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a. Explain the sum of subset problem. Apply backtracking to solve the following instance of sum of subset problem: w= (3, 4, 5, 6} and d = 13. Briefly define the method using a state-space tree.
b. What are commonalities and differences among backtracking and branch and bound algorithms?
Merge sort: Merge sort is a sorting algorithm that uses the idea of split and conquers. This algorithm splits the array into two halves, sorts them separately and then merges t
The below formula is used to calculate n: n = (x * x)/ (1 - x). Value x = 0 is used to stop the algorithm. Calculation is repeated using values of x until value x = 0 is input. The
A freight train from Melbourne is approaching Sydney, carrying n cars of cargos. The cargos are to be delivered to n different cities in the metropolitan area of Sydney - one car f
The information in the table below is available for a large fund-raising project. a. Determine the critical path and the expected completion time of the project. b. Plot the total
The insertion procedure in a red-black tree is similar to a binary search tree i.e., the insertion proceeds in a similar manner but after insertion of nodes x into the tree T, we c
Example of worse case of time
Explain principle of Optimality It indicates that an optimal solution to any instance of an optimization problem is composed of optimal solutions to its subinstances.
Determine the greatest common divisor (GCD) of two integers, m & n. The algorithm for GCD might be defined as follows: While m is greater than zero: If n is greater than m, s
A graph G might be defined as a finite set V of vertices & a set E of edges (pair of connected vertices). The notation utilized is as follows: Graph G = (V, E) Consider the g
Beauty Salon is a system to be designed to manage the booking and the payment of a single beauty parlour. Beauty Therapists: A beauty parlour has a number of staff members mo
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