pda$1=$ PDA$([\text{'}0\text{'},\text{'}1\text{'},\text{'}$e$\text{'}],$ # Alphabet $($input & stack$)$ with epsilon $($e$)$

$[\text{'}0\text{'},\text{'}1\text{'},\text{'}2\text{'}]$ # States

$,$

$[[[\{(\text{'}0\text{'},\text{'}00\text{'}),(\text{'}1\text{'},\text{'}$e$\text{'})\},\{(\text{'}0\text{'},\text{'}01\text{'})\},\{(\text{'}0\text{'},\text{'}0\text{'})\}],$ # Transition

$[\{(\text{'}0\text{'},\text{'}10\text{'})\},\{(\text{'}0\text{'},\text{'}11\text{'}),(\text{'}1\text{'},\text{'}$e$\text{'})\},\{(\text{'}0\text{'},\text{'}1\text{'})\}],$ # First row

$[\{\},\{\},\{(\text{'}2\text{'},\text{'}$e$\text{'})\}]]$ #

$,$

$[[\{(\text{'}1\text{'},\text{'}$e$\text{'})\},\{\},\{\}],$ # Transition

$[\{\},\{(\text{'}1\text{'},\text{'}$e$\text{'})\},\{\}],$ # Second row

$[\{\},\{\},\{(\text{'}2\text{'},\text{'}$e$\text{'})\}]]$ #

$,$

$[[\{\},\{\},\{\}],$ # Transition

$[\{\},\{\},\{\}],$ # Third row

$[\{\},\{\},\{\}]]$ #

$],$

$\{\text{'}2\text{'}\},$ # Accepting states

$[\text{'}$bottom$\text{'}])$ # Bottom of the stack symbol