MathDB
Split in sum groups

Source: May Olympiad 2021 L2 #1

June 8, 2021
combinatorics

Problem Statement

On a board the numbers 1,2,3,,98,991,2,3,\dots,98,99 are written. One has to mark 5050 of them, such that the sum of two marked numbers is never equal to 9999 or 100100. How many ways one can mark these numbers?