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Let G(V,E) be a directed graph, with source s∈V , sink t∈V , and nonnegative edge capacities {ce}. Provide a polynomial-time algorithm to decide whether G has a unique minimum s - t cut (i.e., an s - t cut of capacity strictly less than that of all other s - t cuts).
The Viterbi algorithm is a deterministic algorithm for solving the Decoding problem. Design a randomized algorithm for solving the Decoding problem.
Illustrate how output of the leaky bucket policer can be fed into second leaky bucket policer so that two leaky buckets in series police average rate, peak rate, and burst size.
In this programming assignment you will implement an open hash table and compare the performance of four hash functions using various prime table sizes.
Give a linear-time algorithm to find an odd-length cycle in a directed graph. You may not suppose that graph is strongly connected.
Write a C++ class which implements stack by using a dynamically allocated array. Initial size of particular stack must be determined when it is created.
Assume you have one machine and a set of n jobs a1, a2, ..., an to process on that machine. Determine the schedule that obtains the maximum amount of profit. Compute the running time of your algorithm?
Create the algorithm which takes as inputs, matrices C, D, and vertex indices i and j, and returns minimum-cost path from vertex i to vertex j.
Acme Inc. is making next generation financial tracking program, and Alice has been provided the task of writing encryption component.
The objective is to fill in blank squares using words from the list. Your task is to formulate problem as constraint satisfaction problem. Explain two possible solutions.
Suppose you are using quicksort to sort array A with 6 distinct elements a1, a2, ..., a6. Sketch portion of the decision tree which corresponds to th ordering a3
Currency Conversion Development
Let A[1, n] be an array of real numbers. Create an algorithm to perform any sequence of the following two operations: Add(i, x): add the value x to A[i].
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