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Next: Example - Wrong Way Up: l2 Previous: Example: Factorial

Example - Right Way

T(n) = T(n-1) + $\Theta(1)$
= $\Theta(1)$ + [$\Theta(1)$ + T(n-2)]
= $\Theta(1)$ + $\Theta(1)$ + [$\Theta(1)$ + T(n-3)]
Terminates when n - i = 0, or i = n.
= \(\sum_{i=0}^{n-1} \Theta(1) \;+\; T(0)\)
= \(\Theta(\sum_{i=0}^{n-1} 1)\) + T(0)
= \(\Theta(n)\) + T(0)


next up previous
Next: Example - Wrong Way Up: l2 Previous: Example: Factorial