Codeforces Round 344 (Div. 2) |
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Finished |

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brute force

implementation

*900

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A. Interview

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputBlake is a CEO of a large company called "Blake Technologies". He loves his company very much and he thinks that his company should be the best. That is why every candidate needs to pass through the interview that consists of the following problem.

We define function *f*(*x*, *l*, *r*) as a bitwise OR of integers *x*_{l}, *x*_{l + 1}, ..., *x*_{r}, where *x*_{i} is the *i*-th element of the array *x*. You are given two arrays *a* and *b* of length *n*. You need to determine the maximum value of sum *f*(*a*, *l*, *r*) + *f*(*b*, *l*, *r*) among all possible 1 ≤ *l* ≤ *r* ≤ *n*.

Input

The first line of the input contains a single integer *n* (1 ≤ *n* ≤ 1000) — the length of the arrays.

The second line contains *n* integers *a*_{i} (0 ≤ *a*_{i} ≤ 10^{9}).

The third line contains *n* integers *b*_{i} (0 ≤ *b*_{i} ≤ 10^{9}).

Output

Print a single integer — the maximum value of sum *f*(*a*, *l*, *r*) + *f*(*b*, *l*, *r*) among all possible 1 ≤ *l* ≤ *r* ≤ *n*.

Examples

Input

5

1 2 4 3 2

2 3 3 12 1

Output

22

Input

10

13 2 7 11 8 4 9 8 5 1

5 7 18 9 2 3 0 11 8 6

Output

46

Note

Bitwise OR of two non-negative integers *a* and *b* is the number *c* = *a* *OR* *b*, such that each of its digits in binary notation is 1 if and only if at least one of *a* or *b* have 1 in the corresponding position in binary notation.

In the first sample, one of the optimal answers is *l* = 2 and *r* = 4, because *f*(*a*, 2, 4) + *f*(*b*, 2, 4) = (2 *OR* 4 *OR* 3) + (3 *OR* 3 *OR* 12) = 7 + 15 = 22. Other ways to get maximum value is to choose *l* = 1 and *r* = 4, *l* = 1 and *r* = 5, *l* = 2 and *r* = 4, *l* = 2 and *r* = 5, *l* = 3 and *r* = 4, or *l* = 3 and *r* = 5.

In the second sample, the maximum value is obtained for *l* = 1 and *r* = 9.

Codeforces (c) Copyright 2010-2023 Mike Mirzayanov

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