MathDB
ASU 017 All Russian MO 1962 8.5 & 9.5 numbers in a table

Source:

June 17, 2019
combinatoricssquare table

Problem Statement

Given a n×nn\times n table, where nn is odd. There is either 11 or −1-1 in its every field. A product of the numbers in the column is written under every column. A product of the numbers in the row is written to the right of every row. Prove that the sum of 2n2n products doesn't equal to 00.
Back to ProblemsView on AoPS