编写程序证明Birthday paradox，也就是生日悖论。
证明方法很简单，随机生成n个人，随机生成他们的生日，然后测试就行了。
Birthday Paradox
The birthday paradox says that the probability that two people in a room will have the same birthday is more than half, provided n, the number of people in the room, is more than 23. This property is not really a paradox, but many people find it surprising. Design a Java program that can test this paradox by a series of experiments on randomly generated birthdays, which test this paradox for n = 5, 10, 15, 20, …, 100.
For each n, run this experiment at least 100,000 times and see how many experiments lead to the situation that at least two people have the same birthday. Calculate the proportion of these experiments and use it as an estimate of the probability.
For random number generator in Java. Check
http://stackoverflow.com/questions/5887709/gettingrandomnumbersinjava
Note to save CPU time, you can exit an experiment once you already find two people have the same birthday. This is a chance to use “break” statement.
You need to submit both source code and a typed report of the output of your program. Note your report need to be a .pdf file.