Given det(xyz123456)=10\det \begin{pmatrix} x & y & z \\ 1 & 2 & 3 \\ 4 & 5 & 6 \end{pmatrix} = 10detx14y25z36=10, what is the determinant of (x+1y+2z+3123456)\begin{pmatrix} x+1 & y+2 & z+3 \\ 1 & 2 & 3 \\ 4 & 5 & 6 \end{pmatrix}x+114y+225z+336?
101010
111111
202020
000