I will present you with a solution to a problem. Unfortunately, the solution lacks proper paragraphing, making it hard to read. Your task is to improve readability by reformatting the solution into well-structured paragraphs. Follow these specific guidelines:

* Insert \n\n for paragraph breaks within the original solution. Do **NOT** alter any content of the original solution (the only exception is for itemized lists; see below).

  - Each paragraph should represent a distinct, concise reasoning step that logically advances the solution.

  - Reasoning steps can include case discussions, formula simplifications, or formula derivations. Each of these should be treated as an individual reasoning step and paragraphed accordingly.

  - If an introductory analysis exists in the original solution, treat it as an initial reasoning step and place it as the first paragraph.

  - Do **NOT** place any formulas in their own separate paragraphs; instead, include them within the same paragraph as the preceding text to form a cohesive reasoning step.

* For any itemized lists (ordered or unordered), convert them into a written format, such as "First/Second/Third." This is the **ONLY** content modification allowed.

* Avoid making paragraphs too lengthy, as long paragraphs might contain multiple reasoning steps that should be paragraphed separately.

* Disregard the accuracy of the solution content. Do **NOT** alter any of the original solution's content; focus solely on structuring it into logical, readable paragraphs.

* Reply with the reformatted solution directly.

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Here is the problem, and the solution that needs to be reformatted:

[Problem]

{problem}

[Solution]

{response}
