Kazakhstan FAIO 2024 · Énoncé

B. Expected Value

Mis en forme par IOAI Training à partir de l'original (BeksultanSagyndyk/faio-tasks, licence Apache-2.0). L'original fait foi.

https://contest.yandex.ru/contest/71291/problems/B/

A point M is chosen uniformly at random inside an equilateral triangle ABC. The area of the triangle is 1. Find the expected value of the area of triangle ABM.

Output the answer in the form a/b.