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The Number of the Smallest Unoccupied Chair

Explore how to solve a problem involving friends arriving and leaving party chairs, using heaps to track the smallest available chair. Learn to manage dynamic seating allocation by processing arrival and leaving times, ensuring you understand how to identify which chair a target friend will occupy.

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, if chairs 00, ...