华南理工大学第一届程序设计竞赛比赛试题.doc

华南理工大学首届大学生程序设计竞赛SCUTCPC 试题 Problem A IP Address Submit file ipaddress.c / ipaddress.cpp Input file ipaddress.in Time limit 2 seconds Problem description Suppose you are reading byte streams from any device, representing IP addresses. Your task is to convert a 32 characters long sequence of 1s and 0s (bits) to a dotted decimal format. A dotted decimal format for an IP address is form by grouping 8 bits at a time and converting the binary representation to decimal representation. Any 8 bits is a valid part of an IP address. To convert binary numbers to decimal numbers remember that both are positional numerical systems, where the first 8 positions of the binary systems are: 27 26 25 24 23 22 21 20 128 64 32 16 8 4 2 1 Input You should read input data from the file of “ipaddress.in”. The input will have a number N (1=N=9) in its first line representing the number of streams to convert. N lines will follow. Output Output your result to the standard output device. The output must have N lines with a doted decimal IP address. A dotted decimal IP address is formed by grouping 8 bit at the time and converting the binary representation to decimal representation. Sample Input 4 00000000000000000000000000000000 00000011100000001111111111111111 11001011100001001110010110000000 01010000000100000000000000000001 Sample Output 0.0.0.0 3.128.255.255 203.132.229.128 80.16.0.1 Problem B The Greatest Common Divisor in Ancient Rome Submit file roman.c / roman.cpp Input file roman.in Time limit 2 seconds Problem description You must have retrieved the GCD (Greatest Common Divisor) of two positive integers before. Do you want to have a try, to do that in Ancient Rome Times? The Ancient Roman, who lived hundreds of years ago, used a kind of symbols called “Roman numerals” for arithmetic.The following are 7 basic Roman numerals: Roman numerals Value I 1 V 5 X 10 L 50 C 100 D 500 M 1000 These 7 symbols form all the other numbers. Al