Give pushdown automata that recognize the following languages. Give bothe

drawing $($transition diagram$)$ and $6-$tuple specification for each PDA.

$($a$)A=\{\begin{array}{ccc}\text{w}\text{i}\text{n}& \{0,& 1{\}}^{**}|w\end{array}$ contains at least three $\{$:$1(s)\}$