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1. A string s is said to be periodic with a period α, if s is αk for some k>2. (Note that αk is the string formed by concatenating k times.) A DNA sequence s is called a tandem repeat if it is periodic. Given a DNA sequence s, determine if it is periodic, and if so, the values for α and k. Note that there could be more than one period for a periodic string. In such a case, you need to report the shortest period.
2. A non-empty string β is called a repeat prefix of a string s if ββ is a prefix of s. Give a linear time algorithm to find the longest repeat prefix of s.
Hint: Think of using lca queries.
Ask question 1. Indicate whether each of the following properties is true for every Huffman code. a. The codewords of the two least frequent symbols have the same length. b. The
This question deals with AVL trees. You must use mutable pairs/lists to implement this data structure: (a) Define a procedure called make-avl-tree which makes an AVL tree with o
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As we have seen, as the traversal mechanisms were intrinsically recursive, the implementation was also easy through a recursive procedure. Though, in the case of a non-recursive me
A full binary tree with n leaves have:- 2n -1 nodes.
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