Suppose we are given a file F that is composed of n different words, with frequencies...
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Suppose we are given a file F that is composed of n different words, with frequencies f1, f2, ..., f n. respectively. Assuming that for the ith word, the cost per bit of its encoding is c > 0 with 1sisn. Thus, if we find a prefix-free code where the ith word has codeword of length l;, then the total cost of the encoding of file F is i=1 Devise an O(n log n)-time algorithm for finding a prefix-free encoding of the n words in file F such that the total cost of the encoding is minimised. Show the correctness of your proposed algorithm. Analyse the time complexity of your proposed algorithm Show transcribed image text Suppose we are given a file F that is composed of n different words, with frequencies f1, f2, ..., f n. respectively. Assuming that for the ith word, the cost per bit of its encoding is c > 0 with 1sisn. Thus, if we find a prefix-free code where the ith word has codeword of length l;, then the total cost of the encoding of file F is i=1 Devise an O(n log n)-time algorithm for finding a prefix-free encoding of the n words in file F such that the total cost of the encoding is minimised. Show the correctness of your proposed algorithm. Analyse the time complexity of your proposed algorithm Show transcribed image text
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