Binary search tree: insert

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General Information

Algorithmic problem: Sorted sequence: insert

Type of algorithm: loop

Auxiliary data: A pointer p of type "pointer to binary search tree node of type [math]\displaystyle{ \kappa }[/math]".

Abstract View

Induction Basis

Induction Step

Copmplexity

Pseudocode

TREE-INSERT(T, z)

y = Null
x = root(T)
while x ≠ NULL
y = x
if key[z] < key[x]
then x = left[x]
then x = right[x]
p[z] = y
if y = NULL
then root[T] = z //Tree was empty
else if key[z] < key[y]
then left[y] = z
else right[y] = z