Which one of the following string is DCFL Is odd length pallindrome DCFL or NCFL?

Like

1) $L=\{w1w^R\mid w \in \{0, 1\}^*\}$

or

2) $S\rightarrow aSa\mid bSb\mid a$

or

Suppose odd length String like

3)$S\rightarrow aSa\mid bSb\mid aSb\mid bSa\mid a\mid b$

We get information about even length palindrome, that it can never be DCFL, but what about odd length?
Hint: The DCFL among the three alternatives is not only a DCFL, it is a regular language.

(Recall that the regular languages form a subset of the DCFLs.)

Hint no. 2: The other two alternatives are essentially the same language, only over different alphabets.