- Added solutions by Peter Campbell Smith.

16 files changed, 1539 insertions, 1391 deletions

diff --git a/challenge-133/peter-campbell-smith/perl/ch-1.pl b/challenge-133/peter-campbell-smith/perl/ch-1.pl
new file mode 100755
index 0000000000..d4ec3fc1e8
--- /dev/null
+++ b/challenge-133/peter-campbell-smith/perl/ch-1.pl
@@ -0,0 +1,42 @@
+#!/usr/bin/perl
+
+# Peter Campbell Smith - 2021-10-05
+# PWC 133 task 1
+
+use strict;
+use warnings;
+
+# Find the integer square root of a +ve integer, ie the largest integer whose square
+# does not exceed the given number.
+
+# This is a simple binary chop but it works in milliseconds up to some pretty large
+# numbers.
+
+my ($n, $low, $high, $odd, $try);
+
+$n = 123456;
+chomp $n;
+
+$low = 1;    # answer can't be less than this
+$high = $n;  # or more than this
+
+while (1) {
+	
+	# get a trial answer which is the average of $low and $high (rounded up)
+	$odd = ($low + $high) & 1 ? 1 : 0;   # because we aren't allowed to use int()
+	$try = ($low + $high + $odd) / 2;
+	
+	# if the trial's square is larger than n, set the new $high to the trial value
+	if ($try**2 > $n) {
+		$high = $try;
+		
+	# or if it is less than or equal, set the new $low to the trial value
+	} else {
+		$low = $try;
+	}
+	
+	# and finish when $low is just 1 less than $high
+	last if $high == $low + 1;
+}
+
+print qq[$n input\n$low answer\n] . $low**2 . qq[ = answer**2\n] . $high**2 . qq[ = (answer + 1)**2\n];
diff --git a/challenge-133/peter-campbell-smith/perl/ch-2.pl b/challenge-133/peter-campbell-smith/perl/ch-2.pl
new file mode 100755
index 0000000000..559914f063
--- /dev/null
+++ b/challenge-133/peter-campbell-smith/perl/ch-2.pl
@@ -0,0 +1,91 @@
+#!/usr/bin/perl
+
+# Peter Campbell Smith - 2021-10-05
+# PWC 133 task 2
+
+use strict;
+use warnings;
+
+# Find the first 10 Smith numbers.
+
+# A Smith number is not prime and the sum of its digits equals the sum of
+# the digits of its prime factors.
+
+my ($j, $sd_of_number, @prime_factors, $k, $sd_of_prime_factors, $count, @sieve);
+
+# make sieve of Eratosthenes
+@sieve = make_sieve(1000);     # $sieve[$j] == 1 if $j is prime or == 0 if not
+
+# main loop
+$count = 1;
+for $j (2 .. 10000) {
+	next if $sieve[$j];   # not a candidate as $j is prime
+	
+	$sd_of_number = sum_of_digits($j);
+	
+	$sd_of_prime_factors = 0;
+	@prime_factors = prime_factors($j);
+	for $k (@prime_factors) {
+		$sd_of_prime_factors += sum_of_digits($k);
+	}		
+	next unless $sd_of_number == $sd_of_prime_factors;
+	
+	print qq[Smith number $count is $j\n];
+	last if $count ++ == 10;
+}
+
+sub make_sieve {
+	
+	# make sieve of Eratosthenes
+	my ($arg, $j, $k, @sieve);
+	
+	# set all values provisionally to 1 (ie prime)
+	$arg = $_[0];
+	for $j (0 .. $arg) {
+		$sieve[$j] = 1;
+	}
+	
+	# for each prime in turn, set its multiples to 0 (ie not prime)
+	for $j (2 .. $arg) {
+		next unless $sieve[$j];   # $j is not prime		
+		last if $j ** 2 > $arg;
+		for $k ($j .. $arg) {
+			last if $k * $j > $arg;
+			$sieve[$k * $j] = 0;
+		}
+	}
+	return @sieve;
+}
+
+sub sum_of_digits {
+	
+	# returns sum of the digits of the argument
+	my ($number, $digit, $sum);
+	
+	$number = $_[0];
+	while ($number) {
+		$digit = $number % 10;
+		$sum += $digit;
+		$number = ($number - $digit) / 10;
+	}
+	return $sum;
+}
+
+sub prime_factors {
+
+	# return array of prime factors of argument
+	my ($j, $arg, $rem, @factors);
+
+	$arg = $_[0];
+	$rem = $arg;
+	for $j (2 .. $arg) {
+		next unless $sieve[$j];
+		while ($rem % $j == 0) {
+			push @factors, $j;
+			$rem /= $j;
+		}
+	}
+	return @factors;	
+}
+	
+
diff --git a/stats/pwc-current.json b/stats/pwc-current.json
index 6d36474295..5f5b1919ad 100644
--- a/stats/pwc-current.json
+++ b/stats/pwc-current.json
@@ -1,18 +1,7 @@
 {
-   "yAxis" : {
-      "title" : {
-         "text" : "Total Solutions"
-      }
-   },
-   "legend" : {
-      "enabled" : 0
-   },
    "title" : {
       "text" : "The Weekly Challenge - 133"
    },
-   "xAxis" : {
-      "type" : "category"
-   },
    "plotOptions" : {
       "series" : {
          "borderWidth" : 0,
@@ -22,14 +11,21 @@
          }
       }
    },
+   "legend" : {
+      "enabled" : 0
+   },
+   "chart" : {
+      "type" : "column"
+   },
    "series" : [
       {
+         "name" : "The Weekly Challenge - 133",
          "colorByPoint" : 1,
          "data" : [
             {
                "name" : "Abigail",
-               "y" : 2,
-               "drilldown" : "Abigail"
+               "drilldown" : "Abigail",
+               "y" : 2
             },
             {
                "name" : "Andinus",
@@ -37,64 +33,56 @@
                "drilldown" : "Andinus"
             },
             {
-               "name" : "Ben Davies",
                "drilldown" : "Ben Davies",
-               "y" : 2
+               "y" : 2,
+               "name" : "Ben Davies"
             },
             {
-               "drilldown" : "Cheok-Yin Fung",
+               "name" : "Cheok-Yin Fung",
                "y" : 1,
-               "name" : "Cheok-Yin Fung"
+               "drilldown" : "Cheok-Yin Fung"
             },
             {
-               "name" : "James Raspass",
+               "drilldown" : "James Raspass",
                "y" : 2,
-               "drilldown" : "James Raspass"
+               "name" : "James Raspass"
             },
             {
-               "name" : "James Smith",
                "drilldown" : "James Smith",
-               "y" : 2
+               "y" : 2,
+               "name" : "James Smith"
             },
             {
-               "drilldown" : "Mark Anderson",
                "y" : 2,
+               "drilldown" : "Mark Anderson",
                "name" : "Mark Anderson"
             },
             {
-               "name" : "Roger Bell_West",
+               "drilldown" : "Peter Campbell Smith",
+               "y" : 2,
+               "name" : "Peter Campbell Smith"
+            },
+            {
+               "drilldown" : "Roger Bell_West",
                "y" : 4,
-               "drilldown" : "Roger Bell_West"
+               "name" : "Roger Bell_West"
             }
-         ],
-         "name" : "The Weekly Challenge - 133"
+         ]
       }
    ],
-   "subtitle" : {
-      "text" : "[Champions: 8] Last updated at 2021-10-05 07:53:19 GMT"
-   },
-   "tooltip" : {
-      "headerFormat" : "<span style='font-size:11px'>{series.name}</span><br/>",
-      "followPointer" : 1,
-      "pointFormat" : "<span style='color:{point.color}'>{point.name}</span>: <b>{point.y:f}</b><br/>"
-   },
-   "chart" : {
-      "type" : "column"
-   },
    "drilldown" : {
       "series" : [
          {
-            "name" : "Abigail",
+            "id" : "Abigail",
             "data" : [
                [
                   "Perl",
                   2
                ]
             ],
-            "id" : "Abigail"
+            "name" : "Abigail"
          },
          {
-            "id" : "Andinus",
             "data" : [
                [
                   "Raku",
@@ -105,6 +93,7 @@
                   1
                ]
             ],
+            "id" : "Andinus",
             "name" : "Andinus"
          },
          {
@@ -118,24 +107,24 @@
             "name" : "Ben Davies"
          },
          {
+            "name" : "Cheok-Yin Fung",
             "data" : [
                [
                   "Perl",
                   1
                ]
             ],
-            "id" : "Cheok-Yin Fung",
-            "name" : "Cheok-Yin Fung"
+            "id" : "Cheok-Yin Fung"
          },
          {
             "name" : "James Raspass",
-            "id" : "James Raspass",
             "data" : [
                [
                   "Raku",
                   2
                ]
-            ]
+            ],
+            "id" : "James Raspass"
          },
          {
             "name" : "James Smith",
@@ -148,17 +137,27 @@
             "id" : "James Smith"
          },
          {
+            "name" : "Mark Anderson",
             "id" : "Mark Anderson",
             "data" : [
                [
                   "Raku",
                   2
                ]
+            ]
+         },
+         {
+            "id" : "Peter Campbell Smith",
+            "data" : [
+               [
+                  "Perl",
+                  2
+               ]
             ],
-            "name" : "Mark Anderson"
+            "name" : "Peter Campbell Smith"
          },
          {
-            "name" : "Roger Bell_West",
+            "id" : "Roger Bell_West",
             "data" : [
                [
                   "Perl",
@@ -169,8 +168,24 @@
                   2
                ]
             ],
-            "id" : "Roger Bell_West"
+            "name" : "Roger Bell_West"
          }
       ]
+   },
+   "subtitle" : {
+      "text" : "[Champions: 9] Last updated at 2021-10-05 16:20:33 GMT"
+   },
+   "yAxis" : {
+      "title" : {
+         "text" : "Total Solutions"
+      }
+   },
+   "xAxis" : {
+      "type" : "category"
+   },
+   "tooltip" : {
+      "pointFormat" : "<span style='color:{point.color}'>{point.name}</span>: <b>{point.y:f}</b><br/>",
+      "followPointer" : 1,
+      "headerFormat" : "<span style='font-size:11px'>{series.name}</span><br/>"
    }
 }
diff --git a/stats/pwc-language-breakdown-summary.json b/stats/pwc-language-breakdown-summary.json
index 91cf85e93f..5014760b93 100644
--- a/stats/pwc-language-breakdown-summary.json
+++ b/stats/pwc-language-breakdown-summary.json
@@ -1,24 +1,27 @@
 {
+   "xAxis" : {
+      "type" : "category",
+      "labels" : {
+         "style" : {
+            "fontFamily" : "Verdana, sans-serif",
+            "fontSize" : "13px"
+         }
+      }
+   },
    "tooltip" : {
       "pointFormat" : "<b>{point.y:.0f}</b>"
    },
-   "chart" : {
-      "type" : "column"
+   "subtitle" : {
+      "text" : "Last updated at 2021-10-05 16:20:33 GMT"
+   },
+   "yAxis" : {
+      "title" : {
+         "text" : null
+      },
+      "min" : 0
    },
    "series" : [
       {
-         "dataLabels" : {
-            "align" : "right",
-            "format" : "{point.y:.0f}",
-            "rotation" : -90,
-            "enabled" : "true",
-            "style" : {
-               "fontFamily" : "Verdana, sans-serif",
-               "fontSize" : "13px"
-            },
-            "y" : 10,
-            "color" : "#FFFFFF"
-         },
          "data" : [
             [
                "Blog",
@@ -26,38 +29,35 @@
             ],
             [
                "Perl",
-               6307
+               6309
             ],
             [
                "Raku",
                3871
             ]
          ],
+         "dataLabels" : {
+            "rotation" : -90,
+            "style" : {
+               "fontSize" : "13px",
+               "fontFamily" : "Verdana, sans-serif"
+            },
+            "enabled" : "true",
+            "align" : "right",
+            "format" : "{point.y:.0f}",
+            "y" : 10,
+            "color" : "#FFFFFF"
+         },
          "name" : "Contributions"
       }
    ],
-   "subtitle" : {
-      "text" : "Last updated at 2021-10-05 07:53:18 GMT"
-   },
    "title" : {
       "text" : "The Weekly Challenge Contributions [2019 - 2021]"
    },
-   "xAxis" : {
-      "type" : "category",
-      "labels" : {
-         "style" : {
-            "fontFamily" : "Verdana, sans-serif",
-            "fontSize" : "13px"
-         }
-      }
-   },
-   "yAxis" : {
-      "min" : 0,
-      "title" : {
-         "text" : null
-      }
-   },
    "legend" : {
       "enabled" : "false"
+   },
+   "chart" : {
+      "type" : "column"
    }
 }
diff --git a/stats/pwc-language-breakdown.json b/stats/pwc-language-breakdown.json
index 586f6ddd58..108a251b8c 100644
--- a/stats/pwc-language-breakdown.json
+++ b/stats/pwc-language-breakdown.json
@@ -1,31 +1,15 @@
 {
-   "plotOptions" : {
-      "series" : {
-         "dataLabels" : {
-            "format" : "{point.y}",
-            "enabled" : 1
-         },
-         "borderWidth" : 0
-      }
-   },
-   "title" : {
-      "text" : "The Weekly Challenge Language"
-   },
-   "xAxis" : {
-      "type" : "category"
+   "subtitle" : {
+      "text" : "Click the columns to drilldown the language breakdown. Last updated at 2021-10-05 16:20:33 GMT"
    },
    "yAxis" : {
       "title" : {
          "text" : "Total Solutions"
       }
    },
-   "legend" : {
-      "enabled" : "false"
-   },
    "drilldown" : {
       "series" : [
          {
-            "name" : "001",
             "id" : "001",
             "data" : [
                [
@@ -40,7 +24,8 @@
                   "Blog",
                   11
                ]
-            ]
+            ],
+            "name" : "001"
          },
          {
             "data" : [
@@ -79,6 +64,7 @@
             ]
          },
          {
+            "id" : "004",
             "data" : [
                [
                   "Perl",
@@ -93,11 +79,10 @@
                   10
                ]
             ],
-            "id" : "004",
             "name" : "004"
          },
          {
-            "id" : "005",
+            "name" : "005",
             "data" : [
                [
                   "Perl",
@@ -112,7 +97,7 @@
                   12
                ]
             ],
-            "name" : "005"
+            "id" : "005"
          },
          {
             "id" : "006",
@@ -134,6 +119,7 @@
          },
          {
             "name" : "007",
+            "id" : "007",
             "data" : [
                [
                   "Perl",
@@ -147,11 +133,9 @@
                   "Blog",
                   10
                ]
-            ],
-            "id" : "007"
+            ]
          },
          {
-            "id" : "008",
             "data" : [
                [
                   "Perl",
@@ -166,11 +150,11 @@
                   12
                ]
             ],
+            "id" : "008",
             "name" : "008"
          },
          {
             "name" : "009",
-            "id" : "009",
             "data" : [
                [
                   "Perl",
@@ -184,11 +168,10 @@
                   "Blog",
                   13
                ]
-            ]
+            ],
+            "id" : "009"
          },
          {
-            "name" : "010",
-            "id" : "010",
             "data" : [
                [
                   "Perl",
@@ -202,10 +185,11 @@
                   "Blog",
                   11
                ]
-            ]
+            ],
+            "id" : "010",
+            "name" : "010"
          },
          {
-            "name" : "011",
             "data" : [
                [
                   "Perl",
@@ -220,10 +204,10 @@
                   10
                ]
             ],
-            "id" : "011"
+            "id" : "011",
+            "name" : "011"
          },
          {
-            "name" : "012",
             "id" : "012",
             "data" : [
                [
@@ -238,7 +222,8 @@
                   "Blog",
                   11
                ]
-            ]
+            ],
+            "name" : "012"
          },
          {
             "name" : "013",
@@ -277,6 +262,7 @@
             "name" : "014"
          },
          {
+            "id" : "015",
             "data" : [
                [
                   "Perl",
@@ -291,7 +277,6 @@
                   15
                ]
             ],
-            "id" : "015",
             "name" : "015"
          },
          {
@@ -313,7 +298,6 @@
             ]
          },
          {
-            "name" : "017",
             "id" : "017",
             "data" : [
                [
@@ -328,10 +312,12 @@
                   "Blog",
                   12
                ]
-            ]
+            ],
+            "name" : "017"
          },
          {
             "name" : "018",
+            "id" : "018",
             "data" : [
                [
                   "Perl",
@@ -345,11 +331,10 @@
                   "Blog",
                   14
                ]
-            ],
-            "id" : "018"
+            ]
          },
          {
-            "id" : "019",
+            "name" : "019",
             "data" : [
                [
                   "Perl",
@@ -364,11 +349,9 @@
                   13
                ]
             ],
-            "name" : "019"
+            "id" : "019"
          },
          {
-            "name" : "020",
-            "id" : "020",
             "data" : [
                [
                   "Perl",
@@ -382,10 +365,11 @@
                   "Blog",
                   13
                ]
-            ]
+            ],
+            "id" : "020",
+            "name" : "020"
          },
          {
-            "name" : "021",
             "id" : "021",
             "data" : [
                [
@@ -400,10 +384,10 @@
                   "Blog",
                   10
                ]
-            ]
+            ],
+            "name" : "021"
          },
          {
-            "id" : "022",
             "data" : [
                [
                   "Perl",
@@ -418,10 +402,10 @@
                   10
                ]
             ],
+            "id" : "022",
             "name" : "022"
          },
          {
-            "name" : "023",
             "id" : "023",
             "data" : [
                [
@@ -436,10 +420,11 @@
                   "Blog",
                   12
                ]
-            ]
+            ],
+            "name" : "023"
          },
          {
-            "id" : "024",
+            "name" : "024",
             "data" : [
                [
                   "Perl",
@@ -454,11 +439,9 @@
                   11
                ]
             ],
-            "name" : "024"
+            "id" : "024"
          },
          {
-            "name" : "025",
-            "id" : "025",
             "data" : [
                [
                   "Perl",
@@ -472,10 +455,13 @@
                   "Blog",
                   12
                ]
-            ]
+            ],
+            "id" : "025",
+            "name" : "025"
          },
          {
             "name" : "026",
+            "id" : "026",
             "data" : [
                [
                   "Perl",
@@ -489,8 +475,7 @@
                   "Blog",
                   10
                ]
-            ],
-            "id" : "026"
+            ]
          },
          {
             "data" : [
@@ -511,7 +496,7 @@
             "name" : "027"
          },
          {
-            "name" : "028",
+            "id" : "028",
             "data" : [
                [
                   "Perl",
@@ -526,9 +511,10 @@
                   9
                ]
             ],
-            "id" : "028"
+            "name" : "028"
          },
          {
+            "name" : "029",
             "data" : [
                [
                   "Perl",
@@ -543,11 +529,10 @@
                   12
                ]
             ],
-            "id" : "029",
-            "name" : "029"
+            "id" : "029"
          },
          {
-            "name" : "030",
+            "id" : "030",
             "data" : [
                [
                   "Perl",
@@ -562,11 +547,10 @@
                   10
                ]
             ],
-            "id" : "030"
+            "name" : "030"
          },
          {
             "name" : "031",
-            "id" : "031",
             "data" : [
                [
                   "Perl",
@@ -580,11 +564,11 @@
                   "Blog",
                   9
                ]
-            ]
+            ],
+            "id" : "031"
          },
          {
             "name" : "032",
-            "id" : "032",
             "data" : [
                [
                   "Perl",
@@ -598,9 +582,11 @@
                   "Blog",
                   10
                ]
-            ]
+            ],
+            "id" : "032"
          },
          {
+            "id" : "033",
             "data" : [
                [
                   "Perl",
@@ -615,11 +601,10 @@
                   10
                ]
             ],
-            "id" : "033",
             "name" : "033"
          },
          {
-            "id" : "034",
+            "name" : "034",
             "data" : [
                [
                   "Perl",
@@ -634,10 +619,9 @@
                   11
                ]
             ],
-            "name" : "034"
+            "id" : "034"
          },
          {
-            "id" : "035",
             "data" : [
                [
                   "Perl",
@@ -652,9 +636,11 @@
                   9
                ]
             ],
+            "id" : "035",
             "name" : "035"
          },
          {
+            "id" : "036",
             "data" : [
                [
                   "Perl",
@@ -669,11 +655,10 @@
                   11
                ]
             ],
-            "id" : "036",
             "name" : "036"
          },
          {
-            "name" : "037",
+            "id" : "037",
             "data" : [
                [
                   "Perl",
@@ -688,10 +673,10 @@
                   9
                ]
             ],
-            "id" : "037"
+            "name" : "037"
          },
          {
-            "id" : "038",
+            "name" : "038",
             "data" : [
                [
                   "Perl",
@@ -706,9 +691,10 @@
                   12
                ]
             ],
-            "name" : "038"
+            "id" : "038"
          },
          {
+            "name" : "039",
             "id" : "039",
             "data" : [
                [
@@ -723,8 +709,7 @@
                   "Blog",
                   12
                ]
-            ],
-            "name" : "039"
+            ]
          },
          {
             "id" : "040",
@@ -763,7 +748,6 @@
             "id" : "041"
          },
          {
-            "id" : "042",
             "data" : [
                [
                   "Perl",
@@ -778,6 +762,7 @@
                   11
                ]
             ],
+            "id" : "042",
             "name" : "042"
          },
          {
@@ -799,7 +784,6 @@
             ]
          },
          {
-            "id" : "044",
             "data" : [
                [
                   "Perl",
@@ -814,6 +798,7 @@
                   11
                ]
             ],
+            "id" : "044",
             "name" : "044"
          },
          {
@@ -853,7 +838,7 @@
             ]
          },
          {
-            "name" : "047",
+            "id" : "047",
             "data" : [
                [
                   "Perl",
@@ -868,7 +853,7 @@
                   10
                ]
             ],
-            "id" : "047"
+            "name" : "047"
          },
          {
             "data" : [
@@ -907,7 +892,6 @@
             "name" : "049"
          },
          {
-            "name" : "050",
             "id" : "050",
             "data" : [
                [
@@ -922,10 +906,12 @@
                   "Blog",
                   12
                ]
-            ]
+            ],
+            "name" : "050"
          },
          {
             "name" : "051",
+            "id" : "051",
             "data" : [
                [
                   "Perl",
@@ -939,11 +925,9 @@
                   "Blog",
                   11
                ]
-            ],
-            "id" : "051"
+            ]
          },
          {
-            "name" : "052",
             "data" : [
                [
                   "Perl",
@@ -958,10 +942,10 @@
                   14
                ]
             ],
-            "id" : "052"
+            "id" : "052",
+            "name" : "052"
          },
          {
-            "id" : "053",
             "data" : [
                [
                   "Perl",
@@ -976,10 +960,10 @@
                   15
                ]
             ],
+            "id" : "053",
             "name" : "053"
          },
          {
-            "name" : "054",
             "data" : [
                [
                   "Perl",
@@ -994,10 +978,10 @@
                   18
                ]
             ],
-            "id" : "054"
+            "id" : "054",
+            "name" : "054"
          },
          {
-            "name" : "055",
             "data" : [
                [
                   "Perl",
@@ -1012,11 +996,11 @@
                   14
                ]
             ],
-            "id" : "055"
+            "id" : "055",
+            "name" : "055"
          },
          {
             "name" : "056",
-            "id" : "056",
             "data" : [
                [
                   "Perl",
@@ -1030,11 +1014,10 @@
                   "Blog",
                   16
                ]
-            ]
+            ],
+            "id" : "056"
          },
          {
-            "name" : "057",
-            "id" : "057",
             "data" : [
                [
                   "Perl",
@@ -1048,7 +1031,9 @@
                   "Blog",
                   15
                ]
-            ]
+            ],
+            "id" : "057",
+            "name" : "057"
          },
          {
             "id" : "058",
@@ -1123,6 +1108,7 @@
             "name" : "061"
          },
          {
+            "id" : "062",
             "data" : [
                [
                   "Perl",
@@ -1137,12 +1123,9 @@
                   11
                ]
             ],
-            "id" : "062",
             "name" : "062"
          },
          {
-            "name" : "063",
-            "id" : "063",
             "data" : [
                [
                   "Perl",
@@ -1156,9 +1139,12 @@
                   "Blog",
                   13
                ]
-            ]
+            ],
+            "id" : "063",
+            "name" : "063"
          },
          {