POJ(3278)Catch That Cow
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Catch That Cow
Time Limit: 2000MS Memory Limit: 65536KTotal Submissions: 74588 Accepted: 23516
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.
一个人追一头牛,给出人的位置,与走法,问人能多少秒追到牛:
简单搜索bfs
#include <iostream>#include<algorithm>#include<stdio.h> #include <string.h> #include <queue> using namespace std; int h[1000010],v[1000010],n,k; void bfs() { memset(v,0,sizeof(v)); queue<int>q; q.push(n); v[n]=1; h[n]=0; while(!q.empty()) { int temp=q.front(); q.pop(); if(temp+1==k||temp-1==k||temp*2==k) { h[k]=h[temp]+1; break; } if(temp-1>=0&&!v[temp-1]) { q.push(temp-1); v[temp-1]=1; h[temp-1]=h[temp]+1; } if(temp+1<=1000000&&!v[temp+1]) { q.push(temp+1); v[temp+1]=1; h[temp+1]=h[temp]+1; } if(temp*2<=1000000&&!v[temp*2]) { q.push(temp*2); v[temp*2]=1; h[temp*2]=h[temp]+1; } } } int main() { while(~scanf("%d%d",&n,&k)) { if(n==k) { printf("0\n"); continue; } else bfs(); printf("%d\n",h[k]); } return 0; }
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