hdu5391 Zball in Tina Town

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

这题求的是(n-1)!%n,根据打表发现，当n是4的时候输出2，其他如果是素数的话就输出n-1，否则输出0.用了线性素数筛法，时间少了很多。

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