Starting Out with Python (3rd Edition)
3rd Edition
ISBN: 9780133582734
Author: Tony Gaddis
Publisher: PEARSON
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Textbook Question
Chapter 4, Problem 9PE
Ocean Levels
Assuming the ocean's level is currently rising at about 1.6 millimeters per year, create an application that displays the number of millimeters that the ocean will have risen each year for the next 25 years.
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Design a dynamic programming algorithm for the Longest Alternating Subsequence problem
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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)
Chapter 4 Solutions
Starting Out with Python (3rd Edition)
Ch. 4.1 - What is a repetition structure?Ch. 4.1 - What is a condition-controlled loop?Ch. 4.1 - What is a count-controlled loop?Ch. 4.2 - What is a loop iteration?Ch. 4.2 - Does the while loop test its condition before or...Ch. 4.2 - How many times will 'Hello world' be printed in...Ch. 4.2 - What is an infinite loop?Ch. 4.3 - Rewrite the following code so it calls the range...Ch. 4.3 - What will the following code display? For number...Ch. 4.3 - What will the following code display? for number...
Ch. 4.3 - What will the following code display? for number...Ch. 4.3 - What will the following code display? for number...Ch. 4.4 - Prob. 13CPCh. 4.4 - Should an accumulator be initialized to any...Ch. 4.4 - What will the following code display? total - 0...Ch. 4.4 - What will the following code display? number 1 =...Ch. 4.4 - Rewrite the following statements using augmented...Ch. 4.5 - Prob. 18CPCh. 4.5 - Why should you take care to choose a distinctive...Ch. 4.6 - What does the phrase garbage in, garbage out mean?Ch. 4.6 - Give a general description of the input validation...Ch. 4.6 - Describe the steps that are generally taken when...Ch. 4.6 - Prob. 23CPCh. 4.6 - If the input that is read by the priming read is...Ch. 4 - A_________-controlled loop uses a true/false...Ch. 4 - A _____-controlled loop repeats a specific number...Ch. 4 - Each repetition of a loop is known as a(n) a cycle...Ch. 4 - The while loop is a _______ type of loop. a....Ch. 4 - A(n) ______ loop has no way of ending and repeats...Ch. 4 - The -= operator is an example of a(n) _________...Ch. 4 - Prob. 7MCCh. 4 - A(n) ____________ is a special value that signals...Ch. 4 - Prob. 9MCCh. 4 - The integrity of a programs output is only as good...Ch. 4 - The input operation that appears just before a...Ch. 4 - Validation loops are also known as _________. a....Ch. 4 - A condition-controlled loop always repeats a...Ch. 4 - The while loop is a pretest loop.Ch. 4 - The following statement subtracts 1 from x: x = x ...Ch. 4 - It is not necessary to initialize accumulator...Ch. 4 - In a nested loop, the inner loop goes through all...Ch. 4 - To calculate the total number of iterations of a...Ch. 4 - The process of input validation works as follows:...Ch. 4 - What is a condition-controlled loop?Ch. 4 - What is a count-controlled loop?Ch. 4 - What is an infinite loop? Write the code for an...Ch. 4 - Why is it critical that accumulator variables are...Ch. 4 - What is the advantage of using a sentinel?Ch. 4 - Prob. 6SACh. 4 - What does the phrase garbage in, garbage out mean?Ch. 4 - Give a general description of the input validation...Ch. 4 - Write a while loop that lets the user enter a...Ch. 4 - Write a while loop that asks the user to enter two...Ch. 4 - Write a for loop that displays the following set...Ch. 4 - Write a loop that asks the user to enter a number....Ch. 4 - Write a loop that calculates the total of the...Ch. 4 - Rewrite the following statements using augmented...Ch. 4 - Write a set of nested loops that display 10 rows...Ch. 4 - Write code that prompts the user to enter a...Ch. 4 - Write code that prompts the user to enter a number...Ch. 4 - Bug Collector The Bug Collector Problem A bug...Ch. 4 - Calories Burned Running on a particular treadmill...Ch. 4 - Budget Analysis Write a program that asks the user...Ch. 4 - Distance Traveled The distance a vehicle travels...Ch. 4 - Average Rainfall Write a program that uses nested...Ch. 4 - Celsius to Fahrenheit Table Write a program that...Ch. 4 - Pennies for Pay Write a program that calculates...Ch. 4 - Sum of Numbers Write a program with a loop that...Ch. 4 - Ocean Levels Assuming the ocean's level is...Ch. 4 - Tuition Increase At one college, the tuition for a...Ch. 4 - Calculating the Factorial of a Number In...Ch. 4 - Population Write a program that predicts the...Ch. 4 - Prob. 13PECh. 4 - Prob. 14PE
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