Build a Blog Post Management System

Problem/Feature Description

Build a Next.js App Router application for managing blog posts. The system needs both a public-facing API for external consumers (RSS readers, mobile apps) and an admin interface for creating and editing posts.

Requirements:

• Public API endpoints for reading posts (consumed by external clients)
• Admin form for creating new posts (used only from the web UI)
• Admin form for editing existing posts
• Posts have: title, content, author, slug (URL-friendly), published (boolean)
• Slugs must be unique

Use in-memory storage.

Output Specification

Produce:

• API route handlers for the public endpoints
• Server Actions for the admin forms
• A page to list posts
• A page/form to create a new post
• package.json with dependencies

You may create additional files as needed.