Non-overlapping Intervals — LeetCode 435 Python Solution

MediumGreedyArrayDynamic ProgrammingSorting
Problem
#435
Pattern
Greedy
Reading time
2 min

The problem

Given an array of intervals intervals where intervals[i] = [starti, endi], return the minimum number of intervals you need to remove to make the rest of the intervals non-overlapping. Note that intervals which only touch at a point are non-overlapping.

Example

Input
intervals = [[1,2],[2,3],[3,4],[1,3]]
Output
1
Explanation
[1,3] can be removed and the rest of the intervals are non-overlapping.

Python solution

Python
class Solution:
    def eraseOverlapIntervals(self, intervals: List[List[int]]) -> int:
        intervals.sort(key=lambda x: x[1])
        ans = len(intervals)
        pre = -inf
        for l, r in intervals:
            if pre <= l:
                ans -= 1
                pre = r
        return ans

Complexity

MeasureComplexity
TimeO(n \times \log n)
SpaceO(\log n), where n is the number of intervals auxiliary

Pattern: Greedy

Take the locally best option every time — when you can prove that never costs you later. LeetCode 435. Non-overlapping Intervals is filed here because LeetCode tags it Greedy, which is the vocabulary this hub collects.

The greedy guide has the Python template for the pattern and the 346 LeetCode problems that use it.

Related problems

On study lists

This problem is on Blind 75, NeetCode 150 and LeetCode 75.

Frequently asked questions

How hard is LeetCode 435. Non-overlapping Intervals?
LeetCode 435. Non-overlapping Intervals is rated Medium on LeetCode.
What is the time complexity of LeetCode 435. Non-overlapping Intervals?
The Python solution on this page runs in O(n \times \log n).
What is the space complexity of LeetCode 435. Non-overlapping Intervals?
The Python solution on this page uses O(\log n), where n is the number of intervals auxiliary space.
What topics does LeetCode 435. Non-overlapping Intervals cover?
LeetCode 435. Non-overlapping Intervals is tagged Greedy, Array, Dynamic Programming and Sorting on LeetCode.

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