Minimum Steps to One Problem
Explore how to determine the minimum steps to reduce any positive integer to one by using dynamic programming techniques. Understand why a greedy approach fails and learn to implement recursive solutions that optimize step count by evaluating all possible operations.
We'll cover the following...
We'll cover the following...
Problem statement
On a positive integer, you can perform any one of the following 3 steps:
1. Subtract 1 from it.
2. If it is divisible by 2, divide by 2.
3. If it is divisible by 3, divide by 3.
Given a positive integer n, find the minimum number of steps that takes n to 1.
Wait a second!! You might be thinking that this is a pretty simple problem. One can think of greedily choosing the step that makes n as low as possible and continues ...