Write the structure function corresponding to the following:
(a) \phi(x)=x_1 \max \left(x_2, x_3, x_4\right) x_5. (b) \phi(x)=x_1 \max \left(x_2 x_4, x_3 x_5\right) x_6. (c) \phi(x)=\max \left(x_1, x_2 x_3\right) x_4.