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Quick Summary
Maintain cumulative speed values and active record counts across overlapping half-open intervals.
Support efficient range updates and point queries over a coordinate space up to 10^9.
Accurately track duplicate records to enable precise addition and removal operations.
What This Tests
Dynamic or sparse segment tree construction
Path-based range updates without full lazy propagation
Managing large coordinate ranges without dense arrays
Auxiliary state tracking for exact duplicate matching
Common Patterns
Hashing
Divide and Conquer
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