一个日期计算方面的难题，用C语言如何比较好的处理这个问题

Problem Description
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.

Input
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.

Output
For the i-th test case, output Case #i: , then output "YES" or "NO" for the answer.

Sample Input
10001
0
333

Sample Output
Case #1: YES
Case #2: YES
Case #3: NO