Math Problems

Explore key mathematical problems commonly encountered in coding interviews.

•   01 Power of Two Check if a number is a power of two using bit manipulation or math
•   02 Largest Perimeter Triangle Determine the largest possible triangle perimeter from an array of lengths
•   03 Count Good Numbers Calculate the count of valid digit strings under given constraints
•   04 GCD using Euclidean Algorithm Find the Greatest Common Divisor of two numbers using efficient algorithms
•   05 Complex Number Multiplication Multiply two complex numbers given as strings and return the result in a+bi form

WHAT PATTERNS DO THESE COVER?
These problems target essential mathematical patterns for coding interviews:

Power of Two → Leverages bit manipulation for efficient power checks.
Largest Perimeter Triangle → Uses sorting and greedy checks for geometric constraints.
Count Good Numbers → Applies modular arithmetic and combinatorial counting.
GCD using Euclidean Algorithm → Implements the classic Euclidean algorithm for finding GCD efficiently.
Complex Number Multiplication → Applies algebraic rules to multiply complex numbers efficiently.

Together, they build skills in bit manipulation, greedy algorithms, modular arithmetic, and fundamental number theory for solving math-based coding challenges.