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This is a handwriting assignment. You don’t have to write by hand, but you do ha
This is a handwriting assignment. You don’t have to write by hand, but you do have to explain the problem. You can’t just give the code. All questions refer to pdf documents and are completed according to the assignment requirements.
(a) [4 points] Draw the binary tree representation of the following arithmetic
expression: (((5 + 2) (2 1)) ((2+9)+((7 2) 1)) 8)
(b) [6 points] Draw a binary tree T that simultaneously satisfies the following:
(i) Each internal node of T stores a single character.
(ii) A preorder traversal of T yields EXAMFUN.
(iii) An inorder traversal of T yields MAFXUEN
Given a binary tree:
(a) [10 points] Designanefficientrecursive algorithm COUNTNODES(Nodecurr)
to count the number of nodes in the tree.
(b) [10 points] Designanefficientrecursive algorithm COUNTLEAFNODES(Node
curr) to count the number of leaf nodes in the tree.
(c) [10 points] Designanefficientrecursive algorithm COUNTNONLEAFNODES(Node
curr) to count the number nonleaf of nodes in the tree.
(d) [10 points] Design an efficient recursive algorithm FINDHEIGHT(Node curr)
to find the height of the tree.
(e) [10 points] Designanefficientrecursive algorithm ISBINARYSEARCHTREE(Node
curr) to check if the tree is a binary search tree.
(f) [10 points] Design an efficient algorithm to check if the array representation
of a binary tree ISBINARYSEARCHTREE(A[1 n]) represents a binary search
tree.
Given a binary search tree:
(a) [10 points] Designanefficientrecursive algorithm FINDMINIMUMNODE(Node
curr) to find the node with the minimum key in the tree.
(b) [20 points] Designanefficientrecursive algorithm PRINTELEMENTSINRANGE(Node
curr, [ab]) to print all the elements in the tree that are in the range
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