Introduction to Java Programming and Data Structures Comprehensive Version (11th Edition)
11th Edition
ISBN: 9780134700144
Author: Liang
Publisher: PEARSON
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Textbook Question
Chapter 6, Problem 6.28PE
(Mersenne prime) A prime number is called a Mersenne prime if it can be written in the form 2P − 1 for some positive integer p. Write a
| P | 2^p-1 |
| 2 | 3 |
| 3 | 7 |
| 5 | 31 |
| ⋯ |
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/*code
Kth Largest Factor
A positive integer d is said to be a factor of another positive integer N if when N is divided by d, the remainder obtained is zero. For example, for number 12, there are 6 factors 1, 2, 3, 4, 6, 12. Every positive integer k has at least two factors, 1 and the number k itself.Given two positive integers N and k, write a program to print the kth largest factor of N.
Input Format: The input is a comma-separated list of positive integer pairs (N, k).
Output Format: The kth highest factor of N. If N does not have k factors, the output should be 1.
Constraints:
1<N<10000000000
1<k<600.
You can assume that N will have no prime factors which are larger than 13..
le.com/forms/d/e/1FAlpQLSc6PlhZGOLJ4LOHo5cCGEf9HDChfQ-tT1bES-BKgkKu44eEnw/formResponse
The following iterative sequence is defined for the set of positive integers:
Sn/2
3n +1 ifn is odd
if n is even
Un =
Using the rule above and starting with 13, we generate the following sequence:
13 u13 = 40 u40 =20 u20 = 10→ u10 =5 u5 = 16 u16 = 8 ug = 4 →
Us =2 u2 =1.
It can be seen that this sequence (starting at 13 and finishing at 1) contains 10 terms.
The below function takes as input an integer n and returns the number of terms
generated by the sequence starting at n.
function i-Seq (n)
u=n;
i=%3;
while u =1
if statement 1
u=u/2;
else
statement 2
end
i=i+1;
end
statement 1 and statement 2 should be replaced by:
None of the choices
statement 1 is "mod(u,2)=D%3D0" and statement 2 is "u = 3*u+1;"
statement 1 is "u%2" and statement 2 is "u = 3*u+1;"
O statement 1 is "mod(n,2)=30" and statement 2 is "u = 3*n+1;"
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Chapter 6 Solutions
Introduction to Java Programming and Data Structures Comprehensive Version (11th Edition)
Ch. 6.4 - What are the benefits of using a method?Ch. 6.4 - Prob. 6.4.2CPCh. 6.4 - How do you simplify the max method in Listing 6.1...Ch. 6.4 - Prob. 6.4.4CPCh. 6.4 - Prob. 6.4.5CPCh. 6.4 - Prob. 6.4.6CPCh. 6.4 - Prob. 6.4.7CPCh. 6.4 - Write method headers (not the bodies) for the...Ch. 6.4 - Identify and correct the errors in the following...Ch. 6.4 - Prob. 6.4.10CP
Ch. 6.5 - Prob. 6.5.1CPCh. 6.5 - Identify and correct the errors in the following...Ch. 6.5 - Prob. 6.5.3CPCh. 6.5 - Prob. 6.5.4CPCh. 6.6 - Prob. 6.6.1CPCh. 6.6 - Prob. 6.6.2CPCh. 6.7 - What is hexCharToDecimal ( B)) ? What is...Ch. 6.8 - What is method overloading? Is it permissible to...Ch. 6.8 - What is wrong in the following program? public...Ch. 6.8 - Given two method definitions, public static double...Ch. 6.9 - Prob. 6.9.1CPCh. 6.9 - What is the scope of a local variable?Ch. 6 - (Math: pentagonal numbers) A pentagonal number is...Ch. 6 - (Sum the digits in an integer) Write a method that...Ch. 6 - (Palindrome integer) Write the methods with the...Ch. 6 - (Display an integer reversed) Write a method with...Ch. 6 - (Sort three numbers) Write a method with the...Ch. 6 - (Display patterns) Write a method to display a...Ch. 6 - (Financial application: compute the future...Ch. 6 - (Conversions between Celsius and Fahrenheit) Write...Ch. 6 - Prob. 6.9PECh. 6 - (Use the isPrime Method) Listing 6.7,...Ch. 6 - (Financial application: compute commissions) Write...Ch. 6 - (Display characters) Write a method that prints...Ch. 6 - (Sum series) Write a method to compute the...Ch. 6 - (Estimate ) can be computed using the following...Ch. 6 - (Financial application: print a tax table) Listing...Ch. 6 - Prob. 6.16PECh. 6 - Sections 6.10 and 6.11 6.17 (Display matrix of 0s...Ch. 6 - (Check password) Some Websites impose certain...Ch. 6 - (Triangles) Implement the following two methods: /...Ch. 6 - (Count the letters in a string) Write a method...Ch. 6 - (Phone keypads) The international standard...Ch. 6 - (Math: approximate the square root) There are...Ch. 6 - (Occurrences of a specified character) Write a...Ch. 6 - (Display current date and time) Listing 2.7,...Ch. 6 - Prob. 6.25PECh. 6 - (Palindromic prime) A palindromic prime is a prime...Ch. 6 - (Emirp) An emirp (prime spelled backward) is a...Ch. 6 - (Mersenne prime) A prime number is called a...Ch. 6 - (Twin primes) Twin primes are a pair of prime...Ch. 6 - (Game: craps) Craps is a popular dice game played...Ch. 6 - (Financial: credit card number validation) Credit...Ch. 6 - (Game: chance of winning at craps) Revise...Ch. 6 - (Current date and time) Invoking System....Ch. 6 - (Print calendar) Programming Exercise 3.21 uses...Ch. 6 - (Geometry: area of a pentagon) The area of a...Ch. 6 - (Geometry: area of a regular polygon) A regular...Ch. 6 - (Format an integer) Write a method with the...Ch. 6 - (Generate random characters) Use the methods in...Ch. 6 - (Geomentry: point position) Programming Exercise...
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