If a red-black tree maintains balance through rotations and color flips during insertions, which outcome ensures the tree's logarithmic search time complexity after each insertion?

💡 Explanation

A loop invariant in red-black tree insertion guarantees specific properties are maintained after each operation, because it ensures the tree remains balanced, thereby preserving logarithmic search time. Therefore, balance is preserved, rather than solely relying on subtree rebalancing or alternating colors which are insufficient.

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