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Prove / Disprove the following 2 properties using Huffman Coding: a) If some characters occur with...

Prove / Disprove the following 2 properties using Huffman Coding:

a) If some characters occur with a frequency of more than 2/5, then there is a codeword that is guaranteed to be a length of 1.

b) If all characters occur with a frequency of less than 1/3, then there are no codewords guaranteed to be a length of 1.

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