题目
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
思路
在众多的intervals中,总是优先拿end比较小的interval,因为end越小,表明接下来所能够提供的容量越大。
将intervals序列按end排序,随后遍历序列,当遇到存在覆盖的interval时,则删除它,最后记录删除的interval的个数。
代码
python版本:
class Solution:
def eraseOverlapIntervals(self, intervals: List[List[int]]) -> int:
end, cnt = -math.inf, 0
for x, y in sorted(intervals, key=lambda x: x[1]):
if x >= end:
end = y
else:
cnt += 1
return cnt