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1. Give both a high-level algorithm and an implementation (\bubble diagram") of a Turing machine for the language in Exercise 3.8 (b) on page 160. Use the ' notation to show the computation sequence (con_gurations) for the strings 010 and 1010 using your TM.
2. Give both a high-level algorithm and an implementation (\bubble diagram") of a Turing machine for the language in Exercise 3.8 (c) on page 160. Use the ' notation to show the computation sequence (con_gurations) for the strings 000 and "using your TM.
3. Give both a high-level algorithm and an implementation (\bubble diagram") of a deterministic Turing machine that accepts L = fw 2 fa; b; cg_ j jwja < jwjb < jwjcg.
4. Give both a high-level algorithm and an implementation-level (\bubble diagram") of a Turing machine for the language:
L = fw 2 fa; bg_ j w contains aa and ends with bag
5. Give both a high-level algorithm and an implementation-level (\bubble diagram") of a Turing machine for the language:
L = fw#x j w; x 2 fa; bg_ and w is a substring of xg Computability and Complexity
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Question 1 Explain how the shuttle sort algorithm works by making use of the following list of integers:11, 4, 2, 8, 5, 33, 7, 3, 1, 6. Show all the steps. Question 2
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A binary tree in which if all its levels except possibly the last, have the maximum number of nodes and all the nodes at the last level appear as far left as possible, is called as
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The number of leaf nodes in a complete binary tree of depth d is 2 d
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