Maximum Meetings

I am the boss of my company. I have n employees. The office time of my company starts at 1. Every employee has his own working period. From the starting of the office time, whenever at a time, exactly k employees have at least t unit time (inclusive) common to their working periods, they immediately start a meeting and an employee can participate in at most 1 meeting. A meeting doesn’t need a time interval. So, common time interval t is only for the criteria to start a meeting.

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