DSA Problems/πŸ“Intervals

Merge Intervals

ArraySorting

Problem Statement

Given an array of intervals where intervals[i] = [start_i, end_i], merge all overlapping intervals and return an array of non-overlapping intervals.

Approach

Sort intervals by start. Iterate and merge if current overlaps with previous.

Complexity Analysis

MetricValue
TimeO(n log n)
SpaceO(n)

Examples

Example 1

Input: intervals = [[1,3],[2,6],[8,10],[15,18]] Output: [[1,6],[8,10],[15,18]] Explanation: [1,3] and [2,6] overlap

Example 2

Input: intervals = [[1,4],[4,5]] Output: [[1,5]] Explanation: [1,4] and [4,5] overlap

Constraints

  • β–Έ1 <= intervals.length <= 10^4
  • β–Έintervals[i].length == 2
  • β–Έ0 <= start_i <= end_i <= 10^4
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