AVL树:带有平衡条件的二叉查找树,即一棵AVL树是其每个节点的左子树和右子树的高度最多相差1的二叉查找树。一般通过Single Rotate和Double Rotate来保持AVL树的平衡。
AVL树的实现如下:
1) Single Rotate ( SingleRotateWithRight同理)
static Position SingleRotateWithLeft(Position K2)
{
Position K1;
K1=K2->Left;
K2->Left=K1->Right;
K1->Right=K2;
K2->Height=Max(Height(K2->Left),Height(K2->Right))+;
K1->Height=Max(Height(K1->Left),Height(K1->Right))+;
return K1;
}
2)Double Rotate(DoubleRotateWithRight同理)
static Position DoubleRotateWithLeft(Position K3)
{
K3->Left=SingleRotateWithRight(K3->Left);
return SingleRotateWithLeft(K3);
}