2020年7月第1题 PAT甲级真题 Prime Day (20分)

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大唐豪侠服务器列表文件格式错误,关于大唐豪侠一键端的一些问题心得有人问了大唐豪侠架设方面的问题，我简单研究了一下，做了个整理，现放出来大家一起研究讨论，我是把服务端的解压到了D盘里面了。第一个问题：架设成功后，运行客户端提示获取服务器列表失败，这个原因是因为压缩的一键端是整理过的，我们需要把服务器列表等解压出来，详见截图首先到这个目录里面找到package.zip，找到这个以后这里要注意，解压路径里面一定不要有package，这个解压成功后就有了服务列表等... 阅读详情

The above picture is from Sina Weibo, showing May 23rd, 2019 as a very cool "Prime Day". That is, not only that the corresponding number of the date 20190523 is a prime, but all its sub-strings ended at the last digit 3 are prime numbers.

Now your job is to tell if a given date is a Prime Day.

Input Specification:

Each input file contains one test case. For each case, a date between January 1st, 0001 and December 31st, 9999 is given, in the format yyyymmdd.

Output Specification:

For each given date, output in the decreasing order of the length of the substrings, each occupies a line. In each line, print the string first, followed by a space, then Yes if it is a prime number, or No if not. If this date is a Prime Da