Russian Math Olympiad Problems And Solutions Pdf Verified [patched] Site

Verified problems and solutions for the All-Russian Mathematical Olympiad (RusMO) and former Soviet Union Math Competitions

site:edu "Russian Mathematical Olympiad" "solutions" pdf filetype:pdf "Russian MO" "grade" solutions "Всероссийская олимпиада школьников" задачи решения pdf

: Find all functions ( f: \mathbbR \to \mathbbR ) such that [ f(xf(y) + f(x)) = f(xy) + x ] for all real ( x, y ).