The 3n + 1 problem

Problem Description
Problems in Computer Science are often classified as belonging to a certain class of problems (e.g., NP, Unsolvable, Recursive). In this problem you will be analyzing a property of an algorithm whose classification is not known for all possible inputs.



Consider the following algorithm: 





    1.      input n



    2.      print n



    3.      if n = 1 then STOP



    4.           if n is odd then n <- 3n + 1



    5.           else n <- n / 2



    6.      GOTO 2





Given the input 22, the following sequence of numbers will be printed 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1 



It is conjectured that the algorithm above will terminate (when a 1 is printed) for any integral input value. Despite the simplicity of the algorithm, it is unknown whether this conjecture is true. It has been verified, however, for all integers n such that
0 < n < 1,000,000 (and, in fact, for many more numbers than this.) 



Given an input n, it is possible to determine the number of numbers printed (including the 1). For a given n this is called the cycle-length of n. In the example above, the cycle length of 22 is 16. 



For any two numbers i and j you are to determine the maximum cycle length over all numbers between i and j. 
 
Input
The input will consist of a series of pairs of integers i and j, one pair of integers per line. All integers will be less than 1,000,000 and greater than 0. 



You should process all pairs of integers and for each pair determine the maximum cycle length over all integers between and including i and j. 



You can assume that no opperation overflows a 32-bit integer.
 
Output
For each pair of input integers i and j you should output i, j, and the maximum cycle length for integers between and including i and j. These three numbers should be separated by at least one space with all three numbers on one line and with one line of output
for each line of input. The integers i and j must appear in the output in the same order in which they appeared in the input and should be followed by the maximum cycle length (on the same line). 
 
Sample Input
1 10
100 200
201 210
900 1000
 
Sample Output
1 10 20
100 200 125
201 210 89
900 1000 174
 
让你怎么做你就怎么做。

预计数据弱,不然直接做应该会超时(本来想写优化来着,没想到这题数据这么弱······)。

代码例如以下:

#include<cstdio>
int main(){
int n,m;
while(scanf("%d%d",&n,&m)==2){
int maxn=n>m?n:m;//没说n和m的大小,坑啊! int minx=n>m?m:n;
int maxx=0;
for(int i=minx;i<=maxn;i++){//总感觉这样会超时。看来数据不强啊
int x=i,sum=1;
while(x!=1){
if(x%2==0) x/=2;
else x=3*x+1;
sum++;
}
if(sum>maxx) maxx=sum;
}
printf("%d %d %d\n",n,m,maxx);
}
return 0;
}


HDU 1032.The 3n + 1 problem【注意细节】【预计数据不强】【8月21】的更多相关文章

  1. HDU 1032 The 3n + 1 problem (这个题必须写博客)

    The 3n + 1 problem Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Other ...

  2. 题解报告:hdu 1032 The 3n + 1 problem(克拉兹问题)

    题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=1032 Problem Description Problems in Computer Science ...

  3. HDU 1032 The 3n + 1 problem

    还以为要递归推一推的 结果暴力就过了 要注意 i,j 大小 #include <iostream> using namespace std; int a,b; long long cnt, ...

  4. 杭电OJ——1032 The 3n + 1 problem

    The 3n + 1 problem Problem Description Problems in Computer Science are often classified as belongin ...

  5. HDU 1031.Design T-Shirt【结构体二次排序】【8月21】

    Design T-Shirt Problem Description Soon after he decided to design a T-shirt for our Algorithm Board ...

  6. 烟大 Contest1024 - 《挑战编程》第一章:入门 Problem A: The 3n + 1 problem(水题)

    Problem A: The 3n + 1 problem Time Limit: 1 Sec  Memory Limit: 64 MBSubmit: 14  Solved: 6[Submit][St ...

  7. UVa 100 - The 3n + 1 problem(函数循环长度)

    题目来源:https://uva.onlinejudge.org/index.php?option=com_onlinejudge&Itemid=8&category=3&pa ...

  8. The 3n + 1 problem 分类: POJ 2015-06-12 17:50 11人阅读 评论(0) 收藏

    The 3n + 1 problem Time Limit: 1000MS   Memory Limit: 10000K Total Submissions: 53927   Accepted: 17 ...

  9. uva----(100)The 3n + 1 problem

     The 3n + 1 problem  Background Problems in Computer Science are often classified as belonging to a ...

随机推荐

  1. Convolution Fundamental II

    Practical Advice Using Open-Source Implementation We have learned a lot of NNs and ConvNets architec ...

  2. [android开发篇][android studio 和elipse都需要的流程 android sdk的安装

    第三步.下载并安装AndroidSDK 前面两步,我们已经配置了JDK变量环境,并安装好了Eclipse,通过这两步之后Java的开发环境就准备好了,如果我们只是开发普通的JAVA应用程序的话,那么到 ...

  3. 【HTML/XML 2】XML基础知识点总结

    导读:刚开始看到这个名的时候,还以为会和HTML一样呢,结果看完了资料里的视频,才发现是各有千秋.现在,就对XML的基础知识,做一个总结. 一.总体概述 XML(Extensible Markup L ...

  4. Unity3D for iOS初级教程:Part 3/3

    转自Unity 3D for iOS 这篇文章还可以在这里找到 英语 Learn how to use Unity to make a simple 3D iOS game! 这份教程是由教程团队成员 ...

  5. MongoDB_java连接MongoDB

    java程序连接单机版的mongodb: 参考:http://www.runoob.com/mongodb/mongodb-java.html https://www.yiibai.com/mongo ...

  6. Resin Thread Dump

    [2015/08/25 20:50:13.254] {ThreadLauncher2[ThreadPool[system]]-1} Thread Dump generated Tue Aug 25 2 ...

  7. 更改navigationBar 颜色

    
 
 if (IS_IOS7()) { /* iOS7 时 Navigation 颜色 */ [[UINavigationBar appearance] setBarTintColor: HexCo ...

  8. hdu 1224 最长路

    开始用dijkstra直接求,发现不行,算法问题(1-2,(30),2-4(20),1--3(10),3--4(100)最后一个点无法更新,导致错误),后用取负,加大数法也没过. 现在(寒假了):求负 ...

  9. OC-Runtime温故知新

    每个java应用程序都有一个runtime类实例,使应用程序能够与其运行的环境相连接.可以通过getRuntime 方法获取当前运行时,应用程序不能自己创建runtime类实例.Runtime 没有构 ...

  10. commons.apache

    1.ToStringBuilder //对象及其属性一行显示 System.out.println(ToStringBuilder.reflectionToString(u)); System.out ...