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Q1) A binary tree is full if all of its vertices have either zero or two children. Let Bn denote the number of full binary trees with n vertices.
(a) By drawing out all full binary trees with 3, 5, and 7 vertices, determine the exact values of B3 , B5 , and B7 .
(b) Why have we left out full binary trees with even number of vertices, like B4, in part (a)?
(c) For general n, derive a recurrence relation for Bn .
(d) Show by induction (substitution) that Bn is 2 (n) .
This paper investigates about fault-tolerance in load balancing schemes in distributed environment. There are some more parameters influencing QOS but our main focus is on fault tolerance and load balancing.
Evaluate the effective address if the addressing mode of the instruction is (a) direct; (b) immediate; (c) relative; (d) register indirect.
Their priorities are 2, 3, 1, 5 and 4, respectively, with 1 being the highest priority. Specify the order in which processes execute and determine the mean process turnaround time for each of the scheduling algorithms.
Describe a FAIRCOIN algorithm that returns either 0 or 1 with equal probability, using ONEINTHREE as your only source of randomness.
Determine hash value of modified file look like, as compared with original hash value?
Algorithm that will receive two integer items from a terminal operator, and display to the screen their sum, difference, product and quotient.
Devise an algorithm that generates an access control matrix A for any given history matrix H of the Chinese Wall model. A significant portion of the grade for this problem involves your justification of your algorithm.
What factors and principles should the federal government take into account when considering indecency regulation issues?
Design an algorithm based on BFS that either colors a graph with 2 colors or determines that two colors are not sufficient.
Determine an algorithm which works directly with this graph representation, and calculates minimum number of semesters necessary to complete the curriculum.
Implement a queue as a circular array as follows: Use two index variables head and tail that contain the index of the next element to be removed and the next element to be added.
Our goal is to plan this trip so that we minimize the maximum amount of walking done in a single day. Your algorithm should be based on dynamic programming and run efficiently.
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