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 - 1 or + 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

5 17

Sample Output

4

Hint

The fastest way for Farmer John to reach the fugitive cow is to move along the following path: 5-10-9-18-17, which takes 4 minutes.

三个搜索方向 +1, -1, *2  用bfs搜索 数组要开到最大值的2倍 注意剪枝和边界问题

#include <iostream>
#include <stdio.h>
#include <queue>
#include <cstring>
using namespace std; const int Max = ;
int s, e;
struct node
{
int x, step;
}now, Next;
bool v[];
queue<node>q; int bfs()
{
now.x = s;
now.step = ;
v[s] = ;
q.push(now);
while (!q.empty()) {
now = q.front();
q.pop();
if (now.x == e)
return now.step; Next.x = now.x*;
Next.step = now.step+;
if (Next.x >= && Next.x <= Max && !v[Next.x]){
q.push(Next);
v[Next.x] = ;
} Next.x = now.x-;
Next.step = now.step+;
if (Next.x >= && Next.x <= Max && !v[Next.x]){
q.push(Next); //若先检查v[Next.x] 会出现数组越界v[-1]的情况
v[Next.x] = ;
} Next.x = now.x+;
Next.step = now.step+;
if (Next.x >= && Next.x <= Max && !v[Next.x]){
q.push(Next);
v[Next.x] = ;
} }
return ;
} int main()
{
//freopen("1.txt", "r", stdin);
cin >> s >> e;
memset(v, , sizeof(v));
cout << bfs(); return ;
}

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