Using the Bottom Up LR$(1)$ Parsing algorithm, parse the following input string:

x $+$ y $*$ y $

Below is the Parsing Table and Grammar. This is the same table and grammar we went over in class, but for a different input string.

To provide your answer, use the following three columns in the following format, where the top of the stack is to the left.

$[$Stack$][$Input$][$Action$]$