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Re: Puzzle Time

by Athanasius (Prior)
on Dec 23, 2012 at 03:39 UTC ( #1010071=note: print w/ replies, xml ) Need Help??

in reply to Puzzle Time

First, some assumptions:

  1. Numbers means natural numbers
  2. Digits means digits in the decimal representation
  3. Divisible by a digit means divisible without remainder
  4. The digit 0 is excluded, since division by 0 is undefined

There are 9 different digits allowed, and any number having more than 9 digits will necessarily have some digits repeated. So, the upper bound is 987,654,321.

#! perl use Modern::Perl; my $count = 0; OUTER: for my $n (1 .. 987_654_321) { my %digits; ++$digits{$_} for split //, $n; for (keys %digits) { next OUTER if ($_ == 0) || ($digits{$_} > 1) || ($n % $_); } printf "#%d is %d\n", ++$count, $n; }

Hope that helps,

Athanasius <°(((><contra mundum Iustus alius egestas vitae, eros Piratica,

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