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Median of Two Sorted Arrays in O(log(m+n)).

This famously-hard problem wants better than the O(m+n) merge: an O(log) binary search on the partition. The signal is binary-searching the split point so the left halves stay below the right halves. Here is the answer.

Updated Aug 2026 · Grounded in real Applied AI Engineer interview loops and written to a senior-engineer editorial bar.

This famously-hard problem wants better than the O(m+n) merge: an O(log) binary search on the partition. The signal is binary-searching the split point so the left halves stay below the right halves. Here is the answer.

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