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Difficulty: Hard
Category: Algorithms & Data Structures
Practice quant interview questions from top firms including Jane Street, Citadel, Two Sigma, DE Shaw, and other leading quantitative finance companies.
Topics: algorithms, time-complexity, karatsuba, multiplication
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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