CF734F.Anton and School

Anton goes to school, his favorite lessons are arraystudying. He usually solves all the tasks pretty fast, but this time the teacher gave him a complicated one: given two arrays $b$ and $c$ of length $n$ , find array $a$ , such that:

where $a and b$ means bitwise AND, while $a or b$ means bitwise OR.

Usually Anton is good in arraystudying, but this problem is too hard, so Anton asks you to help.

The first line of the input contains a single integers $n$ ( $1<=n<=200000$ ) — the size of arrays $b$ and $c$ .

The second line contains $n$ integers $b_{i}$ ( $0<=b_{i}<=10^{9}$ ) — elements of the array $b$ .

Third line contains $n$ integers $c_{i}$ ( $0<=c_{i}<=10^{9}$ ) — elements of the array $c$ .

If there is no solution, print $-1$ .

Otherwise, the only line of the output should contain $n$ non-negative integers $a_{i}$ — elements of the array $a$ . If there are multiple possible solutions, you may print any of them.