# Exercise 7.4.2

Show that quicksort's best-case running time is $\Omega(n\lg{n})$.

The best case happens when the partition is even, that is:

$$ T(n) = 2T(n/2) + \Theta(n) $$

Using the master method, we get the solution $\Theta(n\lg{n})$.

Show that quicksort's best-case running time is $\Omega(n\lg{n})$.

The best case happens when the partition is even, that is:

$$ T(n) = 2T(n/2) + \Theta(n) $$

Using the master method, we get the solution $\Theta(n\lg{n})$.