Catch That Cow

Time Limit: 2000MS		Memory Limit: 65536K
Total Submissions: 37094		Accepted: 11466

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

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.

刚做的时候发生了很多奇异YY, 搞的我不知道重写了多少遍。。

从当前位置local，向local+1, local-1, local*2这三个方向扩展。

code：

#include 
     
      #include 
      
       #include
       
        #define N 100001using namespace std;int n, k, ans;bool vis[N];struct node {    int local, time;};void bfs() {    int t, i;    node now, tmp;    queue
        
          q;    now.local = n;    now.time = 0;    q.push(now);    memset(vis,false,sizeof(vis));    vis[now.local] = true;    while(!q.empty()) {        now = q.front();        q.pop();        for(i=0; i<3; i++) {            if(0==i) t = now.local-1;            else if(1==i) t = now.local+1;            else if(2==i) t = now.local*2;            if(t<0||t>N||vis[t]) continue;            if(t==k) {                ans = now.time+1;                return;            }            vis[t] = true;            tmp.local = t;            tmp.time = now.time+1;            q.push(tmp);        }    }}int main() {    while(~scanf("%d%d",&n,&k)) {        if(n>=k) printf("%d\n",n-k);        else {            bfs();            printf("%d\n",ans);        }    }}