Asked by Angie Brown on May 29, 2024
Verified
Using a recursive algorithm to solve the Tower of Hanoi problem, a computer that can generate one billion moves per second would take ____ years to solve the problem.
A) 39
B) 400
C) 500
D) 10,000
Tower Of Hanoi
A mathematical puzzle consisting of three rods and a number of disks of different sizes which need to be moved from one rod to another under specific rules.
Years
Units of time representing a period of approximately 365 days or 12 months, used to measure duration or age.
- Comprehend the application of recursive algorithms in resolving particular challenges, such as the Tower of Hanoi or calculating the sum of array elements.
Verified Answer
NN
Nicole NunezJun 01, 2024
Final Answer :
C
Explanation :
The Tower of Hanoi problem with n disks can be solved in 2^n - 1 moves. For a large number of disks, this number becomes very large. For example, with 64 disks, it would take 2^64 - 1 moves. At a rate of one billion moves per second (10^9 moves/second), it would take approximately 500 years to solve, as the calculation shows: (2^64 - 1) / (10^9 * 60 * 60 * 24 * 365) ≈ 500 years.
Learning Objectives
- Comprehend the application of recursive algorithms in resolving particular challenges, such as the Tower of Hanoi or calculating the sum of array elements.