A text message with 54,000 characters needs to be sent by one host to another.

3. Suppose it is also known that the frequencies of the 8 characters in the message are as given in the following table: Character Frequency a 1,000 b 2,000 C 4,000 d 5,000 e 6,000 E 8,000 g 12,000 h 16,000 a) [20 points] Construct a Huffman Code for these characters. (Show all steps in your construction.) b) [6 points] How many bits need to be transmitted if the message is sent according to your Huffman Code? c) [4 points] Is your Huffman Code unique? Why, or why not