Binary search tree: insert

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]".

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