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.
明明是一道BFS模板题,错了好多次,这大概就是菜逼把orz
#include <iostream>
#include <queue>
#define SIZE 100001
using namespace std;
queue<int>x;
bool visited[SIZE];
int step[SIZE];
int bfs(int n,int k)
{
int head, next;
x.push(n);
visited[n]=true;
step[n]=0;
while (!x.empty())
{
head = x.front();
x.pop();
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>SIZE||next<0) continue;
if (!visited[next])
{
x.push(next);
step[next] = step[head] + 1;
visited[next] = true;
}
if (next == k) return step[next];
}
}
}
int main()
{
int n, k;
cin>>n>>k;
if (n>=k)
{
cout<<n-k<<endl;
}
else
{
int f=bfs(n,k);
cout<<f<<endl;
}
return 0;
}