Calendar Event Aggregator

Your task is to create a program that aggregates events from multiple calendar sources into a single unified calendar. Each calendar source will be provided in a JSON format containing an array of events. Each event will have at least the following properties: event name, start time, end time, and event priority (where a lower numerical value indicates higher priority).

Some events may overlap in time. In these cases:

• The event with the higher priority (i.e., the lower numerical priority value) should be included in the aggregated calendar, while the conflicting lower priority event is excluded.
• If two overlapping events have the same priority, include the event that starts earlier.
• Events that exactly touch (where one event’s end time is equal to another event’s start time) should be considered non-conflicting.

Additionally, your solution should support pagination for the aggregated output. Specifically, implement a mechanism that allows users to specify a page number and page size, and then returns the corresponding slice of events.

Requirements:

• Parse the JSON input from multiple sources, each containing an array of event objects.
• Merge the events into a unified calendar, eliminating conflicting events based on the rules above.
• Provide functionality to output the events in a paginated format (user-defined page number and page size).
• Ensure your solution gracefully handles edge cases.

Example Input:

Source 1:

[
  {
    "name": "Meeting A",
    "start": "2024-12-06T09:00:00",
    "end": "2024-12-06T10:00:00",
    "priority": 1
  },
  {
    "name": "Meeting B",
    "start": "2024-12-06T09:30:00",
    "end": "2024-12-06T10:30:00",
    "priority": 2
  }
]

Source 2:

[
  {
    "name": "Workshop",
    "start": "2024-12-06T10:00:00",
    "end": "2024-12-06T11:00:00",
    "priority": 1
  }
]

Expected Behavior:

• Between "Meeting A" and "Meeting B", only "Meeting A" is included since it has higher priority.
• "Workshop" is included as it does not conflict with the selected events.
• The output should return the results based on user-specified pagination parameters.

Write your solution in the programming language of your choice, ensure that your code is clean, well-documented, and handles edge cases effectively. Include examples of how to run your code and how pagination is implemented.