All cells of the checkered plane are painted in 5 colors so that in any figure of the species https://cdn.artofproblemsolving.com/attachments/f/f/49b8d6db20a7e9cca7420e4b51112656e37e81.png all colors are different. Prove that in any figure of the species \begin{tabular}{ | l | c| c | c | r| } \hline & & & &\\ \hline \end{tabular}, all colors are different.. combinatoricscombinatorial geometrytiles