Catch That Cow

Time Limit: 5000/2000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)

Total Submission(s): 10820    Accepted Submission(s): 3374

Problem 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.

 

#include 
    
     #include 
     
      #include 
      
       using namespace std;struct node {	int x,step;}temp, p;bool vis[10000005];int d[2] = {1,-1};int bfs(int a, int b){	memset(vis,false,sizeof(vis));	queue
       
         q;	while (!q.empty())   q.pop();	p.x = a;	p.step = 0;	q.push(p);	vis[a] = true;	while (q.size()) {		p = q.front();		q.pop();		if(p.x == b)  return p.step;		for(int i = 0; i < 3; i++) {			if (i == 2)	 temp.x = p.x * 2;			else	temp.x = p.x + d[i];			if (temp.x < 0 || vis[temp.x] || temp.x>100000)	continue;			vis[temp.x] = true;			temp.step = p.step + 1;			q.push(temp);		}	}	return -1;}int main(){	int n, k;	while (scanf("%d %d", &n, &k) != EOF)	{		int ans = bfs(n,k);		printf("%d\n", ans);	}	return 0;}