cubes in 99x101 table - All-Russian MO 2000 Regional (R4) 9.5
Source:
September 26, 2024
combinatoricsnumber theoryperfect cube
Problem Statement
In a table , cubes of natural numbers, as shown in figure . Prove that the sum of all numbers in the table are divisible by .
https://cdn.artofproblemsolving.com/attachments/3/e/dd3d38ca00a36037055acaaa0c2812ae635dcb.png