MathDB
2020 Canadian MO P3.

Source:

March 14, 2020
combinatoricsCanada

Problem Statement

There are finite many coins in David’s purse. The values of these coins are pair wisely distinct positive integers. Is that possible to make such a purse, such that David has exactly 20202020 different ways to select the coins in his purse and the sum of these selected coins is 20202020?