Using MIS (10th Edition)
Using MIS (10th Edition)
10th Edition
ISBN: 9780134606996
Author: David M. Kroenke, Randall J. Boyle
Publisher: PEARSON
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Chapter 4.8, Problem 4.8ARQ

Explanation of Solution

Usage of email:

The “email” is an electronic mail; this term is new to all at that time for past 15 years. Because, many people know only newspaper, books, letter, and so on.

  • Electronic mail is way of exchanging the messages among the people through the electronic devices.
  • In early stage, the format of the email system needs the sender and recipient to be online at same time.
  • But, nowadays the system of email is based on store and forward model which is fast-forward process.
    • Email can be received within a seconds after it’s sent.
    • It can be checked during break time, while driving in traffic, and so on.
    • The process of exchanging digital data between one or more recipient is commonly referred to as email.
    • It is provided by different service providing companies such as Google, Yahoo, and Microsoft.
    • Email service provider such as Gmail stores the mails of everyone in its Google network servers.
    • When a person accesses the email account, the browser downloads the content of the mail to the computer or mobile device.
    • The person need not worry about the location of the computer; he/she can access their email account from any location.

Hardware and software might change the life:

The recent development of hardware and software has changed each and everyone life.

  • The hardware and software development helps to people always linking, communicating, and playing.
  • Internet of Things (IoT) will permits to frequently connect to more devices.
    • Internet of Things is a design which objects are linked with internet for interaction purposes...

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Design a dynamic programming algorithm for the Longest Alternating Subsequence problem described below: Input: A sequence of n integers Output: The length of the longest subsequence where the numbers alternate between being larger and smaller than their predecessor The algorithm must take O(n²) time. You must also write and explain the recurrence. Example 1: Input: [3, 5, 4, 1, 3, 6, 5, 7, 3, 4] Output: 8 ([3, 5, 4, 6, 5, 7, 3, 4]) Example 2: Input: [4,7,2,5,8, 3, 8, 0, 4, 7, 8] Output: 8 ([4, 7, 2, 5, 3, 8, 0,4]) (Take your time with this for the subproblem for this one)
Design a dynamic programming algorithm for the Coin-change problem described below: Input: An amount of money C and a set of n possible coin values with an unlimited supply of each kind of coin. Output: The smallest number of coins that add up to C exactly, or output that no such set exists. The algorithm must take O(n C) time. You must also write and explain the recurrence. Example 1: Input: C24, Coin values = = [1, 5, 10, 25, 50] Output: 6 (since 24 = 10+ 10+1+1 +1 + 1) Example 2: Input: C = 86, Coin values = [1, 5, 6, 23, 35, 46, 50] Output: 2 (since 86 = 46+35+5)
Design a dynamic programming algorithm for the Longest Common Subsequence problem de- scribed below Input: Two strings x = x1x2 xm and y = Y1Y2... Yn Output: The length of the longest subsequence that is common to both x and y. . The algorithm must take O(m n) time. You must also write and explain the recurrence. (I want the largest k such that there are 1 ≤ i₁ < ... < ik ≤ m and 1 ≤ j₁ < ... < jk ≤ n such that Xi₁ Xi2 Xik = Yj1Yj2 ··· Yjk) Example 1: Input: x = 'abcdefghijklmnopqrst' and y = 'ygrhnodsh ftw' Output: 6 ('ghnost' is the longest common subsequence to both strings) Example 2: Input: x = 'ahshku' and y = ‘asu' Output: 3 ('asu' is the longest common subsequence to both strings)
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