$1$ Context$-$Free LanguagesAre the following languages context$-$free or not? If yes, specify a context$-$freegrammar in BNF notation that generates the language. If not, try to givean informal argument.$($a$)\{$a$^($m$)$c$^($o$)$b$^($m$)|$m$>0,$o$>0\},$ with alphabet $\backslash$Sigma $=\{$a$,$b$,$c$\}($b$)\{$a$^($n$)$b$^(5$n$)|$n$>=0\},$ with alphabet $\backslash$Sigma $=\{$a$,$b$\}($c$)\{($ww$^($R$)|$win$\backslash$Sigma $^(**)|)$:$\}$ and w$^($R$)$ is w in reverse