$1)$ Write C$++$ code to check whether an array represents a maxheap.

bool isMaxheap$($b$[],$ int n$)$; $//$ return true if the array b$,$ of size n$,$ represents a maxheap. Use a loop.

$2)$ In case the array is a maxheap, how many iterations does the loop from your code in Question $1$ perform for an array of size $15?$ Justify your answer.

$3)$ In case the array is a maxheap, give a formula for the number of iterations your loop performs for an array of size n$.$ Justify your answer.