Question $3$

Give a context$-$free grammar for each of the following languages over $=\{0,1,2\}($ternary numbers$).$

Ternary numbers containing no consecutive identical digits. For example, $1,$ and $101$ are valid, but $00$ and $1221$ are invalid.

Ternary palindromic numbers $($numbers that read the same forwards and backwards$).$

Ternary numbers where the number of $\text{'}0\text{'}$s is equal to the number of $\text{'}2\text{'}$s$.$