class Solution(object):     def merge(self, intervals):         intervals.sort(key=lambda x: x[0])                  merged = []                  for interval in intervals:             if not merged or merged[-1][1] < interval[0]:                 merged.append(interval)             else:                 merged[-1][1] = max(merged[-1][1], interval[1])                  return merged give a detailed 2-3 sentence analysis of the time complexity and space complexity of this algorithm in big O notation

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class Solution(object):

    def merge(self, intervals):

        intervals.sort(key=lambda x: x[0])

        

        merged = []

        

        for interval in intervals:

            if not merged or merged[-1][1] < interval[0]:

                merged.append(interval)

            else:

                merged[-1][1] = max(merged[-1][1], interval[1])

        

        return merged

give a detailed 2-3 sentence analysis of the time complexity and space complexity of this algorithm in big O notation

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