Formulate a detailed pathway for the preparation of α-hydroxyl functionalized polystyrene by NMP methods

Consider me Anionic Polymerization process. (a) Define Living Polymerization. (b) Briefly discuss the major characteristics of Living Anionic Polymerization. (c) How many moles of sec-butyllithium would be required to prepare 15 g of polystyrene with M_n = 30000 g/mol. (d) Formulate a detailed reaction pathway for the synthesis of omega-carboxyl functionalized polystyrene by anionic polymerization methods. (e) Formulate a detailed reaction pathway for the preparation of alpha-hydroxyl functionalized polystyrene by anionic polymerization methods. (f) Formulate a detailed reaction pathway for the synthesis of three-arm star polybutadiene using anionic polymerization methods.