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435.Non-overlapping-Intervals.md

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435. Non overlapping Intervals


题目地址

https://leetcode.com/problems/non-overlapping-intervals/

题目描述

Given a collection of intervals, find the minimum number of intervals you need to remove to make the rest of the intervals non-overlapping.

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

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

Example 3:
Input: [[1,2],[2,3]]
Output: 0
Explanation: You don't need to remove any of the intervals since they're already non-overlapping.
 
Note:
You may assume the interval's end point is always bigger than its start point.
Intervals like [1,2] and [2,3] have borders "touching" but they don't overlap each other.

代码

Approach #1

Time: O(nlogn) && Space: O(1)

class Solution {
    public int eraseOverlapIntervals(int[][] intervals) {
        if (intervals.length == 0)  return 0;
        Arrays.sort(intervals, (a, b) -> {
            return a[1] - b[1];
        });
            
        int cnt = 1;
        int end = intervals[0][1];
        for (int i = 1; i < intervals.length; i++) {
            if (intervals[i][0] >= end) {
                cnt++;
                end = intervals[i][1];
            }
        }
        
        return intervals.length - cnt;
    }
}