Computer Mathematics Program to Multiply Mod M with Explanation
Computer Mathematics
Hard
Modular Arithmetic
31 views
1 min read
88 words
This problem helps you practice core Computer Mathematics fundamentals in a practical way. It builds intuition around mod, multiply, use. Let’s break it down step by step so you can implement it confidently.
Problem Statement
Compute (a*b) mod m for up to 10^18 (use bigint idea).
Input Format
Three integers a b m.
Output Format
One integer.
Constraints
m>0
Code Solution
This explanation is written for learning purposes and to help beginners understand the concept clearly.
Use repeated doubling (binary multiplication): result=0; while b>0 if bit set add a; a=(a*2)%m; b=floor(b/2).
Output Example
Input:
1000000000000 1000000000000 97
Common Mistakes
- Misreading input/output format.
- Not handling constraints and edge cases.
- Off-by-one errors in loops.
- Forgetting to reset variables between test cases (if any).
Solution Guide
Problem
Compute (a*b) mod m for up to 10^18 (use bigint idea).
Input / Output
Input
Three integers a b m.
Examples
Input:
1000000000000 1000000000000 97
Details
Common Mistakes
- Misreading input/output format.
- Not handling constraints and edge cases.
- Off-by-one errors in loops.
- Forgetting to reset variables between test cases (if any).
Difficulty
Hard
Computer Mathematics
Official Solution
Use repeated doubling (binary multiplication): result=0; while b>0 if bit set add a; a=(a*2)%m; b=floor(b/2).
Solutions (0)
No solutions submitted yet. Be the first!
