Answered: Given a positive integer 'n', find and…

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

Given a positive integer 'n', find and return the minimum number of steps that 'n' has to take to get reduced to 1. You can perform any one of the following 3 steps:
1.) Subtract 1 from it. (n = n - 1) ,
2.) If its divisible by 2, divide by 2.( if n % 2 == 0, then n = n / 2 ) ,
3.) If its divisible by 3, divide by 3. (if n % 3 == 0, then n = n / 3 ).
Write brute-force recursive solution for this.
Input format :
The first and the only line of input contains an integer value, 'n'.
Output format :
Print the minimum number of steps.
Constraints :
1 <= n <= 200

Time Limit: 1 sec
Sample Input 1 :
4
Sample Output 1 :
2
Explanation of Sample Output 1 :
For n = 4
Step 1 : n = 4 / 2 = 2
Step 2 : n = 2 / 2 = 1
Sample Input 2 :
7
Sample Output 2 :
3
Explanation of Sample Output 2 :
For n = 7
Step 1 : n = 7 - 1 = 6
Step 2 : n = 6 / 3 = 2
Step 3 : n = 2 / 2 = 1
Solution
Dp///.

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