PART $1-$ Observing the loops $(3+3$ pts$)$

Find the Big$-$ notations for the following pseudocode snippets with regard to $n($the size of

data$).$ Please note, you must show us how to find both the upper bound and the lower bound, or

you will get zero points. You may also use the l'Hopital's trick for your convenience.

A$.$

$//$ Assuming $n$ is always larger than $10$

for ;$(j=10$;$j\frac{?}{\frac{?}{?}}$

code block that takes a constant amount $of$ runtime

$\}$

$(k=0$;$k$

for $(j=10$;$j\frac{?}{\frac{?}{?}}$

code block that takes a constant amount $of$ runtime

$\}$

$\}$

$B.$

$k=1$;

$do\{$

$j=1$;

$do\{\frac{?}{\frac{?}{?}}$

code block that takes a constant amount $of$ runtime

$j=j**3$;

$\}$ until continue the loop

$k=k+1$;

$\}$ until $(kn)$ ;