Two planets named Haha and Xixi in the universe and they were created with the universe beginning.
There is 73 days in Xixi a year and 137 days in Haha a year.
Now you know the days N after Big Bang, you need to answer whether it is the first day in a year about the two planets.
There are several test cases(about 5 huge test cases).
For each test, we have a line with an only integer N(0 <= N), the length of N is up to 10000000.
10001 0 333
Case #1: YES Case #2: YES Case #3: NO