Interval List Intersections

Medium

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You are given two lists of closed intervals, firstList and secondList, where firstList[i] = [start[i], end[i]] and secondList[j] = [start[j], end[j]]. Each list of intervals is pairwise disjoint and in sorted order.

Return the intersection of these two interval lists.

A closed interval [a, b] (with a <= b) denotes the set of real numbers x with a <= x <= b.

The intersection of two closed intervals is a set of real numbers that are either empty or represented as a closed interval. For example, the intersection of [1, 3] and [2, 4] is [2, 3].

Example 1:

Input: firstList = [[0,2],[5,10],[13,23],[24,25]], secondList = [[1,5],[8,12],[15,24],[25,26]]

Output: [[1,2],[5,5],[8,10],[15,23],[24,24],[25,25]]

Example 2:

Input: firstList = [[1,3],[5,9]], secondList = []

Output: []

Constraints:

  • 0 <= firstList.length, secondList.length <= 1000
  • firstList.length + secondList.length >= 1
  • 0 <= start[i] < end[i] <= 1,000,000,000
  • 0 <= start[j] < end[j] <= 1,000,000,000
  • end[i] < start[i+1]
  • end[j] < start[j+1]


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firstList =

secondList =