# Inspired from: Problem 2 : Basic Operations by Ahaan Rungta

Discrete Mathematics Level pending

A real number is given. In each move, we can either add $$7$$ to it, subtract $$7$$ to it, multiply it by $$7$$ and divide it by $$7$$. The sum of all numbers such that after exactly $$7$$ moves, the original number comes back is $$a$$. Find $$[ a ]$$.

×