162. Parallel Lines

Codeforces

IDCF10269162

Time1000ms

Memory256MB

Difficulty—

English · Original

Formal · Original

Your younger sibling needs help with their algebra homework, and it involves a full worksheet of detecting parallel lines in equations! Too inarticulate to explain how to find these parallel lines, you decide to create a piece of code that will solve the problems for them. You will be given two lines of linear equations in $y = m x + b$ form. See the example input for the exact formatting. $m$ will always be written before the $x$ term, even if $m$ is equal to 1. If the two linear equations are parallel, output "PARALLEL", otherwise output "NOT PARALLEL". ## Input You will be given two lines of linear equations in $y = m x + b$ form. See the example input for the exact formatting. $m$ will always be written before the $x$ term, even if $m$ is equal to 1. ## Output If the two linear equations are parallel, output "PARALLEL", otherwise output "NOT PARALLEL". [samples]

**Definitions** Let $ L_1: y = m_1 x + b_1 $ and $ L_2: y = m_2 x + b_2 $ be two linear equations in slope-intercept form. **Constraints** - $ m_1, m_2, b_1, b_2 \in \mathbb{R} $ - $ m_1 $ and $ m_2 $ are explicitly given as coefficients of $ x $, possibly including implicit 1 (e.g., "x" means $ 1x $). **Objective** Determine if $ L_1 \parallel L_2 $: $$ \text{Output } \begin{cases} \text{"PARALLEL"} & \text{if } m_1 = m_2 \\ \text{"NOT PARALLEL"} & \text{otherwise} \end{cases} $$

API Response (JSON)

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