<>=~/ /;$n=$`/2|0;$k=1;@j=@k=[0,0];while($n--){$m=<>;map{push@j,[$_->[0]+$m,$_->[1]|$k]}@j;$k*=2;}while($m=<>){map{push@k,[$_->[0]+$m,$_->[1]|$k]}@k;$k*=2;}push@{$k{$_->[0]}},$_->[1]for@k;for$a(@j){push@r,$_|$a->[1]for@{$k{$'-$a->[0]}}}for$r(sort{$c=$a;$d=$b;$c>>=1,$d>>=1until(($c^$d)&1);($d&1)<=>($c&1)}@r){print join(" ",grep{($r>>($_-1))&1}1..32),$/;}