$n=<>;
@s=<>=~/\d+/g;

sub f{
    my($n,$k)=@_;
    return $d{$n,$k} if $d{$n,$k};
    return $d{$n,$k}=$k+1 if $n<1;
    return $d{$n,$k}=f($n-1,$k)+1 if $k<=$s[$n-1];
    my $b=1e99;
    for(0..$k/2){
	my $t=f($n,$_)+f($n,$k-$_-1);
	$b=$t if $b>$t;
    }
    return $d{$n,$k}=$b;
}

for$k(0..$s[$n]){
    print f($n,$k),$k<$s[$n]?$":$/;
}