PKU_1006_Biorhythms

Biorhythms


Description

Some people believe that there are three cycles in a person's life that start the day he or she is born. These three cycles are the physical, emotional, and intellectual cycles, and they have periods of lengths 23, 28, and 33 days, respectively. There is one peak in each period of a cycle. At the peak of a cycle, a person performs at his or her best in the corresponding field (physical, emotional or mental). For example, if it is the mental curve, thought processes will be sharper and concentration will be easier.
Since the three cycles have different periods, the peaks of the three cycles generally occur at different times. We would like to determine when a triple peak occurs (the peaks of all three cycles occur in the same day) for any person. For each cycle, you will be given the number of days from the beginning of the current year at which one of its peaks (not necessarily the first) occurs. You will also be given a date expressed as the number of days from the beginning of the current year. You task is to determine the number of days from the given date to the next triple peak. The given date is not counted. For example, if the given date is 10 and the next triple peak occurs on day 12, the answer is 2, not 3. If a triple peak occurs on the given date, you should give the number of days to the next occurrence of a triple peak.

Input

You will be given a number of cases. The input for each case consists of one line of four integers p, e, i, and d. The values p, e, and i are the number of days from the beginning of the current year at which the physical, emotional, and intellectual cycles peak, respectively. The value d is the given date and may be smaller than any of p, e, or i. All values are non-negative and at most 365, and you may assume that a triple peak will occur within 21252 days of the given date. The end of input is indicated by a line in which p = e = i = d = -1.

Output

For each test case, print the case number followed by a message indicating the number of days to the next triple peak, in the form:

Case 1: the next triple peak occurs in 1234 days.

Use the plural form ``days'' even if the answer is 1.

Sample Input

0 0 0 0
0 0 0 100
5 20 34 325
4 5 6 7
283 102 23 320
203 301 203 40
-1 -1 -1 -1


Sample Output

Case 1: the next triple peak occurs in 21252 days.
Case 2: the next triple peak occurs in 21152 days.
Case 3: the next triple peak occurs in 19575 days.
Case 4: the next triple peak occurs in 16994 days.
Case 5: the next triple peak occurs in 8910 days.
Case 6: the next triple peak occurs in 10789 days.


Source Code

/********************************************
题目大意是,有三个高峰,周期分别为23、28、33天,求下一个高峰来临的日子,可以枚举,每次增加33进行验证
据说还有更好的方法,到时候再看吧。
********************************************/
#include <iostream>
using namespace std;
int main()
{
	int a,b,c,beg;
	cin>>a>>b>>c>>beg;
	int times=0;
	while (a!=-1)
	{
		
		int count;
		a%=23;
		b%=28;
		c%=33;
		if (beg<c)                        //起始时间比今年第一个C高峰还早的情况
			count=c;                  //这种情况自然是从第一个C高峰开始计算
		else
			count=beg-(beg-c)%33+33;
		while (((count-a)%23!=0)||((count-b)%28!=0))
			count+=33;
		count-=beg;
		times++;
		cout<<"Case "<<times<<": the next triple peak occurs in "<<count<<" days."<<endl;
		cin>>a>>b>>c>>beg;
	}
	return 0;
}




### 关于 PKU_Campus 数据库文件格式及其用途 在 IT 领域中,`pku_campus.db` 文件通常是一个 SQLite 数据库文件。SQLite 是一种轻量级的关系型数据库管理系统,广泛用于嵌入式应用和小型项目中[^4]。以下是关于 `pku_campus.db` 的可能格式和用途: #### 1. **文件格式** SQLite 数据库文件的标准扩展名为 `.db` 或 `.sqlite`。这种文件本质上是以二进制形式存储的数据表集合,支持 SQL 查询语言。可以通过以下命令查看其结构: ```bash sqlite3 pku_campus.db ``` 运行上述命令后,可以执行如下操作来了解数据表的内容: ```sql .tables -- 查看所有表格名称 .schema table_name -- 查看特定表格的定义 SELECT * FROM table_name LIMIT 10; -- 浏览前几条记录 ``` #### 2. **潜在用途** 根据命名惯例,“PKU Campus” 可能指北京大学校园相关的某个系统或应用程序。因此,该数据库文件可能是为了管理与校园活动、学生信息或其他资源有关的数据而设计的。 - 如果涉及学生活动,则可能会有类似于 `students`, `events`, 和 `registrations` 这样的表格。 - 若是科研领域中的工具包组件之一,则需进一步确认具体上下文环境下的功能定位[^5]。 另外值得注意的是,在某些情况下,此类数据库也可能被用来保存地理空间信息(GIS),特别是当它关联到地图服务或者位置追踪类软件时[^6]。 #### 示例代码展示如何连接并查询此类型的 SQLite 数据库 下面提供了一个简单的 Python 脚本例子,演示怎样加载以及读取一个 SQLite 数据库内的基本信息: ```python import sqlite3 conn = sqlite3.connect('pku_campus.db') cursor = conn.cursor() # 获取所有的表名 cursor.execute("SELECT name FROM sqlite_master WHERE type='table';") tables = cursor.fetchall() print(f"Tables found: {tables}") for table in tables: tableName = table[0] print(f"\nData from Table '{tableName}': ") try: cursor.execute(f'SELECT * FROM "{tableName}" LIMIT 5') rows = cursor.fetchall() for row in rows: print(row) except Exception as e: print(e) conn.close() ```
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