Question

what theorem is crucial for analyzing the efficiency of many divide - and - conquer algorithms?
select one
a. the master theorem
b. the fundamental theorem
c. the central limit theorem
d. the binomial theorem

Explanation:

The master theorem is used to analyze the time complexity of divide - and - conquer algorithms. It provides a way to classify recurrence relations that arise from such algorithms. The central limit theorem is about the distribution of sample means. The fundamental theorem is a broad term (e.g., fundamental theorem of calculus). The binomial theorem is about expanding binomial expressions.

Answer:

A. The master theorem