Find the minimum \(m\) (if it exists) such that every convex function \(f:[-1,1]\to[-1,1]\) has a constant \(c\) such that \[ \int_{-1}^1 \lvert f(x)-c\rvert \,dx \le m.\]

The best solution was submitted by Daeseok Lee (이대석, 수리과학과 2017학번). Congratulations!

Here is his solution of problem 2018-16.

Alternative solutions were submitted by 이본우 (수리과학과 2017학번, +3), 이재우 (함양고등학교 3학년, +2).