poj--3278

Catch That Cow
Time Limit: 2000MS   Memory Limit: 65536K
Total Submissions: 65426   Accepted: 20554

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 - 1 or + 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.

解体思路:简单的bfs。

代码如下:
#include<stdio.h>
#include<queue>
#include<string.h>
using namespace std;
int n,k,ans;
struct stu{
	int x,t;
};
stu node[200000];
int vist[200000];
bool check(int x){
	if(vist[x]==1)return false;
	if(x<0)return false;
	if(x>=200000)return false;
	return true;
}
void bfs(int n){
	queue<stu >q;
	while(!q.empty()){
		q.pop();
	}
	stu temp,star;
	temp.x=n;temp.t=0;
	q.push(temp);
	while(!q.empty()){
	 star=q.front();
	 q.pop();
	  for(int i=1;i<=3;i++){
	  	if(i==1){
	  		temp.x=star.x+1;
	  		temp.t=star.t+1;
	  	}
	  	else if(i==2){
	  		temp.x=star.x-1;
	  		temp.t=star.t+1;
	  	}
	  	else if(i==3){
	  		temp.x=star.x*2;
	  		temp.t=star.t+1;
	  	}
	  	if(check(temp.x)){
	  		if(temp.x==k){
	  			ans=temp.t;
	  			return ;
	  		}
	  		q.push(temp);
	  		vist[temp.x]=1;
	  	}
	  }
	}
}
int main(){
	while(scanf("%d%d",&n,&k)!=EOF){
		memset(vist,0,sizeof(vist));
		vist[n]=1;
		bfs(n);
		printf("%d\n",ans);
	}
	return 0;
}


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