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Solution: Data Stream as Disjoint Intervals

Explore how to summarize a data stream of integers into disjoint intervals using the intervals pattern. Learn to merge and update intervals efficiently when adding new values, understanding the underlying algorithm, its time and space complexity, and practical implementation in Go.

Statement

You are given a stream of non-negative integers a1,a2,,ana_1, a_2, \dots, a_n. At any point, you need to summarize all numbers seen so far as a list of disjoint intervals.

Your task is to implement the Summary Ranges class, where:

  • Constructor: Initializes the Summary Ranges object with an empty stream.

  • Add Num(int value): Adds the integer value to the stream.

  • Get Intervals(): Returns the current summary of numbers as a list of disjoint intervals [start_i, end_i], sorted by start_i.

Note: Each number belongs to exactly one interval. Intervals must merge whenever new numbers connect or extend existing ones, and duplicate insertions should not affect the summary.

Constraints:

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