Non-overlapping Intervals

Medium~25 min

Given an array of intervals intervals where intervals[i] = [start_i, end_i], 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. For example, [1, 2] and [2, 3] are non-overlapping.

Examples

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 non-overlapping.
Example 3
Input: intervals = [[1,2],[2,3]]
Output: 0
Explanation: You do not need to remove any intervals since they are already non-overlapping.

Constraints

  • 1 <= intervals.length <= 10^5
  • intervals[i].length == 2
  • -5 * 10^4 <= start_i < end_i <= 5 * 10^4
  • Expected time complexity: O(n log n)
Code
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Output

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