Catch That Cow
HDU - 2717
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.
农夫约翰已被告知一头逃亡母牛的位置,并希望立即抓住她。他从数轴上的点 N (0 ≤ N ≤ 100,000) 开始,而奶牛在同一数轴上的点 K (0 ≤ K ≤ 100,000) 处。Farmer John 有两种交通方式:步行和传送。* 行走:FJ 可以在一分钟内从 X 点移动到 X - 1 或 X + 1 点
* 传送:FJ 可以在一分钟内 从 X 点移动到 2 × X 点。
如果母牛不知道它的追逐,根本不动,农夫约翰需要多长时间才能取回它?
输入
第 1 行:两个空格分隔的整数:N 和 K
输出
第 1 行:Farmer John 抓住逃亡母牛所需的最少时间(以分钟为单位)。
Sample Input
5 17
Sample Output
4