Q $7$: Consider the following algorithm

ALGORITHM Mystery $(n)$

Slarr$0$

for ilarr$1$ to $n$ do

Slarrs$+i**i$

Return $S$

$($a$)$ What does the algorithm computes?

$($b$)$ Write the running time for each line, and derive the exact time?

$($c$)$ What is the basic operation?

$($d$)$ What is the efficiency class of this algorithm?

$($e$)$ Can we do better algorithm?