- Added solutions by Mark Senn.

18 files changed, 1986 insertions, 1903 deletions

diff --git a/challenge-155/mark-senn/blog.txt b/challenge-155/mark-senn/blog.txt
new file mode 100644
index 0000000000..ce08715cd1
--- /dev/null
+++ b/challenge-155/mark-senn/blog.txt
@@ -0,0 +1 @@
+https://engineering.purdue.edu/~mark/twc-155-1.pdf
diff --git a/challenge-155/mark-senn/blog1.txt b/challenge-155/mark-senn/blog1.txt
new file mode 100644
index 0000000000..d9fe46e510
--- /dev/null
+++ b/challenge-155/mark-senn/blog1.txt
@@ -0,0 +1 @@
+https://engineering.purdue.edu/~mark/twc-155-2.pdf
diff --git a/challenge-155/mark-senn/raku/ch-1.raku b/challenge-155/mark-senn/raku/ch-1.raku
new file mode 100644
index 0000000000..d05e942b93
--- /dev/null
+++ b/challenge-155/mark-senn/raku/ch-1.raku
@@ -0,0 +1,34 @@
+use v6.d;
+
+# Print the first 8 unique and sorted Fortunate Numbers.
+my $n = 8;
+
+# Guess that first 50 primes and primorials will give
+# the first 8 unique and sorted Fortunate Numbers.
+my $nn = 50;
+
+# Get the first nn primes.
+my @prime = (2..*).grep(&is-prime).head($nn);
+
+# Compute the first nn primorials.
+my @primorial;
+@primorial[0]= @prime[0];
+for (1..^$nn)
+{
+    @primorial[$_] = @primorial[$_-1] * @prime[$_];
+}
+
+# Save the first $nn m's.
+my @m = ();
+# Loop through the first nn primorials.
+for (0..^$nn) -> $i
+{
+    # For each primorial check if it plus m is prime, for m = 2 to whatever.
+    for (2..*) -> $m
+    {
+    	(@primorial[$i] + $m).is-prime and @m.push($m), last;
+    }
+}
+
+# Print the first 8 unique and sorted Fortunate Numbers.
+@m.unique.sort.head(8).join(', ').say;
diff --git a/challenge-155/mark-senn/raku/ch-2.raku b/challenge-155/mark-senn/raku/ch-2.raku
new file mode 100644
index 0000000000..c87073081f
--- /dev/null
+++ b/challenge-155/mark-senn/raku/ch-2.raku
@@ -0,0 +1,28 @@
+# Use Raku version 6.d.
+use v6.d;
+
+# Find the period of the 3rd Pisano period.
+my $modulo = 3;
+
+# Define a Fibonacci series (called sequence in Raku).
+# The last number in the series is the first number greater than 10,000.
+my $fibonacci := 0, 1, -> $a, $b {$a + $b} ... -> $a {$a > 10_000};
+
+# Compute the Fibonacci series modulo $modulo.
+my @modulo = $fibonacci >>%>> $modulo;
+
+# Find the period.
+# Test periods from 2 to whatever.
+for (2..*) -> $period
+{
+    # Divide @modulo into groups of period using ".rotor($period)"---groups
+    # with fewer than period elements are ignored.
+    # See
+    # https://docs.raku.org/language/operators#infix_eqv
+    # for information about "eqv".
+    # "[eqv] (1,2,3,4)" is equivalent to "1 eqv 2 eqv 3 eqv 4".
+    # "[eqv] ((1,2), (3,4))" is equivalent to "(1,2) eqv (3,4)".
+    # If all groups are equal that is the period.
+
+    [eqv] @modulo.rotor($period) and $period.say, last;
+}2
diff --git a/stats/pwc-current.json b/stats/pwc-current.json
index 91c04d2f28..eebe45b4f6 100644
--- a/stats/pwc-current.json
+++ b/stats/pwc-current.json
@@ -1,11 +1,10 @@
 {
-   "yAxis" : {
-      "title" : {
-         "text" : "Total Solutions"
-      }
+   "chart" : {
+      "type" : "column"
    },
    "series" : [
       {
+         "colorByPoint" : 1,
          "data" : [
             {
                "name" : "Abigail",
@@ -13,84 +12,89 @@
                "drilldown" : "Abigail"
             },
             {
+               "drilldown" : "Athanasius",
                "name" : "Athanasius",
-               "y" : 4,
-               "drilldown" : "Athanasius"
+               "y" : 4
             },
             {
                "drilldown" : "Cheok-Yin Fung",
-               "y" : 3,
-               "name" : "Cheok-Yin Fung"
+               "name" : "Cheok-Yin Fung",
+               "y" : 3
             },
             {
                "name" : "Colin Crain",
-               "drilldown" : "Colin Crain",
-               "y" : 2
+               "y" : 2,
+               "drilldown" : "Colin Crain"
             },
             {
-               "y" : 3,
                "drilldown" : "Dave Jacoby",
-               "name" : "Dave Jacoby"
+               "name" : "Dave Jacoby",
+               "y" : 3
             },
             {
-               "name" : "E. Choroba",
+               "drilldown" : "E. Choroba",
                "y" : 2,
-               "drilldown" : "E. Choroba"
+               "name" : "E. Choroba"
             },
             {
                "y" : 6,
-               "drilldown" : "Flavio Poletti",
-               "name" : "Flavio Poletti"
+               "name" : "Flavio Poletti",
+               "drilldown" : "Flavio Poletti"
             },
             {
-               "drilldown" : "James Smith",
+               "name" : "James Smith",
                "y" : 3,
-               "name" : "James Smith"
+               "drilldown" : "James Smith"
             },
             {
                "name" : "Jan Krnavek",
-               "drilldown" : "Jan Krnavek",
-               "y" : 1
+               "y" : 1,
+               "drilldown" : "Jan Krnavek"
             },
             {
-               "name" : "Jorg Sommrey",
                "y" : 2,
+               "name" : "Jorg Sommrey",
                "drilldown" : "Jorg Sommrey"
             },
             {
-               "y" : 3,
                "drilldown" : "Laurent Rosenfeld",
-               "name" : "Laurent Rosenfeld"
+               "name" : "Laurent Rosenfeld",
+               "y" : 3
             },
             {
+               "drilldown" : "Lubos Kolouch",
                "name" : "Lubos Kolouch",
-               "y" : 2,
-               "drilldown" : "Lubos Kolouch"
+               "y" : 2
             },
             {
-               "drilldown" : "Luca Ferrari",
                "y" : 6,
-               "name" : "Luca Ferrari"
+               "name" : "Luca Ferrari",
+               "drilldown" : "Luca Ferrari"
             },
             {
+               "y" : 2,
                "name" : "Mark Anderson",
-               "drilldown" : "Mark Anderson",
-               "y" : 2
+               "drilldown" : "Mark Anderson"
+            },
+            {
+               "y" : 4,
+               "name" : "Mark Senn",
+               "drilldown" : "Mark Senn"
             },
             {
                "y" : 2,
-               "drilldown" : "Marton Polgar",
-               "name" : "Marton Polgar"
+               "name" : "Marton Polgar",
+               "drilldown" : "Marton Polgar"
             },
             {
-               "drilldown" : "Matthew Neleigh",
                "y" : 2,
-               "name" : "Matthew Neleigh"
+               "name" : "Matthew Neleigh",
+               "drilldown" : "Matthew Neleigh"
             },
             {
+               "y" : 2,
                "name" : "Niels van Dijke",
-               "drilldown" : "Niels van Dijke",
-               "y" : 2
+               "drilldown" : "Niels van Dijke"
             },
             {
                "name" : "Peter Campbell Smith",
@@ -98,14 +102,14 @@
                "drilldown" : "Peter Campbell Smith"
             },
             {
-               "y" : 2,
                "drilldown" : "PokGoPun",
+               "y" : 2,
                "name" : "PokGoPun"
             },
             {
+               "name" : "Robert DiCicco",
                "y" : 2,
-               "drilldown" : "Robert DiCicco",
-               "name" : "Robert DiCicco"
+               "drilldown" : "Robert DiCicco"
             },
             {
                "drilldown" : "Roger Bell_West",
@@ -118,17 +122,29 @@
                "name" : "Ulrich Rieke"
             },
             {
-               "name" : "W. Luis Mochan",
                "y" : 3,
+               "name" : "W. Luis Mochan",
                "drilldown" : "W. Luis Mochan"
             }
          ],
-         "name" : "The Weekly Challenge - 155",
-         "colorByPoint" : 1
+         "name" : "The Weekly Challenge - 155"
       }
    ],
-   "legend" : {
-      "enabled" : 0
+   "tooltip" : {
+      "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/>",
+      "followPointer" : 1
+   },
+   "xAxis" : {
+      "type" : "category"
+   },
+   "yAxis" : {
+      "title" : {
+         "text" : "Total Solutions"
+      }
+   },
+   "subtitle" : {
+      "text" : "[Champions: 24] Last updated at 2022-03-13 12:05:47 GMT"
    },
    "plotOptions" : {
       "series" : {
@@ -139,14 +155,6 @@
          "borderWidth" : 0
       }
    },
-   "tooltip" : {
-      "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/>",
-      "followPointer" : 1
-   },
-   "title" : {
-      "text" : "The Weekly Challenge - 155"
-   },
    "drilldown" : {
       "series" : [
          {
@@ -160,6 +168,8 @@
             "name" : "Abigail"
          },
          {
+            "id" : "Athanasius",
+            "name" : "Athanasius",
             "data" : [
                [
                   "Perl",
@@ -169,13 +179,9 @@
                   "Raku",
                   2
                ]
-            ],
-            "id" : "Athanasius",
-            "name" : "Athanasius"
+            ]
          },
          {
-            "id" : "Cheok-Yin Fung",
-            "name" : "Cheok-Yin Fung",
             "data" : [
                [
                   "Perl",
@@ -185,21 +191,21 @@
                   "Blog",
                   1
                ]
-            ]
+            ],
+            "name" : "Cheok-Yin Fung",
+            "id" : "Cheok-Yin Fung"
          },
          {
+            "name" : "Colin Crain",
+            "id" : "Colin Crain",
             "data" : [
                [
                   "Blog",
                   2
                ]
-            ],
-            "name" : "Colin Crain",
-            "id" : "Colin Crain"
+            ]
          },
          {
-            "name" : "Dave Jacoby",
-            "id" : "Dave Jacoby",
             "data" : [
                [
                   "Perl",
@@ -209,7 +215,9 @@
                   "Blog",
                   1
                ]
-            ]
+            ],
+            "name" : "Dave Jacoby",
+            "id" : "Dave Jacoby"
          },
          {
             "data" : [
@@ -222,8 +230,8 @@
             "id" : "E. Choroba"
          },
          {
-            "id" : "Flavio Poletti",
             "name" : "Flavio Poletti",
+            "id" : "Flavio Poletti",
             "data" : [
                [
                   "Perl",
@@ -240,8 +248,8 @@
             ]
          },
          {
-            "id" : "James Smith",
             "name" : "James Smith",
+            "id" : "James Smith",
             "data" : [
                [
                   "Perl",
@@ -264,8 +272,8 @@
             "id" : "Jan Krnavek"
          },
          {
-            "name" : "Jorg Sommrey",
             "id" : "Jorg Sommrey",
+            "name" : "Jorg Sommrey",
             "data" : [
                [
                   "Perl",
@@ -274,8 +282,8 @@
             ]
          },
          {
-            "name" : "Laurent Rosenfeld",
             "id" : "Laurent Rosenfeld",
+            "name" : "Laurent Rosenfeld",
             "data" : [
                [
                   "Perl",
@@ -316,12 +324,26 @@
             "name" : "Luca Ferrari"
          },
          {
+            "data" : [
+               [
+                  "Raku",
+                  2
+               ]
+            ],
             "name" : "Mark Anderson",
-            "id" : "Mark Anderson",
+            "id" : "Mark Anderson"
+         },
+         {
+            "id" : "Mark Senn",
+            "name" : "Mark Senn",
             "data" : [
                [
                   "Raku",
                   2
+               ],
+               [
+                  "Blog",
+                  2
                ]
             ]
          },
@@ -342,12 +364,12 @@
                   2
                ]
             ],
-            "name" : "Matthew Neleigh",
-            "id" : "Matthew Neleigh"
+            "id" : "Matthew Neleigh",
+            "name" : "Matthew Neleigh"
          },
          {
-            "name" : "Niels van Dijke",
             "id" : "Niels van Dijke",
+            "name" : "Niels van Dijke",
             "data" : [
                [
                   "Perl",
@@ -370,8 +392,8 @@
             ]
          },
          {
-            "id" : "PokGoPun",
             "name" : "PokGoPun",
+            "id" : "PokGoPun",
             "data" : [
                [
                   "Perl",
@@ -380,18 +402,18 @@
             ]
          },
          {
-            "id" : "Robert DiCicco",
-            "name" : "Robert DiCicco",
             "data" : [
                [
                   "Perl",
                   2
                ]
-            ]
+            ],
+            "id" : "Robert DiCicco",
+            "name" : "Robert DiCicco"
          },
          {
-            "id" : "Roger Bell_West",
             "name" : "Roger Bell_West",
+            "id" : "Roger Bell_West",
             "data" : [
                [
                   "Perl",
@@ -408,8 +430,6 @@
             ]
          },
          {
-            "id" : "Ulrich Rieke",
-            "name" : "Ulrich Rieke",
             "data" : [
                [
                   "Perl",
@@ -419,11 +439,11 @@
                   "Raku",
                   2
                ]
-            ]
+            ],
+            "name" : "Ulrich Rieke",
+            "id" : "Ulrich Rieke"
          },
          {
-            "name" : "W. Luis Mochan",
-            "id" : "W. Luis Mochan",
             "data" : [
                [
                   "Perl",
@@ -433,17 +453,16 @@
                   "Blog",
                   1
                ]
-            ]
+            ],
+            "id" : "W. Luis Mochan",
+            "name" : "W. Luis Mochan"
          }
       ]
    },
-   "subtitle" : {
-      "text" : "[Champions: 23] Last updated at 2022-03-13 11:27:53 GMT"
-   },
-   "chart" : {
-      "type" : "column"
+   "title" : {
+      "text" : "The Weekly Challenge - 155"
    },
-   "xAxis" : {
-      "type" : "category"
+   "legend" : {
+      "enabled" : 0
    }
 }
diff --git a/stats/pwc-language-breakdown-summary.json b/stats/pwc-language-breakdown-summary.json
index b0053ecc9a..c70fd1bd77 100644
--- a/stats/pwc-language-breakdown-summary.json
+++ b/stats/pwc-language-breakdown-summary.json
@@ -2,13 +2,28 @@
    "legend" : {
       "enabled" : "false"
    },
+   "title" : {
+      "text" : "The Weekly Challenge Contributions [2019 - 2022]"
+   },
    "series" : [
       {
+         "dataLabels" : {
+            "enabled" : "true",
+            "color" : "#FFFFFF",
+            "style" : {
+               "fontFamily" : "Verdana, sans-serif",
+               "fontSize" : "13px"
+            },
+            "align" : "right",
+            "format" : "{point.y:.0f}",
+            "rotation" : -90,
+            "y" : 10
+         },
          "name" : "Contributions",
          "data" : [
             [
                "Blog",
-               2341
+               2343
             ],
             [
                "Perl",
@@ -16,48 +31,33 @@
             ],
             [
                "Raku",
-               4480
+               4482
             ]
-         ],
-         "dataLabels" : {
-            "align" : "right",
-            "enabled" : "true",
-            "color" : "#FFFFFF",
-            "format" : "{point.y:.0f}",
-            "rotation" : -90,
-            "style" : {
-               "fontSize" : "13px",
-               "fontFamily" : "Verdana, sans-serif"
-            },
-            "y" : 10
-         }
+         ]
       }
    ],
+   "chart" : {
+      "type" : "column"
+   },
    "yAxis" : {
+      "min" : 0,
       "title" : {
          "text" : null
-      },
-      "min" : 0
-   },
-   "tooltip" : {
-      "pointFormat" : "<b>{point.y:.0f}</b>"
-   },
-   "title" : {
-      "text" : "The Weekly Challenge Contributions [2019 - 2022]"
+      }
    },
    "subtitle" : {
-      "text" : "Last updated at 2022-03-13 11:27:53 GMT"
+      "text" : "Last updated at 2022-03-13 12:05:47 GMT"
    },
-   "chart" : {
-      "type" : "column"
+   "tooltip" : {
+      "pointFormat" : "<b>{point.y:.0f}</b>"
    },
    "xAxis" : {
+      "type" : "category",
       "labels" : {
          "style" : {
-            "fontFamily" : "Verdana, sans-serif",
-            "fontSize" : "13px"
+            "fontSize" : "13px",
+            "fontFamily" : "Verdana, sans-serif"
          }
-      },
-      "type" : "category"
+      }
    }
 }
diff --git a/stats/pwc-language-breakdown.json b/stats/pwc-language-breakdown.json
index 4f681a5132..d0156dd003 100644
--- a/stats/pwc-language-breakdown.json
+++ b/stats/pwc-language-breakdown.json
@@ -1,805 +1,9 @@
 {
-   "title" : {
-      "text" : "The Weekly Challenge Language"
-   },
-   "tooltip" : {
-      "headerFormat" : "<span style=\"font-size:11px\"></span>",
-      "pointFormat" : "<span style=\"color:{point.color}\">Challenge {point.name}</span>: <b>{point.y:f}</b><br/>",
-      "followPointer" : "true"
-   },
-   "series" : [
-      {
-         "data" : [
-            {
-               "y" : 161,
-               "drilldown" : "001",
-               "name" : "#001"
-            },
-            {
-               "drilldown" : "002",
-               "y" : 125,
-               "name" : "#002"
-            },
-            {
-               "name" : "#003",
-               "drilldown" : "003",
-               "y" : 83
-            },
-            {
-               "drilldown" : "004",
-               "y" : 99,
-               "name" : "#004"
-            },
-            {
-               "name" : "#005",
-               "drilldown" : "005",
-               "y" : 78
-            },
-            {
-               "drilldown" : "006",
-               "y" : 58,
-               "name" : "#006"
-            },
-            {
-               "name" : "#007",
-               "drilldown" : "007",
-               "y" : 64
-            },
-            {
-               "y" : 78,
-               "drilldown" : "008",
-               "name" : "#008"
-            },
-            {
-               "y" : 76,
-               "drilldown" : "009",
-               "name" : "#009"
-            },
-            {
-               "drilldown" : "010",
-               "y" : 65,
-               "name" : "#010"
-            },
-            {
-               "name" : "#011",
-               "drilldown" : "011",
-               "y" : 85
-            },
-            {
-               "name" : "#012",
-               "y" : 89,
-               "drilldown" : "012"
-            },
-            {
-               "y" : 85,
-               "drilldown" : "013",
-               "name" : "#013"
-            },
-            {
-               "y" : 101,
-               "drilldown" : "014",
-               "name" : "#014"
-            },
-            {
-               "name" : "#015",
-               "drilldown" : "015",
-               "y" : 99
-            },
-            {
-               "name" : "#016",
-               "y" : 71,
-               "drilldown" : "016"
-            },
-            {
-               "drilldown" : "017",
-               "y" : 84,
-               "name" : "#017"
-            },
-            {
-               "name" : "#018",
-               "drilldown" : "018",
-               "y" : 81
-            },
-            {
-               "name" : "#019",
-               "drilldown" : "019",
-               "y" : 103
-            },
-            {
-               "name" : "#020",
-               "y" : 101,
-               "drilldown" : "020"
-            },
-            {
-               "drilldown" : "021",
-               "y" : 72,
-               "name" : "#021"
-            },
-            {
-               "drilldown" : "022",
-               "y" : 68,
-               "name" : "#022"
-            },
-            {
-               "name" : "#023",
-               "drilldown" : "023",
-               "y" : 97
-            },
-            {
-               "name" : "#024",
-               "drilldown" : "024",
-               "y" : 75
-            },
-            {
-               "drilldown" : "025",
-               "y" : 59,
-               "name" : "#025"
-            },
-            {
-               "name" : "#026",
-               "y" : 74,
-               "drilldown" : "026"
-            },
-            {
-               "name" : "#027",
-               "drilldown" : "027",
-               "y" : 62
-            },
-            {
-               "y" : 82,
-               "drilldown" : "028",
-               "name" : "#028"
-            },
-            {
-               "name" : "#029",
-               "y" : 81,
-               "drilldown" : "029"
-            },
-            {
-               "y" : 119,
-               "drilldown" : "030",
-               "name" : "#030"
-            },
-            {
-               "name" : "#031",
-               "y" : 91,
-               "drilldown" : "031"
-            },
-            {
-               "name" : "#032",
-               "y" : 96,
-               "drilldown" : "032"
-            },
-            {
-               "y" : 112,
-               "drilldown" : "033",
-               "name" : "#033"
-            },
-            {
-               "drilldown" : "034",
-               "y" : 66,
-               "name" : "#034"
-            },
-            {
-               "drilldown" : "035",
-               "y" : 66,
-               "name" : "#035"
-            },
-            {
-               "name" : "#036",
-               "drilldown" : "036",
-               "y" : 68
-            },
-            {
-               "drilldown" : "037",
-               "y" : 67,
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