Y has \(n\) lines of code and want to move the \(n\)th line of code to the \(i\)th line of code.
Y can use two methods for this work:

• First, Y can press Ctr + x (two keys) and cut the \(n\)th line of code, then move the cursor to the \(i\)th line pressing up key \(n-i\) times and then paste the \(n\)th line using Ctr + v (two keys).
• Second, Y can press Ctr + up (two keys) \(n-i\) times.

What is the minimum number of keys that Y has to press?

Input
The only line of input is \(n\) and \(i\) separated by space.

\(1 \leq i \leq n \leq 10^9\)

Output

A single line, the minimum number of keys that Y has to press to do the job.