📄 fig12_38.cpp
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/**
* Internal method to remove from a subtree.
* x is the item to remove.
* t is the node that roots the tree.
* Set the new root of the subtree.
*/
void remove( const Comparable & x, AANode * & t )
{
static AANode *lastNode, *deletedNode = nullNode;
if( t != nullNode )
{
// Step 1: Search down the tree and set lastNode and deletedNode
lastNode = t;
if( x < t->element )
remove( x, t->left );
else
{
deletedNode = t;
remove( x, t->right );
}
// Step 2: If at the bottom of the tree and
// x is present, we remove it
if( t == lastNode )
{
if( deletedNode == nullNode || x != deletedNode->element )
return; // Item not found; do nothing
deletedNode->element = t->element;
deletedNode = nullNode;
t = t->right;
delete lastNode;
}
// Step 3: Otherwise, we are not at the bottom; rebalance
else
if( t->left->level < t->level - 1 ||
t->right->level < t->level - 1 )
{
if( t->right->level > --t->level )
t->right->level = t->level;
skew( t );
skew( t->right );
skew( t->right->right );
split( t );
split( t->right );
}
}
}
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