hdoj 5666 Segment(欧拉函数)

Segment

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)
Total Submission(s): 1012    Accepted Submission(s): 368

Problem Description

    Silen August does not like to talk with others.She like to find some interesting problems.

    Today she finds an interesting problem.She finds a segment x+y=q.The segment intersect the axis and produce a delta.She links some line between (0,0) and the node on the segment whose coordinate are integers.

    Please calculate how many nodes are in the delta and not on the segments,output answer mod P.

 

 

Input

    First line has a number,T,means testcase number.

    Then,each line has two integers q,P.

    q is a prime number,and 2≤q≤1018,1≤P≤1018,1≤T≤10.

 

 

Output

    Output 1 number to each testcase,answer mod P.

 

 

Sample Input

1 2 107

 

 

Sample Output

0

 

 

Source

BestCoder Round #80

 

 

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n*phi(n)/2;  n为质数 所以phi(n)= n-1;  推得结果为n*phi(n)/2-phi(n)  --> (n-2)*phi(n)/2; --> (n-2)*(n-1)/2;