MZL's xor
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/65536 K (Java/Others)
Total Submission(s): 911 Accepted Submission(s): 589
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
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≤5∗105,n=5∗105
Each test case contains four integers:n,m,z,l
A1=0,Ai=(Ai−1∗m+z) mod l
1≤m,z,l≤5∗105,n=5∗105
Output
For every test.print the answer.
Sample Input
2
3 5 5 7
6 8 8 9
Sample Output
14
16
Author
SXYZ
Source
AxorA=0 Axor0=A
i!=j时（Ai+Aj）xor（Ai+Aj)=0,剩下(A1+A1)xor(A2+A2)xor...xor(An+An),而Ai=(Ai−1∗m+z) mod l是产生随机数的函数，在一定长度下会出现循环,循环部分又可以约掉
1 #include<cstdio> 2 #include<cstring> 3 bool b[500005]; 4 int a[500005]; 5 int main() 6 { 7 long long z, m, l; 8 int n, T; 9 scanf("%d", &T); 10 while (T--) 11 { 12 scanf("%d%lld%lld%lld", &n, &m, &z, &l); 13 int j, f, L, i; 14 memset(b, 0, sizeof(b)); 15 L = 0; 16 b[0] = true; 17 a[0] = 0; 18 for (j = 1;; j++) 19 { 20 L = (m*L + z) % l;//随机数产生函数，会有循环出现 21 if (b[L] == true) break; 22 b[L] = true; 23 a[j] = L; 24 } 25 int sum = 0; 26 for (f = 0; f < j; f++) 27 { 28 if (a[f] == L) break; 29 sum = sum ^ (a[f] << 1); 30 } 31 int cycle = j - f; 32 int div = (n - f) / cycle; 33 int mod = (n - f) % cycle; 34 if (div & 1) 35 { 36 for (i = f + mod; i < j; i++) 37 sum = sum ^ (a[i] << 1); 38 } 39 else 40 { 41 for (i = f; i < f + mod; i++) 42 sum = sum ^ (a[i] << 1); 43 } 44 printf("%d ", sum); 45 } 46 }