链接:https://ac.nowcoder.com/acm/problem/25080
来源:牛客网
来源:牛客网
题目描述
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?
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?
输入描述:
Line 1: Two space-separated integers: N and K
输出描述:
Line 1: The least amount of time, in minutes, it takes for Farmer John to catch the fugitive cow.
思路:求最短时间-->BFS,这是一道基本的BFS的题目,整个图相当于一个没有障碍物的一维图,所以结构体内只需要存储tmp(步数)和x(坐标)即可。
仍然可以用二维图的模板来解,稍微改一下就行了
代码如下:
#include<stdio.h>
#include<queue>
#include<math.h>
using namespace std;
int vis[100020],ans,N,K;
struct node{
int tmp,x;
};
queue<node>q;
void BFS(){
while(!q.empty()){
node temp=q.front();
q.pop();
if(temp.x==K){
ans=temp.tmp;
return;
}
for(int i=1;i<=3;i++){
int xx;
if(i==1){
xx=temp.x+1;
}
if(i==2){
xx=temp.x-1;
}
if(i==3){
xx=temp.x*2;
}
if(xx<0 || xx>100000 || vis[xx]) continue;
vis[xx]=1;
q.push(node{temp.tmp+1,xx});
}
}
}
int main(){
scanf("%d %d",&N,&K);
q.push(node{0,N});
BFS();
printf("%d\n",ans);
return 0;
}
#include<queue>
#include<math.h>
using namespace std;
int vis[100020],ans,N,K;
struct node{
int tmp,x;
};
queue<node>q;
void BFS(){
while(!q.empty()){
node temp=q.front();
q.pop();
if(temp.x==K){
ans=temp.tmp;
return;
}
for(int i=1;i<=3;i++){
int xx;
if(i==1){
xx=temp.x+1;
}
if(i==2){
xx=temp.x-1;
}
if(i==3){
xx=temp.x*2;
}
if(xx<0 || xx>100000 || vis[xx]) continue;
vis[xx]=1;
q.push(node{temp.tmp+1,xx});
}
}
}
int main(){
scanf("%d %d",&N,&K);
q.push(node{0,N});
BFS();
printf("%d\n",ans);
return 0;
}