Catch That Cow(抓住那头牛)
2017-03-28 21:50
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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
Sample Output
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.
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> #include<cstring> using namespace std; #define Max 100000 int visited[Max]; struct Way{ int x; int time; Way(int x1,int time1) { x=x1; time=time1; } }; int main() { ios::sync_with_stdio(false); int N,K; memset(visited,0,sizeof(visited)); queue <Way> cow; cin>>N>>K; cow.push(Way(N,0)); visited =1; while(!cow.empty()) { Way s=cow.front(); if(s.x==K) { cout<<s.time<<endl; break; } else { if(s.x-1>=0&&!visited[s.x-1])//左移一位 { cow.push(Way(s.x-1,s.time+1)); visited[s.x-1]=1; } if(s.x+1<=Max&&!visited[s.x+1])//右移一位 { cow.push(Way(s.x+1,s.time+1)); visited[s.x+1]=1; } if(s.x*2<=Max&&!visited[s.x*2])//直接到达2*x点 { cow.push(Way(s.x*2,s.time+1)); visited[s.x*2]; } } cow.pop(); } return 0; }
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