Remove Covered Intervals — LeetCode 1288 Python Solution

MediumArraySorting
Problem
#1288
Pattern
Sorting
Reading time
2 min

The problem

Given an array intervals where intervals[i] = [li, ri] represent the interval [li, ri), remove all intervals that are covered by another interval in the list. The interval [a, b) is covered by the interval [c, d) if and only if c <= a and b <= d.

Example

Input
intervals = [[1,4],[3,6],[2,8]]
Output
2
Explanation
Interval [3,6] is covered by [2,8], therefore it is removed.

Python solution

Python
class Solution:
    def removeCoveredIntervals(self, intervals: List[List[int]]) -> int:
        intervals.sort(key=lambda x: (x[0], -x[1]))
        ans = 0
        pre = -inf
        for _, cur in intervals:
            if cur > pre:
                ans += 1
                pre = cur
        return ans

Complexity

MeasureComplexity
TimeO(n \times \log n)
SpaceO(\log n) auxiliary

Pattern: Sorting

Spend O(n log n) once to buy an ordering that makes the rest of the problem trivial. LeetCode 1288. Remove Covered Intervals is filed here because LeetCode tags it Sorting, which is the vocabulary this hub collects.

The sorting guide has the Python template for the pattern and the 401 LeetCode problems that use it.

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Frequently asked questions

How hard is LeetCode 1288. Remove Covered Intervals?
LeetCode 1288. Remove Covered Intervals is rated Medium on LeetCode.
What is the time complexity of LeetCode 1288. Remove Covered Intervals?
The Python solution on this page runs in O(n \times \log n).
What is the space complexity of LeetCode 1288. Remove Covered Intervals?
The Python solution on this page uses O(\log n) auxiliary space.
What topics does LeetCode 1288. Remove Covered Intervals cover?
LeetCode 1288. Remove Covered Intervals is tagged Array and Sorting on LeetCode.

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