HDOJ1032程序设计解题报告.doc

HDOJ The 3n + 1 problem 解题报告 队名： 队伍成员： 班级 学号 姓名 OJ网站：杭州电子科技大学Online Judge（/） 题号：1032 题目：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 n2. print n3. if n = 1 then STOP4. if n is odd then n - 3n + 15. else n - n / 26. GOTO 2Given 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 1It 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 whi