Question: The B-tree insertion method in the book always splits a full child node whenever it is encountered, before the algorithm descends into the child. To

The B-tree insertion method in the book always splits a full child node whenever it is encountered, before the algorithm descends into the child. To keep things simple, assume t = 2 for all your answers.

(2a) Show (by an example) that it is not always necessary to split the node.

(2d) Describe (in words and pseudo-code) an algorithm where a node is split only if it is absolutely required to be split, without increasing the time complexity of the insertion.

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