($n,@b)=<>;
@a=1;
for(0..9){
	$m=1e19;$o=-1e19;
	for(0..$#b){
		$v=$a[$_+1]=($b[$_]-$a[$_])*(-1)**$_;
		if($_%4==1||$_%4==2){
			$v=1e18+1-$v;
		}
		$m=$v if $m>$v;
		$o=$v if $o<$v;
	}
	if($m<1){
		$a[0]+=1-$m;
	}elsif($o>1e18){
		$a[0]-=$o-1e18;
	}else{
		print join$/,$n+1,@a;
		exit;
	}
}
print -1;