Next: Up: Previous:

Master

a=2, b=2, log_b a = 1, f(n) = n³

f(n) = $\Omega(n^{1 + 2})$ = $\Omega(n^3)$ , $\epsilon$ = 2

2f(n/2) $\leq$ cf(n) for c<1?

2 (n/2)³ $\leq$ cn³

1/4 n³ $\leq$ cn³, 1/4 $\leq$ c < 1, Case 3

T(n) = $\Theta(n^3)$

Next: Up: Previous: