POJ 3278(bfs)
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Catch That Cow
Time Limit: 2000MS Memory Limit: 65536K
Total Submissions: 32679 Accepted: 10060
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<iostream>#include<queue>using namespace std;const int maxn=100001;int step[100000];int vis[100000];queue<int> q;int n,k;int bfs(int n,int k){ q.push(n); step[n]=0; vis[n]=1; while(!q.empty()){ int head,next; head=q.front(); q.pop(); for(int i=0;i<3;i++){ if(i==0) next=head-1; else if(i==1) next=head+1; else next=head*2; if(next<0 || next>maxn) continue; if(!vis[next]){ step[next]=step[head]+1; q.push(next); vis[next]=1; if(next==k) return step[next]; } } }}int main(){ while(cin >> n >> k){ while(!q.empty()) q.pop(); if(n>k) cout << n-k << endl; else cout <<bfs(n,k) << endl; } return 0;}
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