描述:
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.
题意:
农民和奶牛各在一个地方,农民可以通过+1,-1,*2来移动,每走一步用时一分钟,问移动到奶牛所在的位置需要多久。
题解:
广搜,分别进行+1,-1,*2操作,存入队列。
代码:
#include <iostream>
#include <stdio.h>
#include <string.h>
#include <queue> using namespace std;
queue<int>q;
int a,b;
bool vis[];
int step[]; int bfs()
{
int u,v;
q.push(a);
step[a]=;
vis[a]=true;
while(!q.empty())
{
u=q.front();
q.pop();
for(int i=;i<;i++)
{
if(i==) v=u+;
else if(i==) v=u-;
else v=u*;
if(v>=||v<) continue;
if(!vis[v])
{
step[v]=step[u]+;
vis[v]=true;
q.push(v);
}
if(v==b) return step[v];
}
}
return -;
} int main()
{
while(cin>>a>>b)
{
memset(step,,sizeof(step));
memset(vis,false,sizeof(vis));
while(!q.empty()) q.pop();
if(a>=b) printf("%d\n",a-b);
else
{
int ans=bfs();
cout<<ans<<endl;
}
}
return ;
}