Given the following CFG

E $->$ E & T

E $->$ E $\%$ T

E $->$ F $!$

F $->$ F $<$ T

F $->$ F $>$ T

F $->$ t $|$ f

T $->($E$)|$ t $|$ f

Eliminate left recursion and backtracking, if needed. Show your steps and the new grammar.