$8.$ Using the algorithm described in Section $4\mathrm{.}4\mathrm{.}2,$ remove direct left recursion form the following grammar rules.$*$ List all of the $($alpha$)$ and $($beta$)$ substrings.$*$ Provide the new A$-$rules and A$\text{'}-$rules based on the and substrings.X$$Xyy$|$Xz$|$Yx$|$wY$$Yy$|$Yw$|$zy$|$x