S kvadratne ploče

(

) uklonjena su dva disjunktna kvadrata

. Može li se tako nastala ploča prekriti pločicama oblika

i

bez preklapanja?
%V0
S kvadratne ploče $n \times n$ ($n > 5$) uklonjena su dva disjunktna kvadrata $2 \times 2$. Može li se tako nastala ploča prekriti pločicama oblika $\setlength{\unitlength}{5pt}
\begin{picture}(3, 1)
\put(0, 0){\line(1, 0){3}}
\put(0, 1){\line(1, 0){3}}
\put(0, 0){\line(0, 1){1}}
\put(3, 0){\line(0, 1){1}}
\put(1, 0){\line(0, 1){1}}
\put(2, 0){\line(0, 1){1}}
\end{picture}$ i $\setlength{\unitlength}{5pt}
\begin{picture}(2, 2)
\put(0, 0){\line(1, 0){2}}
\put(0, 0){\line(0, 1){2}}
\put(1, 0){\line(0, 1){2}}
\put(0, 1){\line(1, 0){2}}
\put(2, 0){\line(0, 1){1}}
\put(0, 2){\line(1, 0){1}}
\end{picture}$ bez preklapanja?