Complexity Breakdown
Given that the input intervals are already sorted, our solution exhibits a linear time complexity of (O(n)) and linear space complexity. This is because we iterate through each of the (n) intervals exactly once.
The Final Logic: A Code Snapshot
The final logic could be understood as below (actual code not shown here). While iterating through the sorted array:
- Check for overlap with the
lastinterval. - Extend
lastif there's an overlap. - Append to
resultin case of a clear separation.
By following this systematic approach, merging time intervals becomes a straightforward task, completely doable within reasonable time and space constraints.