Show the $LR(0)$ construction for the following grammar.

$1$ Start $$ S$

$2S$ id assign A semi

$3A$ id assign $A$

$4AE$

$5EE$ plus $P$

$6|$ P

$7P$ id

$8|$lp id semi id rp

$9|$ Ip A rp$.$

Elaborate what reduces or shifts to what state.