POJ 3278 Catch That Cow

本文解决POJ3278抓牛问题,介绍了一头牛和一个人在一维坐标上的位置,通过三种移动方式(左右移动和坐标值翻倍)来捕捉牛的方法。使用广度优先搜索算法(BFS)寻找最短路径。

POJ 3278 Catch That Cow

题目链接http://poj.org/problem?id=3278

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

题意:

给你一个人在一维坐标的坐标点,给一头牛ude坐标。对于人有三种操作,往左走,往右走,坐标值*2走法。每种操作时间加一。问最短多久catch这头牛。

题解:

用的bfs注意设置阈值。免得爆了。

有个比较迷的地方就是bfs里面的队列开在全局那么在bfs结尾没有返回值能过,或者队列开在bfs里面,在bfs函数最后随便返回一个值也能过。但是队列开在bfs里面并且结尾没有返回值则W。

代码:

#include <iostream>
#include <cstdio>
#include <cstring>
#include <string>
#include <algorithm>
#include <queue>
using namespace std;
bool vis[223456];
int step[223456];
int n,k;
queue <int> q;
int bfs()
{
    
    q.push(n);
    vis[n] = 1;
    step[n] = 0;
    while (!q.empty()){
        int temp = q.front();
        q.pop();
        int temp1;
        for (int i = 1;i <= 3;i++){
            if (i == 1)
                temp1 = temp + 1;
            else if (i == 2)
                temp1 = temp - 1;
            else if (i == 3)
                temp1 = temp * 2;

            if (temp1 > 110000 || temp1 < 0)
                continue;
            if (!vis[temp1]){
                vis[temp1] = 1;
                step[temp1] = step[temp] + 1;
                q.push(temp1);
            }
            if (temp1 == k)
                return step[k];
        }
    }
}
int main(int argc, char const *argv[])
{
    while (cin>>n>>k){
        memset(vis,0,sizeof(vis));
        int ans ;
        if (n < k)
            ans = bfs();
        else ans = n - k;
        cout<<ans<<endl;
    }
    return 0;
}

转载于:https://www.cnblogs.com/thecoollight/p/5510797.html

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