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 5.1, Problem 1E
Program Plan Intro
To show that the best candidate in line 4 of procedure HIRE-ASSISTANT implies that the total order on the ranks of the candidates.
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Question 1. Suppose that the grading of x University courses is as follows:
• Each student can get grades between 0 and 100.
• If the grade of the student is less than 40, the student is informed that he failed the course
( Failed ).
• If the student's grade is higher than 40 ,
o The difference between the student's current grade and the number that is a multiple of
the 5 higher than the closest to his / her grade is less than 3.
If it is lower, the student's grade is equal to the 5 times higher than the closest one.
o If the difference is 3 or more than 3 , no change is made in the grade of the student .
In this context, the updated grades of the students are calculated according to the entered
student grades and printed on the screen.
Write the Java code showing.and c++code showing.
V Define the section to be calculated as Java object (" Question1 ").
V Question1 ; Take the note string as input.
o public Question1 ( int [] input )
V Print the updated notes as a series after the…
Anthony, Shirley and Jennifer belong to the Dancer Club. Every member of the Dancer Club is either a skier or a mountain climber or both. No mountain climber likes rain, and all skiers like snow. Jennifer dislikes whatever Anthony likes and likes whatever Anthony dislikes. Anthony likes rain and snow. Using resolution, please find: is there a member of the Dancer Club who is a mountain climber but not a skier?
Correct answer will be upvoted else Multiple Downvoted. Computer science.
All sections between two houses will be shut, in case there are no instructors in the two of them. Any remaining sections will remain open.
It ought to be feasible to go between any two houses utilizing the underground sections that are open.
Educators ought not reside in houses, straightforwardly associated by an entry.
Kindly assist the coordinators with picking the houses where educators will reside to fulfill the security necessities or establish that it is unimaginable.
Input
The originally input line contains a solitary integer t — the number of experiments (1≤t≤105).
Each experiment begins with two integers n and m (2≤n≤3⋅105, 0≤m≤3⋅105) — the number of houses and the number of sections.
Then, at that point, m lines follow, every one of them contains two integers u and v (1≤u,v≤n, u≠v), depicting a section between the houses u and v. It is ensured that there are no two sections…
Chapter 5 Solutions
Introduction to Algorithms
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- Correct and detailed answer will upvoted else downvoted . Skip if you don't know. there live N individuals, numbered from 1 to N. There are by and large M sets of individuals that are companions with one another. Individuals of Baltia need to put together a fruitful party, however they have extremely severe guidelines on what a party is and when the party is effective. On the island of Baltia, a party is a social occasion of precisely 5 individuals. The party is viewed as effective if either every one individuals at the party are companions with one another (so they would all be able to converse with one another without stressing over conversing with somebody they are not companions with) or no two individuals at the party are companions with one another (so everybody can simply be on their telephones without any other person troubling them). If it's not too much trouble, help individuals of Baltia put together a fruitful party or let them know that it's difficult to do as such.…arrow_forwardDuring the internship season m tech companies are looking to hire CS undergrads, each company has k number of available positions. There are also n CS undergrads, each interested in joining one of the companies. After all the interviews each company has rankings of students in order of preference, and each student has a ranking of companies in order of preference. We can assume that there are more internship slots available than the number of students. (This means that at the end not all slots will be filled.) Describe an algorithm that finds a stable assignment of students to companies. That is, each student will get assigned to one company and the resulting matching is stable. In your answer make sure to follow the guidelines of solving an algorithmic problem, as described above.arrow_forwardSolve the following problem using the principle of inclusion and exclusion: Suppose there are only three types of faculties in a college: the newly recruitedlab professors (LP), the assistant professors (AP), and the teaching professors (TP). Eachprofessor has to be at least in one of these three categories. And the total number of professorsin the school is 1230. Suppose that the following is given:The number of faculties who are LP is 320.The number of faculties who are AP is 750.The number of faculties who are TP is 460.The number of faculties who are both LP and AP is 20.The total of faculties who are both LP and TP is 130.The total of faculties who are both AP and TP is 190. What is the total number of faculties who fit into all 3 categories?arrow_forward
- A school dance committee is to consist of 2 freshmen, 3 sophomores, 4 juniors, and 5 seniors. If 6 freshmen, 7 sophomores, 9 juniors, and 7 seniors are eligible to be on the committee, in how many ways can the committee be chosen? Your answer is:arrow_forwardIn a celebration within a group, each person handshakes some people. Using the Pigeonhole Principle, prove that there must be two people within the group who handshake the same number of people.arrow_forwardHi please answer the following follow up questions as well, posted them as another question. Question 4 For the 9-tile soring problem, assume that you start from this initial state 7 2 4 5 6 8 3 1 The Goal State is: 1 2 3 4 5 6 7 8 The cost of moving any tile is 1. Let the heuristic function h(n) = number of misplaced tiles. For the shown configuration, there are four options for the next move: Move 5 to the right Move 6 to the left Move 2 down Move 3 up Each of these moves has a value f(n) = h(n) + g(n). If we choose to Move 5 to the right, then g(n) = 1. That is, it took us one step to reach this state from the initial state. h(n) = number of misplaced tiles. The misplaced tiles are {7,4,8,3,1}. So the number of misplaced tiles = h(n) = 5. If we choose to Move 6 to the left, g(n) is still = 1, but h(n) will change because the number of misplaced tiles is different. A* works by computing f(n) = h(n) + g(n) for each of these possible moves. Then it…arrow_forward
- Suppose that the grading of x University courses is as follows:• Each student can get grades between 0 and 100.• If the student's grade is less than 40, the student is informed that the course failed (Unsuccessful).• If the student's grade is higher than 40,o The difference between the student's current grade and the number that is a multiple of 5 higher than the closest to his / her grade is less than 3.If it is lower, the student's grade is equal to the 5 fold higher than the closest one.o If the difference is 3 or more than 3, no change is made in the grade of the student.In this context, the updated grades of the students are calculated according to the entered student gradesWrite the Java code showing.Solve this question in c ++ language.ü Define the section to be calculated as Java object ("Question1").ü Question1; Take the note string as input.public Question1 (int [] input)ü Print out the updated notes as a series after the calculation is madeo public int [] gradingStudents…arrow_forwarddemonstrate the use of the periodic interval functions. Observe that since we have N points, and that we want points to be uniformly spaced throughout the interval including only the left end-point, then we must chose dr to be the length of the interval divided by N. Why only the left end- point? Recall that we want the domain to be periodic. Hence, the last point value should not be the right-hand end of the domain because this value is periodic with the left-hand value. So we chose da to be the length of the interval divided by N and not by (N-1).arrow_forwardSuppose that the grading of x University courses is as follows:• Each student can get grades between 0 and 100.• If the student's grade is less than 40, the student is informed that the course failed (Unsuccessful).• If the student's grade is higher than 40,o The difference between the student's current grade and the number that is a multiple of 5 higher than the closest to his / her grade is less than 3.If it is lower, the student's grade is equal to the 5 fold higher than the closest one.o If the difference is 3 or more than 3, no change is made in the grade of the student.In this context, the updated grades of the students are calculated according to the entered student gradesWrite the Java code showing.ü Define the section to be calculated as Java object ("Question1").ü Question1; Take the note string as input.public Question1 (int [] input)ü Print out the updated notes as a series after the calculation is madeo public int [] gradingStudents ()Code sample:public class Question1…arrow_forward
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