MathDB

Pasha placed numbers from

1

100

in the cells of the square

10

10

, each number exactly once. After that, Dima considered all sorts of squares, with the sides going along the grid lines, consisting of more than one cell, and painted in green the largest number in each such square (one number could be colored many times). Is it possible that all two-digit numbers are painted green?
Bragin Vladimir

Problem Statement