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A balance splitting for a full node with
m
max entries is as follows:For example the Inner Node,
m
must be even (to support preemptive splitting), thus the number of the key iscount=m-1
, whilecount
is odd. The node is split into two nodes each withfloor(count/2)
node, and the center node is inserted into the parent.In previous implementation, the inner node is split into nodes with
count-ceil(count/2)-1
andceil(count/2)
keys. For example, whenm=4
, the full inner node with 3 keys is split into nodes with3-ceil(3/2)-1 = 0
andceil(3/2) = 2
keys. Which is imbalance and conflict with to BTree's definition, that "Every internal node has at least ⌈m/2⌉ children".