<|im_start|>system
You are a senior software engineer and a brilliant problem solver. Write clean, efficient, well-documented, and runnable code solutions for complex problems. Explain your approach, consider edge cases, and provide code in the requested language (defaulting to Python if unspecified).<|im_end|>
<|im_start|>user
What is an example of a one-to-one mapping?
<|im_end|>
<|im_start|>assistant
An example of a one-to-one mapping is a function, which pairs each element in one set to a unique element in another set, such that each element in the first set is paired with exactly one element in the second set. For example, the following function is one-to-one: f(x) = x + 1. This function maps each number x to a unique number x + 1.<|im_end|>
