POJ 1006 Biorhythms（中国剩余定理，63 ms）

一、题目描述

Biorhythms

Time Limit: 1000MS Memory Limit: 10000K
Total Submissions: 154722 Accepted: 50271（2020/1/13）

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.
一些人相信，一个人从出生起就具有三个生理周期，分别是体能、精神和智能的循环周期，长度分别为23、28、33天。每个周期都有一个峰值。在峰值时，相应的能力达到顶峰。例如，在精神曲线中，顶峰时人的反映会更敏锐，也更容易集中注意力。
三个循环具有不同的周期，所以相应的峰值一般出现在不同时刻。我们希望能计算出对一个人而言三个峰值出现在同一天的日子。对每个循环，你将获得一个数据，代表该种循环周期已经在今年的第几天达到峰值（不一定是第一次）。还会提供给你一个额外的数字，表示今年的第几天。你的任务是计算出下一个三峰将在多少天到来。今年已过去的天数不算在内，例如给出了今年第 10 天，下一次重合在第 12 天，那么答案是 2 不是 3。如果下一次峰值恰好也在给定的日子出现，你应该给出再下一次出现需要等待的天数。

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.
将提供若干样例。每个样例包含四个数字 p, e, i, d。p, e, i 分别代表体能、精神和智能的波动周期在今年第几天达到峰值。d 代表三峰已在今年第几天出现，可以小于 p, e, i 。每个值都是非负的，而且最大是 365。可以认为一个三峰每隔 21252 天出现一次。p, e, i, d = -1 时输入结束。

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.

对每个样例，输出下一个三峰到来需要等待的天数。格式是：

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

即使下一次三峰重合在 1 天后到来，输出中的 day 也要用复数形式 days。

Sample Input

0 0 0 0
0 0 0