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What is Balkan Mathematical Olympiad 2003 Problems about?

This document contains 4 math problems: 1) Finding positive integers whose sum of any 2003 is not divisible by 2003. 2) Proving that points D, E, and F are collinear given properties of a triangle and its circumcircle. 3) Finding all functions f from rational numbers to real numbers satisfying 3 conditions. 4) Showing that the sum of lengths along a diagonal of a divided rectangle equals a fraction of the rectangle

Author

Okla

Language

EN