HDU 1032 The 3n + 1 problem 【水题】

The 3n + 1 problem

Time Limit : 2000/1000ms (Java/Other)   Memory Limit : 65536/32768K (Java/Other)

Total Submission(s) : 5   Accepted Submission(s) : 2

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

   
   
   
   

 

Source

UVA

翻译：

输入两个数 a,b

输出这两个数

如果n=1 就STOP

如果n不是1 是奇数（odd） 则n=3*n+1

如果n不是1 是偶数 n=n/2

直到变成1 stop为止

一共变化的次数为sum

输出的第三个数字是在a,b之间 每个数变化sum次 找出最大的变化次数sum 输出

注意：

都在注释里面了

#include<stdio.h>
int main(void)
{
    int sum;
    int a,b;
    while(scanf("%d%d",&a,&b)!=EOF)
    {
        int k=0;
        int leng=0;
        if(a>b)//输入的数字可能一大一小顺序不要错了
        {
            int t;
            t=a;
            a=b;
            b=t;
            k=1;
        }
        for(int i=a;i<=b;i++)
        {
            sum=0;
            int ii=i;
            while(ii-1)
            {
                if(ii%2) ii=ii*3+1;
                else ii/=2;
                sum++;
            }
            if(sum>=leng)
            leng=sum;
        }
        if(k)
        {
            printf("%d %d %d\n",b,a,leng+1);//注意a与b交换位置的问题 没发现这个问题错了好多次
        }
        else
        printf("%d %d %d\n",a,b,leng+1);
    }
    return 0;
}