<|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|>

5000 + 5000 qancha bo'ladi?<|eot_id|><|start_header_id|>assistant<|end_header_id|>

5000 va 5000 ning yig'indisi 10000 ga teng.<|eot_id|><|start_header_id|>user<|end_header_id|>

Bir boshlang'ich son P, N! faktoriali va A^B kuchini berib, P, N va A ning eng kichik musbat butun qiymatini toping, ya'ni: * P boshlang'ich son, * N! P^M ga bo'linadi, bu yerda M musbat butun son, * A^B > P. P, N va A^B ni hisoblang.<|eot_id|><|start_header_id|>assistant<|end_header_id|>

Keling, eng kichik bos son bilan boshlaymiz, ya'ni P = 2. Endi N ning eng kichik qiymatini topamiz, ya'ni N! 2^M ga bo'linadi (M musbat butun son). Bu holatda N = 2. N ning faktoriyali N! = 2! = 2, ya'ni 2^1 ga bo'linadi (M = 1). Nihoyat, A va B ning eng kichik qiymatini topamiz, ya'ni A^B > P. Agar P = 2 bo'lsa, A va B ning eng kichik qiymati A = 2 va B = 2 bo'ladi, chunki 2^2 = 4 > 2. Shunday qilib, qiymatlari quyidagicha: P = 2 N = 2 (N! = 2! = 2) A^B = 2^2 = 4<|eot_id|>