need a step by step logic and explanation for this question

6. Consider a BLP system with the following clearances (classifications) and category sets: - 3 clearances/classifications: USTS - 3 category sets: (ASIA,EUR,US\}, (EUR,US), \{US, (Notice: don't consider other unlisted category sets, like \{ASLA\} or \{EUR\}. They won't appear in the system) List all the security levels in the system. (TS, {ASLA,EUR,US}),(TS,{EUR,US}), (TS, {US}) (S, \{ASIA,EUR,US\}), (S,\{EUR,US\}), (S,\{US\}) (U,\{ASIA,EUR,US }),(U,{EUR,US}),(U,{US}) By Denning's axioms, those security levels form a lattice. Draw the lattice in full details (with all the security levels you have listed above; don't write something like latticel d attice2). Assuming Alice is assigned the security level (U,{AS/A,EUR,US), list all the security levels (of objects) that she can read and all the security levels (of objects) that she can write by BLP policy. Read: (U,\{ASIA,EUR,US\}), (U,\{EUR,US\}), (U,\{US\}) Write: (U,\{ASIA,EUR,US\}), (S,\{ASIA,EUR,US\}), (IS,\{ASIA,EUR,US\})