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Solution: Data Stream as Disjoint Intervals

Solution: Data Stream as Disjoint Intervals

Let’s solve the Data Stream as Disjoint Intervals problem using the Intervals pattern.

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:

  • 00 \leq value 104\leq 10^4 ...