### comment on

 Need Help??

I might have accidentally broken my previous post, so I just post the final results here. Not because my solutions are faster (tux_a_fp is sloooooow), but as they show TIMTOWTDI

```use Algorithm::FastPermute;

sub tux_a_fp {
my (\$length, \$ones) = @_;
my @l = ((0) x (\$length - \$ones), (1) x \$ones);
my %seen;
permute { \$seen{join "" => @l}++ } @l;
[ keys %seen ];
}

sub tux_for {
my (\$length, \$ones) = @_;
my \$s1 = "1" x \$ones;
my \$s0 = "0" x (\$length - \$ones);
[   map  { substr unpack ("b*", \$_), 0, \$length }
grep { \$ones == unpack "%32b*" => \$_ }
map  { pack "L<", \$_ }
oct "0b\$s1" .. oct "0b\$s1\$s0"
];
}

sub tux_tr {
my (\$length, \$ones) = @_;
my \$s1 = "1" x \$ones;
my \$s0 = "0" x (\$length - \$ones);
[   grep { \$ones == tr/1/1/ }
map  { substr unpack ("b*", pack "L<",\$_), 0, \$length }
oct "0b\$s1" .. oct "0b\$s1\$s0"
];
}

update: another variation on recursion:

```sub tux_recur {
my (\$length, \$ones) = @_;
\$length          or  return [];
\$ones            or  return [ "0" x \$length ];
\$ones == \$length and return [ "1" x \$length ];
[ ( map { "0\$_" } @{tux_recur (\$length - 1, \$ones    )} ),
( map { "1\$_" } @{tux_recur (\$length - 1, \$ones - 1)} ),
];
}

On my box ends between Eily and tybalt89. GrandFather is still the fastest:

```Discipulus  0.103/s
tux_a_fp     1.43/s
choroba      1496/s
tybalt89_re  1558/s
tux_tr       1777/s
tux_for      2807/s
johngg       2828/s
Eily         2851/s
tux_recur    2889/s
tybalt89     3654/s
salva        4187/s
Eily_LanX    5110/s
GrandFather  6119/s

Enjoy, Have FUN! H.Merijn

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