[Leetcode] 0435. Non-overlapping Intervals

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內容目錄

Medium

 


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

Python

				
					# time complexity: O(nlogn)
# space complexity: O(n)
from typing import List


class Solution:
    def eraseOverlapIntervals(self, intervals: List[List[int]]) -> int:
        intervals.sort(key=lambda x: x[1])
        k = -float("inf")
        ans = 0
        for x, y in intervals:
            if x >= k:
                k = y
            else:
                ans += 1
        return ans


intervals = [[1, 2], [2, 3], [3, 4], [1, 3]]
print(Solution().eraseOverlapIntervals(intervals))
				
			
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