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Track the formation of contiguous house segments on a number line as positions are added sequentially.
After each insertion, determine and record the length of the longest currently formed block.
Input guarantees prevent simultaneous bridging of two separate segments in a single step.
What This Tests
Dynamic interval state management
Efficient lookup and update strategies using hash maps
Boundary endpoint tracking optimization
Sequential processing with running aggregates
Common Patterns
Hashing
Union Find
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