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. iOS 绕过https证书验证 请求数据

    HTTPS和HTTP: 1.https协议需要到ca申请证书,一般免费证书很少,需要交费. 2.http是超文本传输协议,信息是明文传输,https 则是具有安全性的ssl加密传输协议. 3.http ...

  2. SPOJ GSS7 Can you answer these queries VII ——树链剖分 线段树

    [题目分析] 问题放到了树上,直接链剖+线段树搞一搞. 调了300行+. (还是码力不够) [代码] #include <cstdio> #include <cstring> ...

  3. PHP实现当前文件夹下所有文件和文件夹的遍历

    <?php function myScandir($dir){ static $flag=''; //设置缩进显示格式 $files = scandir($dir);//读取当前文件夹的文件 $ ...

  4. COdevs 2823 锁妖塔

    2823 锁妖塔 时间限制: 1 s 空间限制: 128000 KB 题目等级 : 黄金 Gold 题目描述 Description 琐妖塔会在一会儿后倒塌.大量妖魔涌出塔去,塔内的楼梯都挤满了人(哦 ...

  5. 【2017YYHS WC】

    因为本葳蕤分数太低去不了WC,只能同去WC的各位大爷一起训练一波,就称作是YYHS WC吧,其实就是WC难度的多校 day1:早上8:30考的试,下午1:00去吃中饭 T1:考场打得暴力结果矩阵乘法后 ...

  6. [MFC] CFile读写文件实现(高效)

    1.文件写入 void CMFCApplication1Dlg::Write() { CFile file; CString FileName = "D:\\100w.txt"; ...

  7. 标准C程序设计七---05

    Linux应用             编程深入            语言编程 标准C程序设计七---经典C11程序设计    以下内容为阅读:    <标准C程序设计>(第7版) 作者 ...

  8. R语言入门-画图(二)--heatmap

    一.函数参数: pheatmap参数: treeheight_row #横有多长 treeheight_col #竖有多长 cluster_cols=FLASE #单一方向聚类,也就是只有一边有树状结 ...

  9. ftrace笔记

    mount -t debugfs nodev /sys/kernel/debug 在mount后,可以在debug目录下看到tracing目录,该目录包含了ftrace的控制与输出文件. (1) en ...

  10. Day 13 Python 一之helloworld

    直接肝程序吧! """ # 作业六:用户登录测试(三次机会) count = 1 while count <= 3: user = input('请输入用户名: ' ...