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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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The worst case of quick sort has order O(n 2 )
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Q. The two Binary Trees are said to be similar if they are both empty or if they are both non- empty and left and right sub trees are similar. Write down an algorithm to determine
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Which sorting algorithm is best if the list is already sorted? Why? Insertion sort as there is no movement of data if the list is already sorted and complexity is of the order
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