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-rwxr-xr-xchallenge-141/jo-37/perl/ch-1.pl80
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diff --git a/challenge-141/jo-37/perl/ch-1.pl b/challenge-141/jo-37/perl/ch-1.pl
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+#!/usr/bin/perl -s
+
+use v5.16;
+use Test2::V0;
+use Math::Prime::Util 'divisor_sum';
+use Coro::Generator;
+use experimental 'signatures';
+
+our ($tests, $examples, $count);
+$count ||= 8;
+
+run_tests() if $tests || $examples; # does not return
+
+die <<EOS unless @ARGV;
+usage: $0 [-examples] [-tests] [-count=C] [N]
+
+-examples
+ run the examples from the challenge
+
+-tests
+ run some tests
+
+-count=C
+ Take C as the number of divisors. Default: 8
+
+N
+ Find the first N numbers having exactly C divisors.
+
+EOS
+
+
+### Input and Output
+
+main: {
+ my $gen_num_div = gen_num_div($count);
+ say $gen_num_div->() for 1 .. shift;
+}
+
+
+### Implementation
+
+# Build a generator for numbers having exactly C divisors. Though this
+# my be accomplished easily by just counting the divisors, the task
+# itself seems to have very interesting aspects. At first glance the
+# sequences for prime numbers C seem to be the primes to the power of
+# C - 1. Sadly, I don't have time to investigate this in detail.
+
+sub gen_num_div ($c) {
+ generator {
+ for (my $n = 1;; $n++) {
+ yield $n if divisor_sum($n, 0) == $c;
+ }
+ }
+}
+
+
+### Examples and tests
+
+sub run_tests {
+ SKIP: {
+ skip "examples" unless $examples;
+ is gen_num_div(8)->(), 24, 'example 1'
+
+ }
+
+ SKIP: {
+ skip "tests" unless $tests;
+
+ my $gen_num_div_8 = gen_num_div(8);
+ $gen_num_div_8->() for 1 .. 50;
+ is $gen_num_div_8->(), 318, 'see http://oeis.org/A030626';
+
+ my $gen_num_div_6 = gen_num_div(6);
+ $gen_num_div_6->() for 1 .. 51;
+ is $gen_num_div_6->(), 412, 'see http://oeis.org/A030515';
+ }
+
+ done_testing;
+ exit;
+}