Reduce N To 1

easy

Bit Manipulation

Question Solve Solutions

1. You are given a positive number N.
2. You have to find the minimum number of operations required to convert N into 1.
3. Operations allowed :
     (i)  If n is even, you have to replace n with n/2.
     (ii) If n is odd, you can replace n with either n-1 or n+1.

Input Format

A number N

Output Format

Check the sample ouput and question video.

Constraints

1 &lt;= N &lt;= 2147483647

Notice

Try First, Check Solution later

1. You should first read the question and watch the question video.
2. Think of a solution approach, then try and submit the question on editor tab.
3. We strongly advise you to watch the solution video for prescribed approach.

Example

Input

Output

Pepcoder And Bits

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