are given three positive (more prominent than nothing) integers c, d and x.    You need to track down the number of sets of positive integers (a,b) with the end goal that balance c⋅lcm(a,b)−d⋅gcd(a,b)=x holds. Where lcm(a,b) is the most un-normal various of an and b and gcd(a,b) is the best normal divisor of an and b.    Input

C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter4: Selection Structures
Section: Chapter Questions
Problem 14PP
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 You are given three positive (more prominent than nothing) integers c, d and x. 

 

You need to track down the number of sets of positive integers (a,b) with the end goal that balance c⋅lcm(a,b)−d⋅gcd(a,b)=x holds. Where lcm(a,b) is the most un-normal various of an and b and gcd(a,b) is the best normal divisor of an and b. 

 

Input 

 

The primary line contains one integer t (1≤t≤104) — the number of experiments. 

 

Each experiment comprises of one line containing three integer c, d and x (1≤c,d,x≤107). 

 

Output 

 

For each experiment, print one integer — the number of sets (a,b) to such an extent that the above uniformity holds.

 

 

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ISBN:
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