Friday, August 27, 2010
12th Asian Pacific Mathematics Olympiad 2000 Problems
12th Asian Pacific Mathematics Olympiad 2000 ProblemsA1. Find a13/(1 - 3a1 + 3a12) + a23/(1 - 3a2 + 3a22) + ... + a1013/(1 - 3a101 + 3a1012), where an = n/101. A2. Find all permutations a1, a2, ... , a9 of 1, 2, ... , 9 such that a1 + a2 + a3 + a4 = a4 + a5 + a6 + a7 = a7 + a8 + a9 + a1 and a12 + a22 + a32 + a42 =
Subscribe to:
Post Comments (Atom)
Popular Posts
-
Boxhead The Zombie Wars Infomation: Fight an army of zombies using awesome new weapons How to play: WADS Keys to move. Space to shoot. Z to ...
-
Check the flag is a fun and simple puzzle game . In this game your task is to make the enemy flag with the army you have...
-
A1. Show that there are arbitrarily large numbers n such that: (1) all its digits are 2 or more; and (2) the product of any four of ...
No comments:
Post a Comment
Note: Only a member of this blog may post a comment.