{"problem":{"name":"013. Resistors in Parallel","description":{"content":"When two resistors with resistances _a_ and _b_ are parallel in an electronic circuit, their equivalent resistance is calculated as (_a_ * _b_) / (_a_ + _b_). Given the resistances of two resistors, c","description_type":"Markdown"},"platform":"Codeforces","limit":{"time_limit":1000,"memory_limit":262144},"difficulty":"None","is_remote":true,"is_sync":true,"sync_url":null,"sign":"CF10269013"},"statements":[{"statement_type":"Markdown","content":"When two resistors with resistances _a_ and _b_ are parallel in an electronic circuit, their equivalent resistance is calculated as (_a_ * _b_) / (_a_ + _b_). Given the resistances of two resistors, calculate their equivalent resistance.\n\nThe first line of input contains a single positive integer _a_: the resistance of the first resistor. The second line of input contains a single positive integer _b_: the resistance of the second resistor.\n\nOutput a single positive decimal number _r_: the equivalent resistance of the two resistors, calculated using the above formula.\n\n## Input\n\nThe first line of input contains a single positive integer _a_: the resistance of the first resistor. The second line of input contains a single positive integer _b_: the resistance of the second resistor.\n\n## Output\n\nOutput a single positive decimal number _r_: the equivalent resistance of the two resistors, calculated using the above formula.\n\n[samples]","is_translate":false,"language":"English"},{"statement_type":"Markdown","content":"**Definitions**  \nLet $ a, b \\in \\mathbb{R}^+ $ denote the resistances of two resistors.\n\n**Objective**  \nCompute the equivalent resistance $ r $ when connected in parallel:  \n$$\nr = \\frac{a \\cdot b}{a + b}\n$$","is_translate":false,"language":"Formal"}],"meta":{"iden":"CF10269013","tags":[],"sample_group":[],"created_at":"2026-03-03 11:00:39"}}