POJ3278--Catch That Cow
2013-02-25 23:30
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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
Sample Output
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
#include <iostream> #include <cstdio> #include <queue> #include <cstring> #include <string> using namespace std; #define maxn 200008 //注意这里开大些。不然2*之后可能越界。。贡献了一次runtime error int dis[maxn]; int main() { int n,k; while(scanf("%d%d",&n,&k)==2) { memset(dis,0x3f,sizeof(dis)); dis =0; queue <int> q; q.push(n); while(!q.empty()) { int p=q.front(); q.pop(); if(p==k) break; if(p>=1&&dis[p]+1<dis[p-1]) { q.push(p-1); dis[p-1]=dis[p]+1; } if(p<k&&dis[p]+1<dis[p+1]) { q.push(p+1); dis[p+1]=dis[p]+1; } if(p<k&&dis[p]+1<dis[2*p]) { q.push(2*p); dis[2*p]=dis[p]+1; } } cout<<dis[k]<<endl; } return 0; }
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