hdu 5391 Zball in Tina Town 威尔逊定理 数学

时间:2023-03-08 16:30:41

Zball in Tina Town

Time Limit: 3000/1500 MS (Java/Others)    Memory Limit: 262144/262144 K (Java/Others)

Problem Description
Tina Town is a friendly place. People there care about each other.

Tina has a ball called zball. Zball is magic. It grows larger every day. On the first day, it becomes 1 time as large as its original size. On the second day,it will become 2 times as large as the size on the first day. On the n-th day,it will become n times as large as the size on the (n-1)-th day. Tina want to know its size on the (n-1)-th day modulo n.

Input
The first line of input contains an integer T, representing the number of cases.

The following T lines, each line contains an integer n, according to the description.
T≤105,2≤n≤109

Output
For each test case, output an integer representing the answer.
Sample Input
2
3
10
Sample Output
2
0
Source
 思路:当数为素数时,威尔逊;
    当数为非素数,4输出2;
          别的输出0;
#include<bits/stdc++.h>
using namespace std;
#define ll __int64
#define esp 0.00000000001
const int N=1e3+,M=1e6+,inf=1e9+,mod=;
int prime(int n)
{
if(n<=)
return ;
if(n==)
return ;
if(n%==)
return ;
int k, upperBound=n/;
for(k=; k<=upperBound; k+=)
{
upperBound=n/k;
if(n%k==)
return ;
}
return ;
}
int main()
{
int x,y,z,i,t;
int T;
scanf("%d",&T);
while(T--)
{
scanf("%d",&x);
if(x==)
printf("2\n");
else if(prime(x))
printf("%d\n",x-);
else
printf("0\n");
}
return ;
}