1.2.1 Determinant calculation

Problem: Calculate the determinant \( \left|\begin{array}{lllll}0 & 1 & 2 & 1 & 1 \\ 1 & 0 & 1 & 0 & 1 \\ 2 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 2 & 1 \\ 1 & 1 & 1 & 1 & 0\end{array}\right| \).