A complete binary tree of N elements uses array positions 1 to N. Suppose we try to use an array representation of a binary tree that is not complete. Determine how large the array must be for the following:
a. A binary tree that has two extra levels (that is, it is very slightly unbalanced)
b. A binary tree that has a deepest node at depth 2 logN
c. A binary tree that has a deepest node at depth 4.1 logN
d. The worst-case binary tree