Computer Science: An Overview (12th Edition)
12th Edition
ISBN: 9780133760064
Author: Glenn Brookshear, Dennis Brylow
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 5, Problem 50CRP
Program Plan Intro
- Consider a group of people divided into two subgroups (of any arbitrary size) with no one having same age in common such that the difference of their sum of ages of both groups is maximum.
- Now according to big-theta notation, we need to find the smallest number and separate it into one group and remaining in another group.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Imagine there are N teams competing in a tournament, and that each team plays each of the other teams once. If a tournament were to take place, it should be demonstrated (using an example) that every team would lose to at least one other team in the tournament.
You are a computer research scientist at Tesla, and your task is to create a computer vision application for
self-driving cars to detect object and avoid collision. You know that Graham's scan is a method of
computing the convex hull of a finite set of points in the plane. You decide to apply this algorithm to
achieve the goal of your task.
a)
Suppose Graham's scan executes n points, where n >= 3. Prove that, at the end of the program, the stack
S consists of, from bottom to top, exactly the vertices of convex hull in counter-clockwise order.
In computer science and mathematics, the Josephus Problem (or Josephus permutation) is a theoretical problem. Following is the problem statement: There are n people standing in a circle waiting to be executed. The counting out begins at some point (rear) in the circle and proceeds around the circle in a fixed direction. In each step, a certain number (k) of people are skipped and the next person is executed. The elimination proceeds around the circle (which is becoming smaller and smaller as the executed people are removed), until only the last person remains, who is given freedom. Given the total number of persons n and a number k which indicates that k-1 persons are skipped and kth person is killed in circle. The task is to choose the place in the initial circle so that you are the last one remaining and so survive. For example, if n = 5 and k = 2, then the safe position is 3. Firstly, the person at position 2 is killed, then person at position 4 is killed, then person at position 1…
Chapter 5 Solutions
Computer Science: An Overview (12th Edition)
Ch. 5.1 - Prob. 1QECh. 5.1 - Prob. 2QECh. 5.1 - Prob. 3QECh. 5.1 - Suppose the insertion sort as presented in Figure...Ch. 5.2 - A primitive in one context might turn out to be a...Ch. 5.2 - Prob. 2QECh. 5.2 - The Euclidean algorithm finds the greatest common...Ch. 5.2 - Describe a collection of primitives that are used...Ch. 5.3 - Prob. 2QECh. 5.3 - Prob. 3QE
Ch. 5.3 - Prob. 4QECh. 5.4 - Modify the sequential search function in Figure...Ch. 5.4 - Prob. 2QECh. 5.4 - Some of the popular programming languages today...Ch. 5.4 - Suppose the insertion sort as presented in Figure...Ch. 5.4 - Prob. 5QECh. 5.4 - Prob. 6QECh. 5.4 - Prob. 7QECh. 5.5 - What names are interrogated by the binary search...Ch. 5.5 - Prob. 2QECh. 5.5 - What sequence of numbers would be printed by the...Ch. 5.5 - What is the termination condition in the recursive...Ch. 5.6 - Prob. 1QECh. 5.6 - Give an example of an algorithm in each of the...Ch. 5.6 - List the classes (n2), (log2n), (n), and (n3) in...Ch. 5.6 - Prob. 4QECh. 5.6 - Prob. 5QECh. 5.6 - Prob. 6QECh. 5.6 - Prob. 7QECh. 5.6 - Suppose that both a program and the hardware that...Ch. 5 - Prob. 1CRPCh. 5 - Prob. 2CRPCh. 5 - Prob. 3CRPCh. 5 - Select a subject with which you are familiar and...Ch. 5 - Does the following program represent an algorithm...Ch. 5 - Prob. 6CRPCh. 5 - Prob. 7CRPCh. 5 - Prob. 8CRPCh. 5 - What must be done to translate a posttest loop...Ch. 5 - Design an algorithm that when given an arrangement...Ch. 5 - Prob. 11CRPCh. 5 - Design an algorithm for determining the day of the...Ch. 5 - What is the difference between a formal...Ch. 5 - Prob. 14CRPCh. 5 - Prob. 15CRPCh. 5 - The following is a multiplication problem in...Ch. 5 - Prob. 17CRPCh. 5 - Four prospectors with only one lantern must walk...Ch. 5 - Starting with a large wine glass and a small wine...Ch. 5 - Two bees, named Romeo and Juliet, live in...Ch. 5 - What letters are interrogated by the binary search...Ch. 5 - The following algorithm is designed to print the...Ch. 5 - What sequence of numbers is printed by the...Ch. 5 - Prob. 24CRPCh. 5 - What letters are interrogated by the binary search...Ch. 5 - Prob. 26CRPCh. 5 - Identity the termination condition in each of the...Ch. 5 - Identity the body of the following loop structure...Ch. 5 - Prob. 29CRPCh. 5 - Design a recursive version of the Euclidean...Ch. 5 - Prob. 31CRPCh. 5 - Identify the important constituents of the control...Ch. 5 - Identify the termination condition in the...Ch. 5 - Call the function MysteryPrint (defined below)...Ch. 5 - Prob. 35CRPCh. 5 - Prob. 36CRPCh. 5 - Prob. 37CRPCh. 5 - The factorial of 0 is defined to be 1. The...Ch. 5 - a. Suppose you must sort a list of five names, and...Ch. 5 - The puzzle called the Towers of Hanoi consists of...Ch. 5 - Prob. 41CRPCh. 5 - Develop two algorithms, one based on a loop...Ch. 5 - Design an algorithm to find the square root of a...Ch. 5 - Prob. 44CRPCh. 5 - Prob. 45CRPCh. 5 - Design an algorithm that, given a list of five or...Ch. 5 - Prob. 47CRPCh. 5 - Prob. 48CRPCh. 5 - Prob. 49CRPCh. 5 - Prob. 50CRPCh. 5 - Prob. 51CRPCh. 5 - Does the loop in the following routine terminate?...Ch. 5 - Prob. 53CRPCh. 5 - Prob. 54CRPCh. 5 - The following program segment is designed to find...Ch. 5 - a. Identity the preconditions for the sequential...Ch. 5 - Prob. 57CRPCh. 5 - Prob. 1SICh. 5 - Prob. 2SICh. 5 - Prob. 3SICh. 5 - Prob. 4SICh. 5 - Prob. 5SICh. 5 - Is it ethical to design an algorithm for...Ch. 5 - Prob. 7SICh. 5 - Prob. 8SI
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.Similar questions
- Write a program that can inverse a matrix by using an approach to find its minor, cofactor and adjugate matrix. Test your program with the given matrix ? Please provide in Python programarrow_forwardEvaluation of Polynomial Function A polynomial of degree n is a function of the form f(x) = anx" + an-1x"-1 +...+ azx2 + a1x + ao where the as are real numbers (sometimes called the coefficients of the polynomial). Although this general formula might look quite complicated, particular examples are much simpler. For example, f(x) = 4x3 – 3x² + 2 %3D is a polynomial of degree 3, as 3 is the highest power of x in the formula. This is called a cubic polynomial, or just cubic.arrow_forwardOverflows You have learned the concept of overflow (with say n! that overflows at 13! for integer) Now consider Fibonacci numbers this way: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, etc. A Fibonacci sequence f(n) is of the form: f(1) = f(2) = 1, and f(n+2) = f(n) + f(n+1) for n >= 1. 6. Write a Java computer program that prints out Fibonacci numbers in a certain data type from f(1) until f(n) with n an integer you input from the keyboard. 7arrow_forward
- In a company, there are several branches. Let us consider a branch of that company having N employees, if the manager is allotted to that branch(s) then he is known to everyone else in that branch. Note that the property of "known to everyone" is unique to a manager. Your task is to find the manager in that branch. Input from the user in main (), the square matrix M where if an element of row i and column j is set to 1 it means that ith person knows jth person. You need to write a function managerId () which returns the id of the manager if present or else returns -1. The function managerId () takes two arguments - the square matrix of N *N and its size N. Call managerId () from the main () output the information about the manager. Assume all diagonal elements to be 1 (as everyone knows him/herself) and there is at most one manager in the company.arrow_forwardThe moment (torque) of a force is given by M =F-d-sin(0), where M is the moment, F is the force, and d is the distance between line of action of the force to the pivot, and 0 is the angle between the force and the arm. Both Fand d can be any row vectors. Use F = [50 75 90 120] and d = [3 5 8] in your work to compute the moments M. Given 0 = 45°. Show your Matlab commands. You don't need to calculate the moments.arrow_forwardThis problem is taken from the delightful book "Problems for Mathematicians, Young and Old" by Paul R. Halmos. Suppose that 931 tennis players want to play an elimination tournament. That means: they pair up, at random, for each round; if the number of players before the round begins is odd, one of them, chosen at random, sits out that round. The winners of each round, and the odd one who sat it out (if there was an odd one), play in the next round, till, finally, there is only one winner, the champion. What is the total number of matches to be played altogether, in all the rounds of the tournament? Your answer: Hint: This is much simpler than you think. When you see the answer you will say "of course".arrow_forward
- Consider a group of balls where each ball is one of k colors. You can assume that there is an equal number of balls of each color. Each ball, aside from its color, has a written integer on it. The numbers are in no way associated with the color. a) Devise an algorithm that orders all the balls according to colors in a way that no ball comes before a ball of a lighter color. In other words, how do you order balls from lightest to darkest, however, inside one group (i. e., one color), balls can be ordered in any way with respect to the number written on the ball. Design an algorithm and analyze it. b) Now take the output from (a), and also order balls within the color. How much time is needed for this step?arrow_forwardProblem Alice was given a number line containing every positive integer, x, where 1<=x<=n. She was also given m line segments, each having a left endpoint, l (1<=l<=n), a right endpoint, r (1<=r<=n), and an integer weight, w. Her task is to cover all numbers on the given number line using a subset of the line segments, such that the maximum weight among all the line segments in the chosen subset is minimal. In other words, let S=(l1,r1,w1),(l2,r2,w2),....,(lk,rk,wk), represent a set of k line segments chosen by Alice, max(w1,w2,...,wk) should be minimized. All numbers 1,2,....n should be covered by at least one of k the chosen line segments. It is okay for the chosen line segments to overlap. You program should output the minimized maximum weight in the chosen subset that covers all the numbers on the number line, or -1 if it is not possible to cover the number line. Input format The first line of the input contains an integer, n - denoting the range of numbers…arrow_forwardAn n × n square consists of black and white cells arranged in a certain way. The problem is to determine the number of white areas and the number of white cells in each area. For example, a regular 8 × 8 chessboard has 32 one-cell white areas; the square in Figure 5.22a consists of 10 areas, 2 of them of 10 cells, and 8 of 2 cells; the square in Figure 5.22b has 5 white areas of 1, 3, 21, 10, and 2 cells. Write a program that, for a given n × n square, outputs the number of white areas and their sizes. Use an (n + 2) × (n + 2) array with properly marked cells. Two ad- ditional rows and columns constitute a frame of black cells surrounding the entered square to simplify your implementation. For instance, the square in Figure 5.22b is stored as the square in Figure 5.22c. (a–b) Two n 3 n squares of black and white cells and (c) an (n + 2) 3 (n + 2) array implementing square (b). bbbbbbbbbb bwbbwwbwwb bbbbbwbwwb bwwwbbwwwb bwbwbwwbbb bwbwwwbwbb bwbbbbwwwb bwbwbbwwwb bwbwbbwwwb…arrow_forward
- Correct answer will be upvoted else downvoted. Computer science. single activity, you should supplant each digit d of the number with the decimal portrayal of integer d+1. For instance, 1912 becomes 21023 in the wake of applying the activity once. You need to find the length of n subsequent to applying m tasks. Since the appropriate response can be exceptionally enormous, print it modulo 109+7. Input The main line contains a solitary integer t (1≤t≤2⋅105) — the number of experiments. The main line of each experiment contains two integers n (1≤n≤109) and m (1≤m≤2⋅105) — the underlying number and the number of activities. Output For each experiment output the length of the subsequent number modulo 109+7.arrow_forwardQ. Given a 2d grid map of '1's (land) and '0's (water),count the number of islands.An island is surrounded by water and is formed byconnecting adjacent lands horizontally or vertically.You may assume all four edges of the grid are all surrounded by water. Example 1: 11110110101100000000Answer: 1 Example 2: 11000110000010000011Answer: 3""" def num_islands(grid): count = 0 for i in range(len(grid)): for j, col in enumerate(grid[i]): if col == 1: dfs(grid, i, j) count += 1 Please code it. .arrow_forwardA matrix's trace is equal to its trace transposed. The diag method of Numpy may be used to extract the elements along the diagonal of a square matrix. Retrieving data from diagonals above or below the primary diagonal is possible using the optional parameter k. The call trace, just like in Python programming, may be used to get a matrix's trace.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Database System ConceptsComputer ScienceISBN:9780078022159Author:Abraham Silberschatz Professor, Henry F. Korth, S. SudarshanPublisher:McGraw-Hill Education
Starting Out with Python (4th Edition)Computer ScienceISBN:9780134444321Author:Tony GaddisPublisher:PEARSON
Digital Fundamentals (11th Edition)Computer ScienceISBN:9780132737968Author:Thomas L. FloydPublisher:PEARSON
C How to Program (8th Edition)Computer ScienceISBN:9780133976892Author:Paul J. Deitel, Harvey DeitelPublisher:PEARSON
Database Systems: Design, Implementation, & Manag...Computer ScienceISBN:9781337627900Author:Carlos Coronel, Steven MorrisPublisher:Cengage Learning
Programmable Logic ControllersComputer ScienceISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
Database System Concepts
Computer Science
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:McGraw-Hill Education
Starting Out with Python (4th Edition)
Computer Science
ISBN:9780134444321
Author:Tony Gaddis
Publisher:PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:9780132737968
Author:Thomas L. Floyd
Publisher:PEARSON
C How to Program (8th Edition)
Computer Science
ISBN:9780133976892
Author:Paul J. Deitel, Harvey Deitel
Publisher:PEARSON
Database Systems: Design, Implementation, & Manag...
Computer Science
ISBN:9781337627900
Author:Carlos Coronel, Steven Morris
Publisher:Cengage Learning
Programmable Logic Controllers
Computer Science
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education