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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
199093 changed files with 3378972 additions and 0 deletions

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#!/usr/bin/perl
use warnings;
use strict;
use feature qw(say);
sub fangs {
my $vampire = shift;
my $length = length 0 + $vampire;
return if $length % 2;
my $fang_length = $length / 2;
my $from = '1' . '0' x ($fang_length - 1);
my $to = '9' x $fang_length;
my $sorted = join q(), sort split //, $vampire;
my @fangs;
for my $f1 ($from .. 1 + sqrt $vampire) {
next if $vampire % $f1;
my $f2 = $vampire / $f1;
next if $sorted ne join q(), sort split //, $f1 . $f2;
next if 2 == grep '0' eq substr($_, -1 , 1), $f1, $f2; # Needed for the 26th number.
push @fangs, [$f1, $f2];
}
return @fangs;
}
my $count = 0;
my $i = 9;
while ($count < 25) {
$i++;
my @f = fangs($i);
$count++, say join ' ', "$count. $i:", map "[@$_]", @f if @f;
}
say join ' ', $_, map "[@$_]", fangs($_) for 16758243290880, 24959017348650, 14593825548650;

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use ntheory qw(sqrtint logint divisors);
sub is_vampire {
my ($n) = @_;
return if (length($n) % 2 or $n < 0);
my $l1 = 10**logint(sqrtint($n), 10);
my $l2 = sqrtint($n);
my $s = join('', sort split(//, $n));
my @fangs;
foreach my $d (divisors($n)) {
$d < $l1 and next;
$d > $l2 and last;
my $t = $n / $d;
next if ($d % 10 == 0 and $t % 10 == 0);
next if (join('', sort split(//, "$d$t")) ne $s);
push @fangs, [$d, $t];
}
return @fangs;
}
print "First 25 Vampire Numbers:\n";
for (my ($n, $i) = (1, 1) ; $i <= 25 ; ++$n) {
if (my @fangs = is_vampire($n)) {
printf("%2d. %6s : %s\n", $i++, $n, join(' ', map { "[@$_]" } @fangs));
}
}
print "\nIndividual tests:\n";
foreach my $n (16758243290880, 24959017348650, 14593825548650) {
my @fangs = is_vampire($n);
print("$n: ", (@fangs ? join(' ', map { "[@$_]" } @fangs)
: "is not a vampire number"), "\n");
}