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1. Analyze the following properties of BFS and DFS for an Acyclic Tree without making any assumptions.
a.) Optimalityb.) Completenessc.) Space Complexityd.) Time Complexity
Propose an algorithm which is a hybrid of both BFS and DFS and ensures better characteristics compared to both BFS and DFS.
2. Modify Prim's or Kruskal's algorithm to find a diameter bounded minimum spanning tree of a complete graph. A diameter bounded minimum spanning tree is a spanning tree having least cost and diameter not greater than a bound .
3. Compare and contrast among Dijkstra's Algorithm, Ford Algorithm and WFI Algorithm to find shortest path.
Create algorithm to calculate union of two input sets given as arrays, both of size O(n). The output must be array of distinct elements that form union of the sets.
What is the time complexity of the procedure? If A[l .. r] = [24, 30, 09, 46, 15, 19, 29, 86,78], what is the output?
Binary tree is full if all of its vertices have either zero or two children. Let Bn denote number of full binary trees with n vertices. Illustrate by induction (substitution) that Bn is 2 (n) .
Write a recursive function to determine if a binary tree is a binary search tree.
So that every house is within four miles of one of the base stations. Write efficient algorithm that achieves this goal, using as few base stations as possible.
Then sort arrays so that records are in descending order by purchase amount for month. Output lists the names of the top five customers.
Illustrate all your work. Use modular approach to solving this problem. Give the following submodule. Calculations - module to compute gross pay. Using the Program Development Cycle, develop an algorithm using pseudocode for the following task.
Design an algorithm to find the average miles per gallon. Sample data: 68723, 71289, 15.75, 16.30, 10.95, 20.65, 30.00.
Identify at least two data structures that are used to organize a typical file cabinet. Why do you feel it is necessary to emulate these types of data structures in a computer program?
Describe the distinction between an ambiguity in a proposed algorithm and an ambiguity in the representation of an algorithm. Describe how the use of primitives helps remove ambiguities in an algorithm's representation.
Katt wishes you to create an algorithm that, given a string X, determines efficiently how many ways X can be broken up into sequence of words.
Show the result of inserting these keys using linear probing, using quadratic probing with c1 = 1 and c2 = 3, and using double hashing with h2(k) = 1 + (k mod (m ¡ 1)).
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