Find all unordered positive integer triples $(a,b,c)$ such that $ab-c,~bc-a,~ca-b$ are all powers of $2$.
Proposed by Serbia.
IMO 2015 - Problem 2
- What is the value of the contour integral around Western Europe?
- Zero.
- Why?
- Because all the poles are in Eastern Europe.
Revive the IMO marathon.
- Zero.
- Why?
- Because all the poles are in Eastern Europe.
Revive the IMO marathon.