435. Non-overlapping Intervals

Medium (Trung bình) Python 🔗 Xem trên LeetCode

📋 Đề Bài

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.

 

Example 1:

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.

Example 2:

Input: intervals = [[1,2],[1,2],[1,2]]
Output: 2
Explanation: You need to remove two [1,2] to make the rest of the intervals non-overlapping.

Example 3:

Input: intervals = [[1,2],[2,3]]
Output: 0
Explanation: You don't need to remove any of the intervals since they're already non-overlapping.

 

Constraints:

  • 1 <= intervals.length <= 105
  • intervals[i].length == 2
  • -5 * 104 <= starti < endi <= 5 * 104

🧠 Thuật Toán & Kỹ Thuật

Sorting (Sắp xếp)
⏱️ Thời gian O(n log n)
💾 Không gian O(n)

💻 Lời Giải

Python 0435-non-overlapping-intervals.py
class Solution:
    def eraseOverlapIntervals(self, intervals: List[List[int]]) -> int:
        intervals.sort(key = lambda x: x[1])
        prev, cnt = -inf, 0
        
        for start, end in intervals:
            if start >= prev:
                prev = end
            else:
                cnt += 1
                
        return cnt
        
        # [1, 2], [1, 3], [2, 3], [3, 4]