "title" : {
-         "text" : "Total Solutions"
-      }
-   },
-   "series" : [
-      {
-         "colorByPoint" : 1,
-         "name" : "The Weekly Challenge - 175",
-         "data" : [
-            {
-               "y" : 2,
-               "drilldown" : "Dave Cross",
-               "name" : "Dave Cross"
-            },
-            {
-               "y" : 2,
-               "name" : "E. Choroba",
-               "drilldown" : "E. Choroba"
-            },
-            {
-               "y" : 6,
-               "name" : "Flavio Poletti",
-               "drilldown" : "Flavio Poletti"
-            },
-            {
-               "drilldown" : "Kjetil Skotheim",
-               "name" : "Kjetil Skotheim",
-               "y" : 2
-            },
-            {
-               "y" : 5,
-               "drilldown" : "Laurent Rosenfeld",
-               "name" : "Laurent Rosenfeld"
-            },
-            {
-               "name" : "Luca Ferrari",
-               "drilldown" : "Luca Ferrari",
-               "y" : 8
-            },
-            {
-               "name" : "Mark Anderson",
-               "drilldown" : "Mark Anderson",
-               "y" : 2
-            },
-            {
-               "name" : "Mohammad S Anwar",
-               "drilldown" : "Mohammad S Anwar",
-               "y" : 2
-            },
-            {
-               "y" : 3,
-               "drilldown" : "Peter Campbell Smith",
-               "name" : "Peter Campbell Smith"
-            },
-            {
-               "y" : 2,
-               "name" : "Robert DiCicco",
-               "drilldown" : "Robert DiCicco"
-            },
-            {
-               "drilldown" : "Roger Bell_West",
-               "name" : "Roger Bell_West",
-               "y" : 5
-            },
-            {
-               "drilldown" : "Simon Proctor",
-               "name" : "Simon Proctor",
-               "y" : 1
-            },
-            {
-               "y" : 5,
-               "drilldown" : "Stephen G Lynn",
-               "name" : "Stephen G Lynn"
-            },
-            {
-               "y" : 3,
-               "name" : "W. Luis Mochan",
-               "drilldown" : "W. Luis Mochan"
-            }
-         ]
-      }
-   ],
    "tooltip" : {
-      "headerFormat" : "<span style='font-size:11px'>{series.name}</span><br/>",
       "followPointer" : 1,
+      "headerFormat" : "<span style='font-size:11px'>{series.name}</span><br/>",
       "pointFormat" : "<span style='color:{point.color}'>{point.name}</span>: <b>{point.y:f}</b><br/>"
-   },
-   "subtitle" : {
-      "text" : "[Champions: 14] Last updated at 2022-07-27 20:00:08 GMT"
-   },
-   "legend" : {
-      "enabled" : 0
-   },
-   "chart" : {
-      "type" : "column"
    }
 }
diff --git a/stats/pwc-language-breakdown-summary.json b/stats/pwc-language-breakdown-summary.json
index e766c02d23..3e925d51e0 100644
--- a/stats/pwc-language-breakdown-summary.json
+++ b/stats/pwc-language-breakdown-summary.json
@@ -1,19 +1,25 @@
 {
+   "chart" : {
+      "type" : "column"
+   },
+   "legend" : {
+      "enabled" : "false"
+   },
    "series" : [
       {
+         "name" : "Contributions",
          "dataLabels" : {
-            "style" : {
-               "fontFamily" : "Verdana, sans-serif",
-               "fontSize" : "13px"
-            },
-            "y" : 10,
-            "format" : "{point.y:.0f}",
-            "rotation" : -90,
             "color" : "#FFFFFF",
+            "align" : "right",
+            "rotation" : -90,
+            "format" : "{point.y:.0f}",
+            "y" : 10,
             "enabled" : "true",
-            "align" : "right"
+            "style" : {
+               "fontSize" : "13px",
+               "fontFamily" : "Verdana, sans-serif"
+            }
          },
-         "name" : "Contributions",
          "data" : [
             [
                "Blog",
@@ -21,11 +27,11 @@
             ],
             [
                "Perl",
-               8519
+               8521
             ],
             [
                "Raku",
-               5071
+               5073
             ]
          ]
       }
@@ -33,31 +39,25 @@
    "tooltip" : {
       "pointFormat" : "<b>{point.y:.0f}</b>"
    },
-   "subtitle" : {
-      "text" : "Last updated at 2022-07-27 20:00:08 GMT"
-   },
-   "legend" : {
-      "enabled" : "false"
-   },
-   "chart" : {
-      "type" : "column"
-   },
    "xAxis" : {
-      "type" : "category",
       "labels" : {
          "style" : {
             "fontSize" : "13px",
             "fontFamily" : "Verdana, sans-serif"
          }
-      }
+      },
+      "type" : "category"
    },
    "title" : {
       "text" : "The Weekly Challenge Contributions [2019 - 2022]"
    },
+   "subtitle" : {
+      "text" : "Last updated at 2022-07-27 20:10:10 GMT"
+   },
    "yAxis" : {
+      "min" : 0,
       "title" : {
          "text" : null
-      },
-      "min" : 0
+      }
    }
 }
diff --git a/stats/pwc-language-breakdown.json b/stats/pwc-language-breakdown.json
index 6606bc8495..1df716e4c4 100644
--- a/stats/pwc-language-breakdown.json
+++ b/stats/pwc-language-breakdown.json
@@ -1,9 +1,918 @@
 {
+   "series" : [
+      {
+         "name" : "The Weekly Challenge Languages",
+         "data" : [
+            {
+               "y" : 161,
+               "drilldown" : "001",
+               "name" : "#001"
+            },
+            {
+               "name" : "#002",
+               "drilldown" : "002",
+               "y" : 125
+            },
+            {
+               "drilldown" : "003",
+               "y" : 83,
+               "name" : "#003"
+            },
+            {
+               "y" : 99,
+               "drilldown" : "004",
+               "name" : "#004"
+            },
+            {
+               "drilldown" : "005",
+               "y" : 78,
+               "name" : "#005"
+            },
+            {
+               "y" : 58,
+               "drilldown" : "006",
+               "name" : "#006"
+            },
+            {
+               "name" : "#007",
+               "y" : 65,
+               "drilldown" : "007"
+            },
+            {
+               "name" : "#008",
+               "y" : 78,
+               "drilldown" : "008"
+            },
+            {
+               "name" : "#009",
+               "y" : 76,
+               "drilldown" : "009"
+            },
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