Asked by Ashley Combs on Jul 19, 2024
Verified
What is the first step in the Tower of Hanoi recursive algorithm?
A) Move the top n disks from needle 1 to needle 2, using needle 3 as the intermediate needle.
B) Move disk number n from needle 1 to needle 3.
C) Move the top n - 1 disks from needle 2 to needle 3, using needle 1 as the intermediate needle.
D) Move the top n - 1 disks from needle 1 to needle 2, using needle 3 as the intermediate needle.
Tower Of Hanoi
The Tower of Hanoi is a mathematical puzzle that consists of three pegs and a number of disks of different sizes which can slide onto any peg, with the objective being to move all the disks from one peg to another, obeying certain rules.
Recursive Algorithm
An algorithm that solves a problem by repeatedly calling itself with modified parameters until a base condition is met.
- Gain insight into the utilization of recursive algorithms for addressing specific issues, including the Tower of Hanoi and the aggregation of values within an array.
Verified Answer
SS
Shivansh SharmaJul 24, 2024
Final Answer :
D
Explanation :
The first step in the Tower of Hanoi recursive algorithm is to move the top n - 1 disks from needle 1 to needle 2, using needle 3 as the intermediate needle. This is because in order to move the largest disk from needle 1 to needle 3, we need to first clear all smaller disks from the top of needle 1, which we can do by moving them to needle 2.
Learning Objectives
- Gain insight into the utilization of recursive algorithms for addressing specific issues, including the Tower of Hanoi and the aggregation of values within an array.