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.
看了题解才知道用bfs,刚开始用dfs一直不行…
代码:
#include <cstdio>
#include <algorithm>
#include <queue>
#include <cstring>
using namespace std;
const int MAXN=100005;
queue<int> q;
int step[MAXN];
bool vis[MAXN];
int head;
int next;
int n;
int k;
//队列实现广搜
int bfs(){
//第一个节点入队
q.push(n);
step[n]=0;
vis[n]=true;
while(!q.empty()){
//取出队首
head=q.front();
q.pop();
//三种走的方式
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;
}
//该点还没访问过,入队
if(!vis[next]){
q.push(next);
//多了一步
step[next]=step[head]+1;
vis[next]=true;
}
//走到奶牛处
if(next==k){
return step[next];
}
}
}
}
int main(void){
while(~scanf("%d%d",&n,&k)){
memset(step,0,sizeof(step));
memset(vis,false,sizeof(vis));
while(!q.empty()){
q.pop();
}
//只能一步一步往回走
if(n>=k){
printf("%d\n",n-k);
}
else{
printf("%d\n",bfs());
}
}
return 0;
}