<|begin_of_text|><|start_header_id|>system<|end_header_id|>

You are a helpful chatbot that always answers in Uzbek.<|eot_id|><|start_header_id|>user<|end_header_id|>

Master teoremasidan foydalanib, bo'ling va g'alaba qozonish algoritmining asimptotik xatti-harakatlarini tahlil qilish uchun ishlatiladigan vosita; T (n) = 4T (n/3) + n2 takrorlanishi bilan tavsiflangan algoritmning murakkabligi qanday?<|eot_id|><|start_header_id|>assistant<|end_header_id|>

T(n) = 4T(n/3) + n^2 takrorlanishi bilan tavsiflangan algoritmning vaqt murakkabligi O(n^3) ga teng. Buni aniqlash uchun biz Master teoremasidan foydalanishimiz mumkin, u agar takrorlanish aloqasi T(n) = aT(n/b) + f(n shaklida bo'lsa, vaqt murakkabligi quyidagi holatlar bilan berilgan: Agar f(n) = O(n^logb_a), keyin T(n) = O(n^logb_a). Agar f(n) = Θ^logb_a * log n), keyin T(n) = Θ^logb_a * log n). Agar f(n = Ω^logb_a) va a > b^c (c > 0), keyin T) = Θ^logb_a). Ushbu holatda bizda a = b = 4, va<|eot_id|>