$1.(30$ pts$)$ Normalize the each of the following tables into $3-$rd NF:

$2.(20$ pts$)$ Convert the following table to an equivalent collection of tables that is in third normal form. This table contains information about patients of a dentist. Each patient belongs to a household.

Patient $($HouseholdNum$,$ HouseholdName, Street, City State, Zip, Balance, PatientNum, PatientName, ServiceCode, Description, Fee, Date$)$

The following dependencies exist in the Patient table:

PatientNum $\backslash (\backslash$rightarrow $\backslash )$ HouseholdNum, HouseholdName, Street, City, State, Zip, Balance, PatientName

HouseholdNum $\backslash (\backslash$rightarrow $\backslash )$ HouseholdName, Street, City, State Zip, Balance

ServiceCode $\backslash (\backslash$rightarrow $\backslash )$ Description, Fee

PatientNum, ServiceCode $\backslash (\backslash$rightarrow $\backslash )$ Date