杰拉斯的博客

Children’s Queue

Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 5660 Accepted Submission(s): 1755

Description

There are many students in PHT School. One day, the headmaster whose name is PigHeader wanted all students stand in a line. He prescribed that girl can not be in single. In other words, either no girl in the queue or more than one girl stands side by side. The case n=4 (n is the number of children) is like
FFFF, FFFM, MFFF, FFMM, MFFM, MMFF, MMMM
Here F stands for a girl and M stands for a boy. The total number of queue satisfied the headmaster’s needs is 7. Can you make a program to find the total number of queue with n children?

Input

There are multiple cases in this problem and ended by the EOF. In each case, there is only one integer n means the number of children (1<=n<=1000)

Output

For each test case, there is only one integer means the number of queue satisfied the headmaster’s needs.

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Number Sequence

Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 53991 Accepted Submission(s): 12146

Description

A number sequence is defined as follows:

f(1) = 1, f(2) = 1, f(n) = (A * f(n - 1) + B * f(n - 2)) mod 7.

Given A, B, and n, you are to calculate the value of f(n).

Input

The input consists of multiple test cases. Each test case contains 3 integers A, B and n on a single line (1 <= A, B <= 1000, 1 <= n <= 100,000,000). Three zeros signal the end of input and this test case is not to be processed.

Output

For each test case, print the value of f(n) on a single line.

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在竞赛中，遇到大数据时，往往读文件成了程序运行速度的瓶颈，需要更快的读取方式。相信几乎所有的C++学习者都在cin机器缓慢的速度上栽过跟头，于是从此以后发誓不用cin读数据。还有人说Pascal的read语句的速度是C/C++中scanf比不上的，C++选手只能干着急。难道C++真的低Pascal一等吗？答案是不言而喻的。一个进阶的方法是把数据一下子读进来，然后再转化字符串，这种方法传说中很不错，但具体如何从没试过，因此今天就索性把能想到的所有的读数据的方式都测试了一边，结果是惊人的。

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骨牌铺方格

Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 14699 Accepted Submission(s): 7085

Description

在2×n的一个长方形方格中,用一个1× 2的骨牌铺满方格,输入n ,输出铺放方案的总数.
例如n=3时,为2× 3方格，骨牌的铺放方案有三种,如下图：

Input

输入数据由多行组成，每行包含一个整数n,表示该测试实例的长方形方格的规格是2×n (0<n<=50)。

Output

对于每个测试实例，请输出铺放方案的总数，每个实例的输出占一行。

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Fire Net

Time Limit: 2 Seconds      Memory Limit: 65536 KB

Suppose that we have a square city with straight streets. A map of a city is a square board with n rows and n columns, each representing a street or a piece of wall.

A blockhouse is a small castle that has four openings through which to shoot. The four openings are facing North, East, South, and West, respectively. There will be one machine gun shooting through each opening.

Here we assume that a bullet is so powerful that it can run across any distance and destroy a blockhouse on its way. On the other hand, a wall is so strongly built that can stop the bullets.

The goal is to place as 

blockhouses in a city as possible so that no two can destroy each other. A configuration of blockhouses is legal provided that no two blockhouses are on the same horizontal row or vertical column in a map unless there is at least one wall separating them. In this problem we will consider small square cities (at most 4x4) that contain walls through which bullets cannot run through.

The following image shows five pictures of the same board. The first picture is the empty board, the second and third pictures show legal configurations, and the fourth and fifth pictures show illegal configurations. For this board, the maximum number of blockhouses in a legal configuration is 5; the second picture shows one way to do it, but there are several other ways.

Your task is to write a program that, given a description of a map, calculates the maximum number of blockhouses that can be placed in the city in a legal configuration.

The input file contains one or more map descriptions, followed by a line containing the number 0 that signals the end of the file. Each map description begins with a line containing a positive integer 

that is the size of the city; 

will be at most 4. The next 

lines each describe one row of the map, with a '

' indicating an open space and an uppercase '

' indicating a wall. There are no spaces in the input file.

For each test case, output one line containing the maximum number of blockhouses that can be placed in the city in a legal configuration.

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