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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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Implementations of Kruskal's algorithm for Minimum Spanning Tree. You are implementing Kruskal's algorithm here. Please implement the array-based Union-Find data structure.
1. Show the effect of each of the following operations on queue q. Assume that y (type Character) contains the character ‘&’. What are the final values of x and success (type boole
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Depth-first traversal A depth-first traversal of a tree visit a node and then recursively visits the subtrees of that node. Likewise, depth-first traversal of a graph visits
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merging 4 sorted files containing 50 10 25 and 15 records will take time
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