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The root may be either a leaf or a node with two or more children. O operations required to find an element in the tree. The root is an exception: it is allowed to have as few as two children. The root is also the single leaf, in this case. Tree represents the whole range of values in the tree, where every internal node is a subinterval. At each node, we figure out which internal pointer we should follow.
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We select the corresponding node by searching on the key values of the node. This pseudocode assumes that no duplicates are allowed. It is important to increase fan-out, as this allows to direct searches to the leaf level more efficiently. Index Entries are only to ‘direct traffic’, thus we can compress them. Perform a search to determine what bucket the new record should go into. Repeat until a parent is found that need not split. If the root splits, treat it as if it has an empty parent and split as outline above.