CodeForces 631A：Interview【位运算】

Interview

Time Limit:1000MS     Memory Limit:262144KB     64bit IO Format:%I64d & %I64u

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Description

Blake 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 ≤ 10⁹).

The third line contains n integers b_i (0 ≤ b_i ≤ 10⁹).

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.

Sample Input

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

Hint

Bitwise OR of two non-negative integers a and b is the number c = aORb, 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 3OR 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 andr = 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.

一看是位运算的，我果断除2，判断一下再除，再判断。。。。。然后果断超时

AC-code：

#include<cstdio>
#include<cmath>
#include<algorithm>
using namespace std;
int main()
{
	int t,i,j,a[1005],b[1005];
	scanf("%d",&t);
	scanf("%d",&a[0]);
	for(i=1;i<t;i++)
	{
		scanf("%d",&a[i]);
		a[0]|=a[i];
	}
	scanf("%d",&b[0]);
	for(j=1;j<t;j++)
	{
		scanf("%d",&b[j]);
		b[0]|=b[j];
	}
	printf("%d\n",a[0]+b[0]);
	return 0;
}