Following the previous question. The subspace $V = U^\perp$ is $U$'s orthogonal complement in $\mathbf{R}^4$. Given a vector $\mathbf{w} = [10, 0, 8, 2]^T$, find $\mathbf{w} = \mathbf{v} + \mathbf{u}$, where $\mathbf{v} = [a, b, c, d]^T \in V$, $\mathbf{u} = [e, f, g, h]^T \in U$. What is $(\mathrm{Round}\{c^2 + g^2\}) \% 5$? (% is the modulo operation. Round{z} rounds z to the nearest integer.)