Problem1562--Catch That Cow (抓住那头牛)

1562: Catch That Cow (抓住那头牛)

Time Limit: 1 Sec  Memory Limit: 128 MB
Submit: 0  Solved: 0
[Submit] [Status] [Web Board] [Creator:]

Description

Farmer John has been informed of the location of a fugitive cow and wants to catch her immediately. He starts at a point N (0 ≤ N ≤ 100,000) on a number line and the cow is at a point K (0 ≤ K ≤ 100,000) on the same number line. Farmer John has two modes of transportation: walking and teleporting.



* Walking: FJ can move from any point X to the points X - 1 or X + 1 in a single minute
* Teleporting: FJ can move from any point X to the point 2 × X in a single minute.



If the cow, unaware of its pursuit, does not move at all, how long does it take for Farmer John to retrieve it?

Input

Line 1: Two space-separated integers: N and K 

Output

Line 1: The least amount of time, in minutes, it takes for Farmer John to catch the fugitive cow. 

Sample Input Copy

5 17

Sample Output Copy

4

Source/Category