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MediumLeetCode #56Intervals

Merge Intervals

Given an array of intervals where intervals[i] = [starti, endi], merge all overlapping intervals, and return an array of the non-overlapping intervals that cover all the intervals in the input.

Constraints
1 <= intervals.length <= 10^4, intervals[i].length == 2
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Examples
Input: intervals = [[1,3],[2,6],[8,10],[15,18]]
Output: [[1,6],[8,10],[15,18]]
Solution

Approach

Sort by start time. Iterate and merge if current overlaps with previous (start <= prev end). Otherwise start new interval.

def merge(intervals):
    intervals.sort(key=lambda x: x[0])
    merged = [intervals[0]]
    for start, end in intervals[1:]:
        if start <= merged[-1][1]:
            merged[-1][1] = max(merged[-1][1], end)
        else:
            merged.append([start, end])
    return merged
Complexity
Time:O(n log n)
Space:O(n)
Hints
  • 1.Sort intervals by start time
  • 2.Two intervals overlap if second starts before first ends
  • 3.Merge by extending end time
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