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We wish to construct a $B^+$ tree with fan-out (the number of pointers per node) equal to 3 for the following set of key values:

80, 50, 10, 70, 30, 100, 90

Assume that the tree is initially empty and the values are added in the order given.

- Show the tree after insertion of 10, after insertion of 30, and after insertion of 90. Intermediate trees need not be shown.
- The key values 30 and 10 are now deleted from the tree in that order show the tree after each deletion.

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