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Solution: The Number of the Smallest Unoccupied Chair

Understand how to manage dynamic chair assignments at a party using two min heaps for available and occupied chairs. Learn to sort arrivals, efficiently assign chairs by smallest number, and release chairs upon departure, optimizing both time and space complexity.

Statement

At a party, nn friends, numbered from 00 to n1n - 1, arrive and leave at different times. There are infinitely many chairs, numbered 00 onwards. Each arriving friend sits on the smallest available chair at that moment.

For example, ...