Min Steps To 1

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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 n is divisible by 2, divide by 2.( if n % 2 == 0, then n = n / 2 ) ,
3.) If n is divisible by 3, divide by 3. (if n % 3 == 0, then n = n / 3 ).
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 <= 10 ^ 6
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

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