Consider the grammar of expressions:

::= | | + | *

::= X | Y | Z denotes unsigned integers as in the class notes/discussions. Rewrite this grammar such that the operations will be performed strictly left to right; i.e., X + Y * Z will be evaluated as ( X + Y ) * Z and X * Y + Z will be evaluated as ( X * Y ) + Z. (The language APL does something like this.)