2005 年上机试题
发信人: tiancai (tiancai), 信区: KaoyanExam
标 题: Re: 问：今年cs 上机题是什么？
发信站: 饮水思源 (2005 年04 月01 日16:10:39 星期五)
可能晚些时候会有人发出完整版本，我写一下我记到的东西：
1. 太恐怖了，
12 翻一下是21 对吗？
34 翻一下是43 对吗？
12+34 是46 对吗？46 翻一下是64 对吗？
现在给你21 与43，把64 输出就可以了。
2.
给你一串路径，譬如
a\b\c
a\d\e
b\cst
d
你把这些路径中蕴涵的目录结构给画出来，子目录直接列在父目录下面，并比父目录向右
缩一格，就象这样
a
b
c
d
e
b
cst
d

1

同一级的需要按字母顺序排列，不能乱。
3. 这题听说.....有点问题。反正大概意思是这样的(除非我理解错了.....)：
有一个x[6][6] 任意的 0<=i,j<=5 1<=x[i][j]<=10;
现在有一个起始位置i1,j1 与一个结束位置i2,j2。
请找出一条从i1,j1 到i2,j2 的总代价最小的路径。
1. 只能沿上下左右四个方向移动
2. 总代价是每走一步的代价之和
3. 每步（从a,b 到c,d)的代价是x[c][d]与其在a,b 处状态的乘积
4. 初始状态(在i1,j1 时的状态）是1，每走一步，状态按如下公式变化
(走这步的代价 % 4)+1
也就是状态只有4 种:1,2,3 or 4.
2006 年上机试题:
Problem A.Fibonacci
Input: fib.in
Output: Standard Output
Time limit: 5 second
Memory limit: 64 megabytes
The Fibonacci Numbers{0,1,1,2,3,5,8,13,21,34,55...} are defined by the recurre
nce:
F0=0 F1=1 Fn=Fn-1+Fn-2,n>=2
Write a program to calculate the Fibonacci Numbers.
Input
The input file contains a number n and you are expected to calculate Fn.(0<=n<
=30)
Output
Print a number Fn on a separate line,which means the nth Fibonacci Number.

2

Example
fib.in Standard Output
1 1

2 1
3 2
4 3
5 5
6 8

Problem B.WERTYU
Input: wertyu.in
Output: Standard Output
Time limit: 5 second
Memory limit: 64 megabytes
A common typing error is to place the hands on the keyboard one row to the rig
ht of the correct position.So "Q" is typed as "W" and "J" is typed as "K" and
so on.You are to decode a message typed in this manner.

` 1 2 3 4 5 6 7 8 9 0 - = BackSp
Tab Q W ERT Y U I O P [] \
A SD F G HJ KL ; ' Enter
ZXCVBNM, . /
Control Alt Space Alt Control

Input
The input file consist of several lines of text.Each line may contain digits,s
paces,upper case letters(except Q,A,Z),or punctuation shown above(except back-
quote(') which is left to the key "1").Keys labelled with words [Tab,BackSp,Co
ntrol,etc.] are not represented in the input.


Output
You are to replace each letter or punctuation symbol by the one immediately to
its left on the QWERTY keyboard shown above.Spaces in the input should be ech
oed in the output.

Example
wertyu.in Standard Output
O S, GOMR YPFSU/ I AM FINE TODAY.

Problem C.String Matching

Input: matching.in
Output: Standard Output
Time limit: 5 second

Memory limit: 64 megabytes
Finding all occurrences of a pattern in a text is a problem that arises freque
ntly in text-editing programs.

Typically,the text is a document being edited,and the pattern searched for is
a particular word supplied by the user.

We assume that the text is an array T[1..n] of length n and that the pattern i
s an array P[1..m] of length m<=n.We further assume that the elements of P and
T are all alphabets(Σ={a,b...,z}).The character arrays P and T are often cal
led strings of characters.

We say that pattern P occurs with shift s in the text T if 0<=s<=n and T[s+1..
s+m] = P[1..m](that is if T[s+j]=P[j],for 1<=j<=m).

If P occurs with shift s in T,then we call s a valid shift;otherwise,we call s


a invalid shift.

Your task is to calculate the number of vald shifts for the given text T and p
attern P.

Input
In the input file,there are two strings T and P on a line,separated by a singl
e space.You may assume both the length of T and P will not exceed 10^6.

Output
You should output a number on a separate line,which indicates the number of va
lid shifts for the given text T and pattern P.

Example
matching.in Standard Output
aaaaaa a 6

abababab abab 3
abcdabc abdc 0