MathDB

423

Part of 1986 All Soviet Union Mathematical Olympiad

Problems(1)

ASU 423 All Soviet Union MO 1986 filling mxn tables with perfect squares

Source:

8/6/2019
Prove that the rectangle m×nm\times n table can be filled with exact squares so, that the sums in the rows and the sums in the columns will be exact squares also.
Perfect Squaretablenumber theorySumcombinatorics