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Modular Equation CodeChef May Long Challenge 2021 Soution - AskTheCode

Team ATC

Updated: May 12, 2021

CodeChef May Long Challenge Solution | Modular Equation (MODEQ) solution | AskTheCode

 

Problem:

Given integers N and M, find the number of ordered pairs (a,b) such that 1≤a<bN and ((Mmoda)modb) = ((Mmodb)moda).

 

Input:

  • The first line contains an integer T, the number of test cases. Then the test cases follow.

  • The only line of each test case contains two integers N, M.

 

Output:

For each testcase, output in a single line the answer to the problem.

 

Sample Input:

3
3 5
3 6
3 10
 

Sample Output:

2
3
2
 

Explanation:

Test Case 1: The valid pairs are {(1,2),(1,3)}.

Test Case 2: The valid pairs are {(1,2),(1,3),(2,3)}.

Test Case 3: The valid pairs are {(1,2),(1,3)}.

 

Code:

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