• POJ 3278 Catch That Cow(模板——BFS)


    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

    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.
    题意描述:
    输入人和牛在坐标轴上的位置
    按照人寻找的三种走路方式,问最短抓到牛的时间。
    解题思路:
    搜索题,求最短时间,使用BFS更合适一点。另外需要注意:
       走过的点是不需要重复走的,因为既然走过就证明牛不在这个点,所以使用book数组标记一下就不会出现超内存(扩展无用点)和超时啦。
    AC代码:
     1 #include<stdio.h>
     2 
     3 int bfs(int n,int k);
     4 struct node
     5 {
     6     int x,s;
     7 };
     8 struct node q[400010];
     9 int book[100001];//标记数组,否则超内存 
    10 
    11 int main()
    12 {
    13     int n,k;
    14     while(scanf("%d%d",&n,&k) != EOF)
    15     {
    16         if(n==k)
    17         printf("0
    ");
    18         else
    19         printf("%d
    ",bfs(n,k));
    20     }
    21     return 0;
    22 }
    23 int bfs(int n,int k)
    24 {
    25     int i,head,tail,tx;
    26     head=1;
    27     tail=1;
    28     q[tail].x=n;
    29     q[tail].s=0;
    30     book[n]=1;
    31     tail++;
    32     
    33     while(head < tail)
    34     {
    35         for(i=1;i<=3;i++)
    36         {
    37             if(i==1)
    38             tx=q[head].x-1;
    39             if(i==2)
    40             tx=q[head].x+1;
    41             if(i==3)
    42             tx=q[head].x*2;
    43             
    44             if(tx < 0 || tx > 100000)
    45                 continue;
    46             if(!book[tx])
    47             {
    48                 book[tx]=1;
    49                 q[tail].x=tx;
    50                 q[tail].s=q[head].s+1;
    51                 tail++;
    52                 
    53                 if(tx == k)
    54                     return q[tail-1].s;    
    55             }
    56         }
    57         head++;
    58     }
    59 }
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  • 原文地址:https://www.cnblogs.com/wenzhixin/p/7400310.html
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