$1.(5)$ List all the ways to split the string w $=$ baba into three substrings, w $=$ w $1$ w $2$ w $3$

$2.(5).$ Let $=\{0,1\},$ L$1=\{$w $|$ w contains substring $11\},$ L$2=\{$w $||$w$|$ is even, and w has $11$ as center $2$

symbols$\}$

List the first $5$ strings in L $2$ in shortlex order.

$3.(14)$ Let w $=$ abba over the alphabet $\{$a$,$b$\}$

a$.$ List the prefixes of w

b$.$ List the proper prefixes of w

c$.$ List three strings that are substrings of w

d$.$ Give the shortest string that is a substring of w$.$

e$.$ Give one string y so that w is a proper substring of y$.$

f$.$ Give one string smaller than w