#! perl -slw use strict; use Time::HiRes qw[ time ]; my $start = time; my @res; for ( 1 .. 1e6 ) { my $c = 0; my $n = $_; while( $n > 1 ) { ++$c; $n = $n&1 ? 3*$n+1 : $n/2; if( defined $res[ $n ] ) { $c += $res[ $n ]; last; } } $res[ $_ ] = $c; } printf "Took %.6f seconds\n", time() - $start; my( $n, $i ) = 0; $n < $res[ $_ ] and ( $n, $i ) = ( $res[ $_ ], $_ ) for 1 .. $#res; print "longest sequence is $n steps starting with $i"; __END__ c:\test>collatz.pl Took 2.000000 seconds longest sequence is 524 steps starting with 837799