Karatsuba vs. Schoolbook Multiplication Complexity - Quant Trader Interview Question
Difficulty: Hard
Category: Algorithms & Data Structures
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Topics: algorithms, time-complexity, karatsuba, multiplication
Problem Description
You are tasked with designing a high-frequency trading algorithm that requires multiplying large integers (representing, for example, order sizes or price levels). You need to choose an efficient multiplication algorithm. Consider multiplying two n-digit numbers. What is the time complexity of Karatsuba multiplication compared to the standard schoolbook multiplication algorithm?
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