Given a linear transformation from $\mathbb{R}^2$ to $\mathbb{R}^3$ (with respect to standard bases)

Now let $B_1 = \left\{\begin{bmatrix} 1 \\ 1 \end{bmatrix}, \begin{bmatrix} -1 \\ 1 \end{bmatrix}\right\}$ and $B_2 = \left\{\begin{bmatrix} 1 \\ -1 \\ 0 \end{bmatrix}, \begin{bmatrix} 0 \\ 1 \\ 0 \end{bmatrix}, \begin{bmatrix} 1 \\ 0 \\ -1 \end{bmatrix}\right\}$ be non-standard bases for $\mathbb{R}^2$ and $\mathbb{R}^3$, respectively. If the matrix representation of the same linear transformation $L$ (with respect to $B_1$ and $B_2$) is $\begin{bmatrix} a & b \\ c & d \\ e & f \end{bmatrix}_{B_1:B_2}$, what is $\lfloor |a+b+c+d+e+f| \rfloor \% 5$? (% is the modulo operation. $\lfloor z \rfloor$ rounds $z$ to the smaller nearest integer.)