identify primary keys, candidate keys and remove partial dependency (bring the table to 2nf)

DEPARTMENT \begin{tabular}{|l|l|l|l|} \hline Dname & Dnumber & Dmgr_ssn & Dlocations \\ \hline Research & 5 & 333445555 & { Bellaire\} \\ \hline Research & 5 & 333445555 & { \{Sugarland\} \\ \hline Research & 5 & 333445555 & { \{Houston\} \\ \hline Administration & 4 & 987654321 & { \{Stafford\} \\ \hline Headquarters & 1 & 888665555 & { \{Houston } \\ \hline \end{tabular}