For this question, you will write a program that prompts the user to enter an integer value between 1 and 1000 (exclusive). Your program should then print out a sequence of numbers between the given value and 1 (inclusive) following the pattern below: For a given number ai, If ai is even, then ai+1 = floor(ai / 2) If ai is odd, then ai+1 = 3ai + 1 Your program should stop printing numbers once the sequence reaches the value of 1. If the user enters a number that is not between 1 and 1000 (exclusive), print "Invalid input." and prompt the user for a number again. This sequence is referred to as the Collatz sequence. The Collatz Conjecture states that this sequence will eventually reach the value of 1 for any starting number, a fact that has not yet been proven by modern mathematics! Note: floor(x) means that x should be rounded down to the nearest integer.
For this question, you will write a program that prompts the user to enter an integer value between 1 and 1000 (exclusive). Your program should then print out a sequence of numbers between the given value and 1 (inclusive) following the pattern below: For a given number ai, If ai is even, then ai+1 = floor(ai / 2) If ai is odd, then ai+1 = 3ai + 1 Your program should stop printing numbers once the sequence reaches the value of 1. If the user enters a number that is not between 1 and 1000 (exclusive), print "Invalid input." and prompt the user for a number again. This sequence is referred to as the Collatz sequence. The Collatz Conjecture states that this sequence will eventually reach the value of 1 for any starting number, a fact that has not yet been proven by modern mathematics! Note: floor(x) means that x should be rounded down to the nearest integer.
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Question
For this question, you will write a
For a given number ai,
- If ai is even, then ai+1 = floor(ai / 2)
- If ai is odd, then ai+1 = 3ai + 1
Your program should stop printing numbers once the sequence reaches the value of 1.
If the user enters a number that is not between 1 and 1000 (exclusive), print "Invalid input." and prompt the user for a number again.
This sequence is referred to as the Collatz sequence. The Collatz Conjecture states that this sequence will eventually reach the value of 1 for any starting number, a fact that has not yet been proven by modern mathematics!
Note: floor(x) means that x should be rounded down to the nearest integer.
Transcribed Image Text:For this question, you will write a program that prompts the user to enter an integer value between 1 and 1000 (exclusive). Your program
should then print out a sequence of numbers between the given value and 1 (inclusive) following the pattern below:
For a given number a₁,
●
ai+1 =
●
If a; is odd, then a₁+1 = 3a₁ + 1
Your program should stop printing numbers once the sequence reaches the value of 1.
If the user enters a number that is not between 1 and 1000 (exclusive), print "Invalid input." and prompt the user for a number again.
This sequence is referred to as the Collatz sequence. The Collatz Conjecture states that this sequence will eventually reach the value of 1
for any starting number, a fact that has not yet been proven by modern mathematics!
Note: floor(x) means that x should be rounded down to the nearest integer.
Sample run 1:
If a; is even, then
Enter a value between 1 and 1000:
10
10
16
4
floor(a;/2)
1
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