前往小程序,Get更优阅读体验!
立即前往
首页
学习
活动
专区
工具
TVP
发布
社区首页 >专栏 >uva----(10794) A Different Task

uva----(10794) A Different Task

作者头像
Gxjun
发布2018-03-22 13:52:14
6000
发布2018-03-22 13:52:14
举报
文章被收录于专栏:mlmlml

A Different Task

The (Three peg) Tower of Hanoi problem is a popular one in computer science. Briefly the problem is to transfer all the disks from peg-A to peg-C using peg-B as intermediate one in such a way that at no stage a larger disk is above a smaller disk. Normally, we want the minimum number of moves required for this task. The problem is used as an ideal example for learning recursion. It is so well studied that one can find the sequence of moves for smaller number of disks such as 3 or 4. A trivial computer program can find the case of large number of disks also.

Here we have made your task little bit difficult by making the problem more flexible. Here the disks can be in any peg initially.

If more than one disk is in a certain peg, then they will be in a valid arrangement (larger disk will not be on smaller ones). We will give you two such arrangements of disks. You will have to find out the minimum number of moves, which will transform the first arrangement into the second one. Of course you always have to maintain the constraint that smaller disks must be upon the larger ones.

Input 

The input file contains at most 100 test cases. Each test case starts with a positive integer N ( 1N60), which means the number of disks. You will be given the arrangements in next two lines. Each arrangement will be represented by N integers, which are 12 or 3. If the i-th ( 1iN) integer is 1, you should consider that i-th disk is on Peg-A. Input is terminated by N = 0. This case should not be processed.

Output 

Output of each test case should consist of a line starting with `Case #: ' where # is the test case number. It should be followed by the minimum number of moves as specified in the problem statement.

Sample Input 

3
1 1 1
2 2 2
3
1 2 3
3 2 1
4
1 1 1 1
1 1 1 1
0

Sample Output 

Case 1: 7
Case 2: 3
Case 3: 0

 代码:

 1 #include<cstdio>
 2 const int maxn =70;
 3 int n,start[maxn],finish[maxn];
 4 long long Func(int *p,int i,int final)
 5 {
 6     if(i==0) return 0;
 7     if(p[i]==final) return Func(p,i-1,final);
 8     return Func(p,i-1,6-p[i]-final)+(1LL<<(i-1));
 9 }
10 int main()
11 {
12     int kase=0;
13     while(scanf("%d",&n)==1&&n)
14     {
15       for(int i=1;i<=n;i++)
16             scanf("%d",&start[i]);
17       for(int i=1;i<=n;i++)
18           scanf("%d",&finish[i]);
19       int k=n;
20       while(k>=1 && start[k]==finish[k])k--;
21       
22       long long ans=0;
23       if(k>=1)
24       {
25           int other=6-start[k]-finish[k];
26           ans =Func(start,k-1,other)+Func(finish,k-1,other)+1;
27       }
28       printf("Case %d: %lld\n",++kase,ans);
29     }
30 }

Problem setter: Md. Kamruzzaman

Special Thanks: Derek Kisman (Alternate Solution), Shahriar Manzoor (Picture Drawing)


Miguel Revilla 2004-12-10

本文参与 腾讯云自媒体分享计划,分享自作者个人站点/博客。
原始发表:2014-08-04 ,如有侵权请联系 cloudcommunity@tencent.com 删除

本文分享自 作者个人站点/博客 前往查看

如有侵权,请联系 cloudcommunity@tencent.com 删除。

本文参与 腾讯云自媒体分享计划  ,欢迎热爱写作的你一起参与!

评论
登录后参与评论
0 条评论
热度
最新
推荐阅读
目录
  • Input 
  • Output 
  • Sample Input 
  • Sample Output 
领券
问题归档专栏文章快讯文章归档关键词归档开发者手册归档开发者手册 Section 归档