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How many key values you can enter in a leaf and non-leaf node of a B+ tree?

Suppose a key value is 9 bytes, pointer is 7 bytes and page size is 512 bytes. How many key values you can enter in a leaf and non-leaf node of a B+ tree?

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Given data for B+ Tree -

Page Size of Data = D = 512 byte

Pointer = B = 7 byte

Key Valye = K = 9 byte

To find -

How many key values you can enter in a leaf and non-leaf node of a B+ tree = ?

Formula -

$$p * B + (p - 1)*K \le D$$

Where,

p represents the order of an internal node in a B+ tree index that is the maximum number of children or leaf & non-leaf nodes it can have.

Solution -

$$p * B + (p - 1)*K \le D$$

$$p * 7 + (p - 1)*9 \le 512$$

$$7p + 9p - 9 \le 512$$

$$7p + 9p \le 521$$

$$16p \le 521$$

$$p \le 32.56$$

$$p = 32$$

Therefore,

Total 32 key values can be entered in a leaf and non-leaf node of a B+ tree.

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