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