Question: Given a set of characters A = {a1, a2, ...an}, where n > 2. Let fi and fj be the frequencies of ai and aj

Given a set of characters A = {a1, a2, ...an}, where n > 2. Let fi and fj be the frequencies of ai and aj , and di and dj be the depths of ai and aj in a Huffman encoding tree for A. Prove or disprove (by counter example) the following statement.

a. (5 marks) if di = dj then fi = fj .

b. (5 marks) if fi > fj then di dj.

Please help with these two questions.

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