Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter A.2, Problem 5E
Program Plan Intro
To describe why the integral approximation (A12) didn’t use to obtain an upper bound on the nth harmonic number in the given equation.
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2. Consider the following pseudocode for partition:
function partition (A,L,R)
pivotkey = A [R]
t = L
for i
L to R-1 inclusive:
if A[i] A[i]
t = t + 1
end if
end for
A [t] A[R]
return t
end function
Suppose we call partition (A,0,5) on A=[10,1,9,2,8,5]. Show the state of the list at the
indicated instances.
Initial A
After i=0 ends
After 1 ends
After i 2 ends
After i = 3 ends
After i = 4 ends
After final swap
10 19 285
[12 pts]
.NET Interactive
Solving Sudoku using Grover's Algorithm
We will now solve a simple problem using Grover's algorithm, for which we do not necessarily know the solution beforehand. Our problem is a 2x2 binary sudoku, which in our case has two simple rules:
•No column may contain the same value twice
•No row may contain the same value twice
If we assign each square in our sudoku to a variable like so:
1
V V₁
V3
V2
we want our circuit to output a solution to this sudoku.
Note that, while this approach of using Grover's algorithm to solve this problem is not practical (you can probably find the solution in your head!), the purpose of this example is to demonstrate the
conversion of classical decision problems into oracles for Grover's algorithm.
Turning the Problem into a Circuit
We want to create an oracle that will help us solve this problem, and we will start by creating a circuit that identifies a correct solution, we simply need to create a classical function on a quantum circuit
that…
using r language
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- Find the Error: class Pet def __init__(self, name, animal_type, age) self.__name = name; self.__animal_type = animal_type self.__age = age def set_name(self, name) self.__name = name def set_animal_type(self, animal_type) self.__animal_type = animal_typearrow_forwardTask 2: Comparable Interface and Record (10 Points) 1. You are tasked with creating a Java record of Dog (UML is shown below). The dog record should include the dog's name, breed, age, and weight. You are required to implement the Comparable interface for the Dog record so that you can sort the records based on the dogs' ages. Create a Java record named Dog.java. name: String breed: String age: int weight: double + toString(): String > Dog + compareTo(otherDog: Dog): int > Comparable 2. In the Dog record, establish a main method and proceed to generate an array named dogList containing three Dog objects, each with the following attributes: Dog1: name: "Buddy", breed: "Labrador Retriever", age: 5, weight: 25.5 Dog2: name: "Max", breed: "Golden Retriever", age: 3, weight: 30 Dog3: name: "Charlie", breed: "German Shepherd", age: 2, weight: 22 3. Print the dogs in dogList before sorting the dogList by age. (Please check the example output for the format). • 4. Sort the dogList using…arrow_forwardThe OSI (Open Systems Interconnection) model is a conceptual framework that standardises the functions of a telecommunication or computing system into seven distinct layers, facilitating communication and interoperability between diverse network protocols and technologies. Discuss the OSI model's physical layer specifications when designing the physical network infrastructure for a new office.arrow_forward
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