MathDB

2

Part of 2006 IMC

Problems(2)

IMC 2006, problem 2, day 1

Source:

7/22/2006
Find the number of positive integers x satisfying the following two conditions: 1. x<102006x<10^{2006} 2. x2−xx^{2}-x is divisible by 10200610^{2006}
modular arithmeticIMCcollege contests
IMC 2006, problem 2, day 2

Source:

7/25/2006
Find all functions f:R→Rf: \mathbb{R}\to{R} such that for any a<ba<b, f([a,b])f([a,b]) is an interval of length b−ab-a
functionIMCcollege contests