Apply master theorem to divide-and-conquer recurrences
Analyze the apply master theorem to divide-and-conquer recurrences.
Examples
Input:"test_input_1"
Output:"output_1"
Input:"test_input_2"
Output:"output_2"
Hints
Recall the three cases of the Master Theorem and their conditions (e.g., when \( f(n) = \Theta(n^{\log_b a}) \)).
For a recurrence of the form \( T(n) = aT(n/b) + f(n) \), determine the value of \( \log_b a \) and compare it with the growth rate of \( f(n) \).
If \( f(n) \) is polynomially larger or smaller than \( n^{\log_b a} \), apply the appropriate case of the Master Theorem to derive the asymptotic bound for \( T(n) \).
Apply master theorem to divide-and-conquer recurrences
Analyze the apply master theorem to divide-and-conquer recurrences.