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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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Explain binary search with an example
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Optimal solution to the problem given below. Obtain the initial solution by VAM Ware houses Stores Availibility I II III IV A 5 1 3 3 34 B 3 3 5 4 15 C 6 4 4 3 12 D 4 –1 4 2 19 Re
* Initialise d & pi* for each vertex v within V( g ) g.d[v] := infinity g.pi[v] := nil g.d[s] := 0; * Set S to empty * S := { 0 } Q := V(g) * While (V-S)
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