Consider the following finite state machine $($FSM$),$ and the assumption that the initial and exit states must

be $q_0$ for it to remain in a working state.

True or False: the state machine can take the input string $011001$ and still end in the proper

exit state.

Select the correct response:

True

FalseWhat is the time complexity of the following:

let $10000$

let $a=0$

for $($int $j=n$;$j>0$;$-ja=0a=a+i+j(i++j)O(n^2)O(n+k)O(logn)O(1)O(n^3)O(n)i=0$;$i$