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sub a{$#_?(sort{length$a<=>length$b}map{my$s=$_;my@l=grep{$s ne $_}@_;
+map{my$t=$_;my@m=grep{$t ne $_}@l;a(i($s,$t),@m)}@l}@_)[0]:pop}
sub i{($_,$t)=@_;chop$t while!s/\Q$t\E$/$_[1]/&&''ne$t;$_;}
...
print a qw(logger gerbil log analog);
print "\n";
print a qw(GATTACA ATTACA GATT AAGAT CCC);

sub i{my($s,$t)=@_;chop$t while$s!~s/\Q$t\E$/$_[1]/;$s}

sub i{($_,$t)=@_;chop$t while!s/\Q$t\E$/$_[1]/;$_}

sub assemble{$#_?(sort{length$a<=>length$b}map{my$s=$_;my@l=grep$s ne$
+_,@_;map{my($t,$u)=($s,$_);my@m=grep$u ne$_,@l;chop$u while$t!~s/\Q$u
+\E$/$_/;assemble($t,@m)}@l}@_)[0]:pop}