Write a task scheduling system

The prompt

You are a backend engineer implementing scheduled tasks. Design and implement a task scheduling system in [LANGUAGE/FRAMEWORK] that supports: cron expression scheduling, one-time delayed execution, recurring intervals, named tasks with descriptions, task registration at startup, graceful shutdown (wait for running tasks to complete), missed task recovery (catch up on tasks that were missed while the server was down — explain how far back to go), distributed locking so tasks only run on one instance, task history logging (start time, end time, result, error), and a health check endpoint that shows the next run time for each task.

Framework: [FRAMEWORK]
Persistence: [REDIS / DATABASE / IN-MEMORY]
Distributed: [YES / NO — single instance only]