Giving the CFG to parse the roman numerals $1-99($i$,$ii$,$iii,iv$,$ v$,...,$ix$,$x$,...,$xl$,...,$lxxx$,...,xc,$dots,xcix below: The Grammar with terminals $\{c,l,x,v,i\}.c=100,1=50,x=10,v=5,i=1.$ Notice that we use lowercase characters here to represent the numerals, to distinguish them from the non$-$terminals.

$S$xTU$|1x|x$

$Tc|l|$

$xxx|U|$

$UiY|vI|I$

$Yx|v|$

$IiI|lon|$

Provide a parse tree for $74$ "Ixxiv"