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hdu 5344 MZL's xor(数学之异或)

时间:2015-09-10 22:25:35      阅读:345      评论:0      收藏:0      [点我收藏+]
Problem Description
 
 
MZL loves xor very much.Now he gets an array A.The length of A is n.He wants to know the xor of all (Ai+Aj)(1≤i,j≤n)
The xor of an array B is defined as B1 xor B2...xor Bn

 

 

Input
Multiple test cases, the first line contains an integer T(no more than 20), indicating the number of cases.
Each test case contains four integers:n,m,z,l
A1=0,Ai=(Ai−1∗m+z) mod l
1≤m,z,l≤5105,n=5105

 


 

 

Output
For every test.print the answer.

 

 

 

Sample Input
2
3 5 5 7
6 8 8 9

 

 

 

Sample Output
14 
16
 

 

Source
 

 找到了规律就好办了,发现对称性,相同的数异或后等于0,所以最后剩下自身*2来异或,注意要用long long

技术分享
 1 #include<iostream>
 2 #include<cstdio>
 3 #include<cstring>
 4 #include<algorithm>
 5 #include<queue>
 6 #include<cmath>
 7 #include<stdlib.h>
 8 #include<map>
 9 using namespace std;
10 #define ll long long 
11 #define N 600000
12 ll n,m,z,l;
13 ll a[N];
14 int main()
15 {
16     int t;
17     scanf("%d",&t);
18     while(t--){
19         scanf("%I64d%I64d%I64d%I64d",&n,&m,&z,&l);
20         a[1]=0;
21         for(int i=2;i<=n;i++){
22             a[i]=(a[i-1]*m+z)%l;
23         }
24         ll ans=0;
25         for(int i=1;i<=n;i++){
26             ans=ans^(a[i]+a[i]);
27         }
28         printf("%I64d\n",ans);
29     }
30     return 0;
31 }
View Code

 

hdu 5344 MZL's xor(数学之异或)

原文:http://www.cnblogs.com/UniqueColor/p/4799171.html

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