For this assignment you’ll be implementing several tree-based algorithms that we saw in class. Specifically you’re editing only “tree.c”.

INSTRUCTIONS TO CANDIDATES

ANSWER ALL QUESTIONS

For this assignment you’ll be implementing several tree-based algorithms that we saw in class. Specifically you’re editing only “tree.c”. You shouldn’t change any other files. Here are your algorithms to implement:

 

AVL Tree - rebalanceTree

Here is a brief outlline of algorithm for rebalancing the tree using AVL trees:

Reminder: the balance of x is the height of the left subtree of x - height of the right subtree of x.

• Let x be the node we are starting our rebalance from

• While x is not NULL

  •  

• if the balance of x is 2 or 2

  • Set z equal to the child of x with the greater height

  • if the balance of x and the balance of z have different signs

    • if the sign of the balance of z is + right rotate on z

    •  

• if the sign of the balance of z is left rotate on z

• if the balance of x is 2 right rotate on x

•  

• if the balance of x is 2 left rotate on  x

• be sure to update the heights of rotated nodes

• Update height of the rotated nodes. (height of a node = height of its taller subtree plus 1).

• Set x equal to the parent of x

 

Huffman Tree - printHuffmanEncoding

Given the root of a Huffman tree and a character, print the sequence of bits used to encode that character based on the tree.

Reminder: Going left in the Huffman tree appends a ‘0’ and going right ap- pends a ‘1’.

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