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Insert Interval (Interval, Challenging)

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Final answer:

The 'Insert Interval' question involves adding a new interval to a set of existing intervals in mathematics, ensuring they remain non-overlapping by potentially merging any adjacent or overlapping intervals.

Step-by-step explanation:

The term 'Insert Interval' is related to a concept in mathematics, specifically within the study of intervals. In mathematics, intervals represent a range of numbers between two endpoints. The challenge of inserting an interval typically involves adding a new interval to a list of existing non-overlapping intervals in a way that the resulting list remains non-overlapping and may involve merging intervals that become adjacent or overlap after the insertion.

Example:

Suppose we have a list of intervals [1,3], [6,9] and we want to insert a new interval [2,5]. The resulting list after the insertion and merging of overlapping intervals would be [1,5], [6,9].

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