大学生程序设计竞赛试题正式赛

中原工学院第一届大学生程序设计竞赛

正式比赛试题

主办：中原工学院教务处学生处校团委计算机学院

承办：中原工学院计算机学院

地点：计算机学院实验中心406实验室

时间：2010年4月11日

【试题一】

兔子

【题目描述】

兔子具有很强的繁殖能力。一对成年兔子每个月可以繁殖一对小兔子，而一对小兔子经过m个月之后，就会长成一对成年兔子。通过分析，我们可以看出：若m=2的时候，每个月兔子的对数构成了一个Fibonacci数列。

但是，若m<>2，这个问题看起来就不那么简单了。你的任务是计算：假定初始只有一对兔子，那么，经过d个月之后，共有多少对兔子？可以假定，在此阶段没有任何兔子死亡。

【输入】

输入包括多组测试数据。每组测试数据的一行中包括2个整数m(1<=m<=10)，

d(1<=d<=30)。当测试数据遇到一行中有两个0时，即m=d=0，测试数据结束。

【输出】

针对每组测试数据，在每一行输出经过d个月后共有多少对兔子。

【输入样例】

2 3

3 5

0 0

【输出样例】

5

9

【试题二】

网页浏览器

【题目描述】

Mozilla Firefox是一个自由的，开放源码的网页浏览器，适用于Windows, Linux 和MacOS X等平台。Firefox火狐校园大使是Mozilla开源社区项目的一部分，针对在校的高年级本科生和研究生以及众多技术爱好者，在校园中推广开源项目和开放技术，让更多的开发人员受益于Mozilla的开放技术和免费资源。你很荣幸得到了这样一个机会，为Firefox编写一个重要的导航模块。

正如上图所示，导航模块要接受用户的后退、前进、进入用户输入的网址以及清空浏览记录等操作。

【输入】

为了简化问题，用户所有的操作都以字符的形式从标准输入读入。每一行描述一个操作，各操作的格式和功能如下所示：

浏览器启动时默认进入中原工学院的主页” .cn”

【输出】

对于每一个需要输出网址的操作，输出对应的网址。每个网址恰好占一行，不要有多余的字符（包括空格和换行）。详细格式可以参考输入输出样例。

【输入样例】

url /

url .1

back

back

back

forward

clear

url

forward

back

back

exit

【输出样例】

/

.cn

/

/

【试题三】

茶商

【题目描述】

一位茶叶商人从南方收购了n吨新茶，由于产地偏僻不通铁路，茶商准备先沿水路运到武汉，再发往全国各地销售。码头上只有m条规格不同的小货船，每条船都不足以装载全部茶叶。各船的最大载重量分别为w[i]吨，需f[i]费用(1<=i<=m)。当然，由于茶商是老主顾，而且货船还可以搭载其他货物，因此船主比较客气，声称可以装一部分货物，按实际装多少货物计费（例如，只装了1/3载重，则费用也为1/3）。

请问，茶商应该选择哪些货船，使得费用最低？

【输入】

输入包括多组测试数据。每组测试数据的第一行为2个非负整数n和m，其含义如题目描述所示。接下来的m行，每行有两个非负整数w[i]和f[i]，代表每条船的最大载重量和费用。当测试数据遇到一行中有两个-1时，测试数据结束。所有的整数不超过1000。

【输出】

针对每组测试数据，在每一行输出一个唯一的整数，表示茶商所需要的最少运费（运算过程中可以采用浮点数，输出最终结果时取整）。

【输入样例】

15 3

7 2

4 3

5 2

30 3

25 18

24 15

15 10

-1 -1

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