Find the positive integer pair (m, n) such that m*n is the minimum and the last 98 digits in m^{m}*n^{n} are all zeroes.

__Note__: 99^{th} digit from the right in *m*^{m}*n^{n} is not zero.

(In reply to

Solution by Dej Mar)

I like your *analytic solution * which is concise, compact and to the point.

Consequently, I confirm having hyperlinked your methodology in my solution.

*Edited on ***March 23, 2008, 10:44 am**