MathDB

x - [ x/2016]= 2016

Source: OLCOMA Costa Rica National Olympiad, Final Round, 2016 Shortlist N1 day1

September 23, 2021

algebrafloor function

Problem Statement

Find all

x \in R

such that

x - \left[ \frac{x}{2016} \right]= 2016

, where

[k]

represents the largest smallest integer or equal to

k