013. Resistors in Parallel

Codeforces

IDCF10269013

Time1000ms

Memory256MB

Difficulty—

English · Original

Formal · Original

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. The 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. Output a single positive decimal number _r_: the equivalent resistance of the two resistors, calculated using the above formula. ## Input The 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. ## Output Output a single positive decimal number _r_: the equivalent resistance of the two resistors, calculated using the above formula. [samples]

**Definitions** Let $ a, b \in \mathbb{R}^+ $ denote the resistances of two resistors. **Objective** Compute the equivalent resistance $ r $ when connected in parallel: $$ r = \frac{a \cdot b}{a + b} $$

API Response (JSON)

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