Instructions: Write answers A$1$ and A$2$ concisely $($insert space as needed up to maximum page count of $4$ for the entire document$)$ for the following two questions Q$1$ and Q$2.$ I$3.$ Submit the completed document on LMS before Due Date in PDF format with filename convention as COSC$3106-$Assignment$1-.$pdf Q$1.$ A language L$1$ is defined by symbols

$=\{0,1\},$ written as follows:

L$1=\{$w$|$ w contains $00$ as a substring and the length of w is even number$\}$ Design a DFA that accepting the language L$1.$ Write the formal definition as $5$ tuples.

A$1)$

Q$2.$ Design epsilon NFA for the following regular expressions.

i$)1(0+1)*0$

ii$)01*+10*$ A$2)$

please provide the answer and the diagram to it