use strict; use warnings; my @list = (0, 2, 3); for my $w (1, 2, 3, 4, 7, 8) { print "count = $w\n"; make_sets1($w, ""); } sub make_sets1 { my ($weight, $temp_result) = @_; print "$temp_result\n" and return if $weight <= 0; for my $item (@list) { make_sets1( $weight -1, "$temp_result$item, "); } } #### $ time perl multisets.pl count = 1 0, 2, 3, count = 2 0, 0, 0, 2, 0, 3, 2, 0, 2, 2, 2, 3, 3, 0, 3, 2, 3, 3, count = 3 0, 0, 0, 0, 0, 2, 0, 0, 3, 0, 2, 0, 0, 2, 2, 0, 2, 3, 0, 3, 0, 0, 3, 2, 0, 3, 3, 2, 0, 0, 2, 0, 2, 2, 0, 3, 2, 2, 0, 2, 2, 2, 2, 2, 3, 2, 3, 0, 2, 3, 2, 2, 3, 3, 3, 0, 0, 3, 0, 2, 3, 0, 3, 3, 2, 0, 3, 2, 2, 3, 2, 3, 3, 3, 0, 3, 3, 2, 3, 3, 3, count = 4 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 3, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 3, 0, 0, 3, 0, 0, 0, 3, 2, 0, 0, 3, 3, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 3, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 3, 0, 2, 3, 0, 0, 2, 3, 2, 0, 2, 3, 3, 0, 3, 0, 0, 0, 3, 0, 2, 0, 3, 0, 3, 0, 3, 2, 0, 0, 3, 2, 2, 0, 3, 2, 3, 0, 3, 3, 0, 0, 3, 3, 2, 0, 3, 3, 3, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 3, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 3, 2, 0, 3, 0, 2, 0, 3, 2, 2, 0, 3, 3, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 3, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 0, 2, 2, 3, 2, 2, 2, 3, 3, 2, 3, 0, 0, 2, 3, 0, 2, 2, 3, 0, 3, 2, 3, 2, 0, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 3, 0, 2, 3, 3, 2, 2, 3, 3, 3, 3, 0, 0, 0, 3, 0, 0, 2, 3, 0, 0, 3, 3, 0, 2, 0, 3, 0, 2, 2, 3, 0, 2, 3, 3, 0, 3, 0, 3, 0, 3, 2, 3, 0, 3, 3, 3, 2, 0, 0, 3, 2, 0, 2, 3, 2, 0, 3, 3, 2, 2, 0, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 3, 0, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 0, 0, 3, 3, 0, 2, 3, 3, 0, 3, 3, 3, 2, 0, 3, 3, 2, 2, 3, 3, 2, 3, 3, 3, 3, 0, 3, 3, 3, 2, 3, 3, 3, 3, count = 7 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 3, 3, . . . (abbreviated) 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, real 0m0.141s user 0m0.046s sys 0m0.031s #### $ time perl multisets.pl > /dev/null real 0m0.057s user 0m0.015s sys 0m0.015s #### count = 3 0, 0, 0, 0, 0, 2, 0, 0, 3, 0, 2, 0, 0, 2, 2, 0, 2, 3, 0, 3, 0, 0, 3, 2, 0, 3, 3, 2, 0, 0, 2, 0, 2, 2, 0, 3, 2, 2, 0, 2, 2, 2, 2, 2, 3, 2, 3, 0, 2, 3, 2, 2, 3, 3, 3, 0, 0, 3, 0, 2, 3, 0, 3, 3, 2, 0, 3, 2, 2, 3, 2, 3, 3, 3, 0, 3, 3, 2, 3, 3, 3, #### count=3 3,0,0 3,0,2 3,0,3 3,2,3 3,2,2 3,3,3 0,0,2 0,0,0 0,2,2 2,2,2