lc56. Merge Intervals

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  1. Merge Intervals Medium

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Share Given a collection of intervals, merge all overlapping intervals.

Example 1:

Input: [[1,3],[2,6],[8,10],[15,18]] Output: [[1,6],[8,10],[15,18]] Explanation: Since intervals [1,3] and [2,6] overlaps, merge them into [1,6]. Example 2:

Input: [[1,4],[4,5]] Output: [[1,5]] Explanation: Intervals [1,4] and [4,5] are considered overlapping. NOTE: input types have been changed on April 15, 2019. Please reset to default code definition to get new method signature.

思路:先对输入排序,然后遍历新的序列,如果res为空或者res的最后一个元素和新的元素没有交集,res.append(newValue),否则更新res的最后一个元素的右边界

代码:python3

class Solution:
    def merge(self, intervals: List[List[int]]) -> List[List[int]]:
        intervals.sort(key=lambda x:x[0])
        print(intervals)
        res=[]
        for interval in intervals:
            if not res or interval[0]>res[-1][1] :
                res.append(interval)
            else:
                res[-1][1]=max(interval[1],res[-1][1])
        return res

if __name__ == '__main__':
    print(Solution().merge([[0,2],[5,10],[13,23],[24,25],[1,5],[8,12],[15,24],[25,26]])) 

时间复杂度: 遍历为N,排序为NlogN,总的为O(NlogN) 空间复杂度: O(logN)排序所要空间