Catch That Cow
Time Limit: 5000/2000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 14553 Accepted Submission(s): 4422
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?
* 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.1 #include<iostream> 2 #include<queue> 3 #include<string.h> 4 5 using namespace std; 6 7 int k; 8 int vis[100005]; 9 struct node 10 { 11 int data; 12 int step; 13 }; 14 node n; 15 int bfs() 16 { 17 queue<node>que; 18 que.push(n); 19 while(!que.empty()) 20 { 21 node p = que.front(); 22 que.pop(); 23 vis[p.data]=1; 24 if(p.data==k) 25 { 26 return p.step; 27 } 28 node q = p; 29 q.step++; 30 31 q.data = p.data*2; 32 if(q.data>=0 && q.data<=100000 && !vis[q.data]) 33 que.push(q); 34 q.data=p.data-1; 35 if(q.data>=0 && q.data<=100000 && !vis[q.data]) 36 que.push(q); 37 q.data=p.data+1; 38 if(q.data>=0 && q.data<=100000 && !vis[q.data]) 39 que.push(q); 40 41 } 42 return -1; 43 } 44 int main() 45 { 46 while(cin>>n.data>>k) 47 { 48 memset(vis,0,sizeof(vis)); 49 cout<<bfs()<<endl; 50 } 51 52 53 return 0; 54 }