regular language and CFL

Question

$L=\left \{ a^{n}b^{n}c^{n}d^{n} | n<10^{10} \right \}$

I know this language is regular language so it is DCFL AND CFL also

but how can we implenment this language with DCFL with stack because till we reach c there will be nothing in the stack to compare c with

this language can be implemented using FA We can have these many states to compare how we will compare in stack

explain the logic of this language with DCFL

Comments

PDA is just a Finite Automata with an unbounded stack.
I think there is no need to use a stack for this language. As language is finite, keeping track of symbols with the help of states is the only solution.