Remoteland

In the Republic of Remoteland, the people celebrate their independence day every year. However, as it was a long long time ago, nobody can remember when it was exactly. The only thing people can remember is that today, the number of days elapsed since their independence (D) is a perfect square, and moreover it is the largest possible such number one can form as a product of distinct numbers less than or equal to n.
As the years in Remoteland have 1,000,000,007 days, their citizens just need D modulo 1,000,000,007. Note that they are interested in the largest D, not in the largest D modulo 1,000,000,007.

Every test case is described by a single line with an integer n, (1<=n<=10,000, 000). The input ends with a line containing 0.

For each test case, output the number of days ago the Republic became independent, modulo 1,000,000,007, one per line.

4
9348095
6297540
0

4
177582252
644064736

SWERC 2011