Starting Out with Python (3rd Edition)
3rd Edition
ISBN: 9780133582734
Author: Tony Gaddis
Publisher: PEARSON
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Chapter 9, Problem 15MC
This operator can be used to find the difference of two sets.
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d. ^
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Sum of two squares def sum_of_two_squares(n):
Some positive integers can be expressed as a sum of two squares of some positive integers greater than zero. For example, 74 = 49 + 25 = 72 + 52. This function should find and return a tuple of two positive integers whose squares together add up to n, or return None if the parameter n cannot be broken into a sum of two squares.
To facilitate the automated testing, the returned tuple must present the larger of its two numbers first. Furthermore, if some integer can be broken down to a sum of squares in several ways, return the breakdown that maximizes the larger number. For example, the number 85 allows two such representations 72 + 62 and 92 + 22 , of which this function must return (9, 2).
The technique of two approaching indices that start from the beginning and end of a sequence, respectively, and approach each other until they meet somewhere, used in the function two_summers in one of our class examples, is directly applicable to this…
Sum of two squares def sum_of_two_squares(n): Some positive integers can be expressed as a sum of two squares of some positive integers greater than zero. For example, 74 = 49 + 25 = 72 + 52. This function should find and return a tuple of two positive integers whose squares together add up to n, or return None if the parameter n cannot be broken into a sum of two squares.To facilitate the automated testing, the returned tuple must present the larger of its two numbers first. Furthermore, if some integer can be broken down to a sum of squares in several ways, return the breakdown that maximizes the larger number. For example, the number 85 allows two such representations 72 + 62 and 92 + 22 , of which this function must return (9, 2).The technique of two approaching indices that start from the beginning and end of a sequence, respectively, and approach each other until they meet somewhere, used in the function two_summers in one of our class examples, is directly applicable to this…
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Chapter 9 Solutions
Starting Out with Python (3rd Edition)
Ch. 9.1 - An element in a dictionary has two parts. What are...Ch. 9.1 - Which part of a dictionary element must be...Ch. 9.1 - Suppose ' start' : 1472 is an element in a...Ch. 9.1 - Suppose a dictionary named employee has been...Ch. 9.1 - What will the following code display? stuff = {1 :...Ch. 9.1 - Prob. 6CPCh. 9.1 - Suppose a dictionary named inventory exists. What...Ch. 9.1 - What will the following code display? stuff = {1 :...Ch. 9.1 - What will the following code display? stuff = {1 :...Ch. 9.1 - What is the difference between the dictionary...
Ch. 9.1 - Prob. 11CPCh. 9.1 - Prob. 12CPCh. 9.1 - What does the values method return?Ch. 9.2 - Prob. 14CPCh. 9.2 - Prob. 15CPCh. 9.2 - Prob. 16CPCh. 9.2 - After the following statement executes, what...Ch. 9.2 - After the following statement executes, what...Ch. 9.2 - After the following statement executes, what...Ch. 9.2 - After the following statement executes, what...Ch. 9.2 - After the following statement executes, what...Ch. 9.2 - Prob. 22CPCh. 9.2 - After the following statement executes, what...Ch. 9.2 - After the following statement executes, what...Ch. 9.2 - Prob. 25CPCh. 9.2 - Prob. 26CPCh. 9.2 - After the following code executes, what elements...Ch. 9.2 - Prob. 28CPCh. 9.2 - After the following code executes, what elements...Ch. 9.2 - After the following code executes, what elements...Ch. 9.2 - After the following code executes, what elements...Ch. 9.2 - Prob. 32CPCh. 9.3 - Prob. 33CPCh. 9.3 - When you open a file for the purpose of saving a...Ch. 9.3 - When you open a file for the purpose of retrieving...Ch. 9.3 - Prob. 36CPCh. 9.3 - Prob. 37CPCh. 9.3 - Prob. 38CPCh. 9 - You can use the __________ operator to determine...Ch. 9 - You use ________ to delete an element from a...Ch. 9 - The ________ function returns the number of...Ch. 9 - You can use_________ to create an empty...Ch. 9 - The _______ method returns a randomly selected...Ch. 9 - The __________ method returns the value associated...Ch. 9 - The __________ dictionary method returns the value...Ch. 9 - The ________ method returns all of a dictionary's...Ch. 9 - The following function returns the number of...Ch. 9 - Prob. 10MCCh. 9 - Prob. 11MCCh. 9 - This set method removes an element, but does not...Ch. 9 - Prob. 13MCCh. 9 - Prob. 14MCCh. 9 - This operator can be used to find the difference...Ch. 9 - Prob. 16MCCh. 9 - Prob. 17MCCh. 9 - The keys in a dictionary must be mutable objects.Ch. 9 - Dictionaries are not sequences.Ch. 9 - Prob. 3TFCh. 9 - Prob. 4TFCh. 9 - The dictionary method popitem does not raise an...Ch. 9 - The following statement creates an empty...Ch. 9 - Prob. 7TFCh. 9 - Prob. 8TFCh. 9 - Prob. 9TFCh. 9 - Prob. 10TFCh. 9 - What will the following code display? dct =...Ch. 9 - What will the following code display? dct =...Ch. 9 - What will the following code display? dct =...Ch. 9 - What will the following code display? stuff =...Ch. 9 - How do you delete an element from a dictionary?Ch. 9 - How do you determine the number of elements that...Ch. 9 - Prob. 7SACh. 9 - What values will the following code display? (Dont...Ch. 9 - After the following statement executes, what...Ch. 9 - After the following statement executes, what...Ch. 9 - After the following statement executes, what...Ch. 9 - After the following statement executes, what...Ch. 9 - After the following statement executes, what...Ch. 9 - What will the following code display? myset =...Ch. 9 - After the following code executes, what elements...Ch. 9 - Prob. 16SACh. 9 - Prob. 17SACh. 9 - Prob. 18SACh. 9 - After the following code executes, what elements...Ch. 9 - Prob. 20SACh. 9 - Write a statement that creates a dictionary...Ch. 9 - Write a statement that creates an empty...Ch. 9 - Assume the variable dct references a dictionary....Ch. 9 - Assume the variable dct references a dictionary....Ch. 9 - Prob. 5AWCh. 9 - Prob. 6AWCh. 9 - Prob. 7AWCh. 9 - Prob. 8AWCh. 9 - Prob. 9AWCh. 9 - Prob. 10AWCh. 9 - Assume the variable dct references a dictionary....Ch. 9 - Write code that retrieves and unpickles the...Ch. 9 - Course information Write a program that creates a...Ch. 9 - Capital Quiz The Capital Quiz Problem Write a...Ch. 9 - File Encryption and Decryption Write a program...Ch. 9 - Unique Words Write a program that opens a...Ch. 9 - Prob. 5PECh. 9 - File Analysis Write a program that reads the...Ch. 9 - World Series Winners In this chapters source code...Ch. 9 - Name and Email Addresses Write a program that...Ch. 9 - Blackjack Simulation Previously in this chapter...
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