My first instinct was to just concat both arrays and sort, then do the standard merge pass.
Use a two-pointer technique to traverse both sorted arrays simultaneously, merging intervals on the fly. At each step, pick the interval with the smaller start, then merge it with the last interval in the result if they overlap. Continue until all intervals are processed, then append any remaining intervals from either array.
Pro tip: Clarify upfront whether the input intervals are closed or half-open, as this affects overlap conditions. Also, mention that you can optimize by early termination if one array is exhausted, but ensure to handle the remaining intervals efficiently.
Confirm interval inclusivity (e.g., [start, end] vs [start, end)), and discuss edge cases like empty arrays, single intervals, or non-overlapping intervals.
Set pointers i and j to 0 for arrays A and B, and create an empty list to store merged intervals.
While both pointers are within bounds, compare the start times of A[i] and B[j]. Select the interval with the smaller start, then merge it with the last interval in the result if they overlap; otherwise, append it.
After one array is exhausted, iterate through the remaining intervals in the other array, merging them with the last interval in the result as needed.
Return the result list containing the union of all intervals, sorted by start time.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.