CF-631-.Interview-水题

最新推荐文章于 2023-02-25 22:41:55 发布

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最新推荐文章于 2023-02-25 22:41:55 发布

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本文介绍了一道关于位运算的编程题目，通过分析得知，两个数进行位运算的结果不会减少，因此最大值只需将所有位运算的和加起来即可。

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

Status

Practice

CodeForces 631A
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 xl, xl + 1, …, xr, where xi 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 ai (0 ≤ ai ≤ 109).
The third line contains n integers bi (0 ≤ bi ≤ 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.

其实水题一道，但是由于开始并没搞懂位运算的性质没读懂题/(ㄒoㄒ)/~~
两个数进行位运算的结果是不会减少的，所以最大的值只需要将所有位运算的和加起来即可；

using namespace std;  
typedef long long LL;
int a[1005],b[1005];
int n;
int suma=0;
int sumb=0;
int main() //二进制或运算只增不减 
{
    cin>>n;
    for(int i=0;i<n;i++)
    {
        cin>>a[i];
    }
    for(int i=0;i<n;i++)
    {
        cin>>b[i];
    }
    for(int i=0;i<n;i++)
    {
        suma=suma|a[i];
        sumb=sumb|b[i];
    }
    cout<<suma+sumb<<endl;
    return 0;   
}