Catch That Cow
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Catch That Cow Time Limit: 2000MS Memory Limit: 65536K Total Submissions: 40350 Accepted: 12560
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 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.
最典型的搜索,用了一个结构体存步数和位置,用队列比较好理解,从n开始向下一层一层的遍历,进队,判断,出队。别忘了判重
#include<iostream>#include<queue>#include<algorithm>#include<string.h>using namespace std;int vis[100010];struct x{ int loc; int step;};queue<x>q; int N,K;int bfs(){ x a; a.loc=N; a.step=0; q.push(a); vis[N]=1; while(!q.empty()) { x t=q.front(); q.pop(); if(K==t.loc) { return t.step; } else { x temp; if(t.loc-1>=0&&!vis[t.loc-1]) { temp.loc=t.loc-1; temp.step=t.step+1; q.push(temp); vis[temp.loc]=1; } if(t.loc+1<=100010&&!vis[t.loc+1]) { temp.loc=t.loc+1; temp.step=t.step+1; q.push(temp); vis[temp.loc+1]=1; } if(t.loc*2<=100010&&!vis[t.loc*2]) { temp.loc=t.loc*2; temp.step=t.step+1; q.push(temp); vis[temp.loc*2]=1; } } } return -1;}int main(){ int i,j,k; int temp; cin>>N>>K; memset(vis,0,sizeof(vis)); cout<<bfs()<<endl; return 0;}
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