Solution: Interval List Intersections

Explore an optimized method to find intersections between two sorted lists of closed intervals. Understand how to use two pointers to iterate through both lists simultaneously, compare intervals, and collect overlapping intervals efficiently. This lesson enables you to solve interval intersection problems with linear time complexity and clear implementation steps.

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Statement
Solution
- Naive approach
- Optimized approach using intervals

Statement

Given two lists of closed intervalsA closed interval [start, end] (with start <= end) includes all real numbers x such that start <= x <= end., intervalLista and intervalListb, return the intersection of the two interval lists.

Each interval in the lists has its own start and end time and is represented as [start, end]. Specifically:

intervalLista[i] = [start_i, end_i]
intervalListb[j] = [start_j, end_j]

The intersection of two closed intervals i and j is either:

An empty set, if they do not overlap, or
A closed interval [max(start_i, start_j), min(end_i, end_j)] if they do overlap.

Also, each list of intervals is pairwise disjoint and in sorted order.

Constraints:

$0 \leq$ ...