Jake uses a Huffman code to compress i.i.d. (independent nad identically distributed) strings of symbols that come from a 5-ary alphabet ($A$, $B$, $E$, $R$, $S$) where the probabilities of occurrence of the symbols are given by ($1/4$, $1/4$, $1/6$, $1/6$, $1/6$) respectively. How many bits does his encoder need to encode the string "BEARS"?
2026-03-27 08:38:50.1774600730
Number of bits needed for Huffman code
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You have been given the letters and their probabilities. Construct a Huffman code for them. With this code, how many bits are needed to encode "BEARS".