From A to B
You are given two integers, $a$ and $b$. You want to transform $a$ to $b$ by performing a sequence of operations. You can only perform the following operations:

Divide $a$ by two (only if $a$ is even)

Add one to $a$
What is the minimum number of these operations you need to transform $a$ into $b$?
Input
The single line of input contains two spaceseparated integers $a$ and $b$ ($1\le a,b \le 10^9$). You want to transform $a$ into $b$ using only the operations given above.
Output
Output a single integer, which is the minimum number of the given operations needed to transform $a$ into $b$.
Sample Input 1  Sample Output 1 

103 27 
4 
Sample Input 2  Sample Output 2 

3 8 
5 