How would you go about writing a JavaScript function named getElementsByStyle to find DOM elements with a specific CSS style, and what traversal strategy would you use?

Very hard Difficulty

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Javascript question

JavaScript questions test your proficiency with this versatile programming language. Demonstrate your understanding of language fundamentals, asynchronous programming, frameworks, and how you build dynamic web applications.

Here's a Hint

Consider DOM traversal methods like breadth-first or depth-first search, addressing browser compatibility and performance optimization.