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 before the 1 is printed. 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.
(是i和j之间数的循环次数最大的)

#include<iostream>
using namespace std;
int bb(int i)
{ int count=1;
while(i!=1)
{
if(i%2==0)i/=2;
else i=i*3+1;
count ++; } return count; }
int main()
{ int a,b;
int q=0;
while(cin>>a>>b)
{
q++;
if(q>=10000)break;
int d=a>b?a:b;
int c=a<b?a:b;
int maxa=0;
for(int j=c;j<=d;j++)
{
int a1=bb(j);
if(maxa<a1)maxa=a1;
}
cout<<a<<" "<<b<<" "<<maxa<<endl; } return 0;
}

poj-1207 THE 3n+1 problem的更多相关文章

  1. OpenJudge/Poj 1207 The 3n + 1 problem

    1.链接地址: http://bailian.openjudge.cn/practice/1207/ http://poj.org/problem?id=1207 2.题目: 总时间限制: 1000m ...

  2. 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 ...

  3. 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 ...

  4. 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 ...

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

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

  6. 【转】UVa Problem 100 The 3n+1 problem (3n+1 问题)——(离线计算)

    // The 3n+1 problem (3n+1 问题) // PC/UVa IDs: 110101/100, Popularity: A, Success rate: low Level: 1 / ...

  7. 100-The 3n + 1 problem

    本文档下载 题目: http://uva.onlinejudge.org/index.php?option=com_onlinejudge&Itemid=8&page=show_pro ...

  8. PC/UVa 题号: 110101/100 The 3n+1 problem (3n+1 问题)

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

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

    100 - The 3n+1 problem (3n+1 问题) /* * 100 - The 3n+1 problem (3n+1 问题) * 作者 仪冰 * QQ 974817955 * * [问 ...

  10. classnull100 - The 3n + 1 problem

    新手发帖,很多方面都是刚入门,有错误的地方请大家见谅,欢迎批评指正  The 3n + 1 problem  Background Problems in Computer Science are o ...

随机推荐

  1. mongodb去除重复的数据(二)

    前天因为工作需要,开始着手对数据库中两千多万的数据中其中一个字段重复的数据进行去重. 原本使用一些测试的数据测试后,前天写的那个方法是可行的,但是当面对这个两千万的真实数据时,我却发现这方法有些不顶用 ...

  2. java.sql.SQLException:Invalid value for getInt()-'zhangsan'

    1.错误描述 java.sql.SQLException:Invalid value for getInt()-'zhangsan' 2.错误原因 在遍历打印查询结果时,rs.getInt(3),而在 ...

  3. hdu2262 Where is the canteen

    Where is the canteen Time Limit: 10000/5000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Ot ...

  4. freemarker中的split字符串分割(十六)

    1.简易说明 split分割:用来根据另外一个字符串的出现将原字符串分割成字符串序列 2.举例说明 <#--freemarker中的split字符串分割--> <#list &quo ...

  5. day9(Hash、字典)

    一.Hash 简介: Hash,一般被翻译成"散列",也有直接音译"哈希"的,就是把任意长度的输入,通过哈希算法,变换成固定长度的输出,输出的结果就叫做哈希值, ...

  6. Java中==与equals的区别及理解

    区别: "==" 比较的是两个引用在内存中指向的是不是同一对象(即同一内存空间),也就是说在内存空间中的存储位置是否一致. 如果两个对象的引用相同时(指向同一对象时)," ...

  7. 【BZOJ2818】Gcd(莫比乌斯反演)

    [BZOJ2818]Gcd(莫比乌斯反演) 题面 Description 给定整数N,求1<=x,y<=N且Gcd(x,y)为素数的 数对(x,y)有多少对. Input 一个整数N Ou ...

  8. 【BZOJ1216】操作系统(堆,模拟)

    [BZOJ1216]操作系统(堆,模拟) 题面 题目描述 写一个程序来模拟操作系统的进程调度.假设该系统只有一个CPU,每一个进程的到达时间,执行时间和运行优先级都是已知的.其中运行优先级用自然数表示 ...

  9. [BZOJ4804]欧拉心算

    题面戳我 题意:求 \[\sum_{i=1}^{n}\sum_{j=1}^{n}\phi(\gcd(i,j))\] 多组数据,\(n\le10^7\). sol SBT 单组数据\(O(\sqrt n ...

  10. [BZOJ1657] [Usaco2006 Mar] Mooo 奶牛的歌声 (单调栈)

    Description Farmer John's N (1 <= N <= 50,000) cows are standing in a very straight row and mo ...