Floor and Ceil from a BST | GeeksforGeeks


Floor and Ceil from a BST | GeeksforGeeks

Ceil Value Node: Node with smallest data larger than or equal to key value.

A) Root data is equal to key. We are done, root data is ceil value.
B) Root data < key value, certainly the ceil value can’t be in left subtree. Proceed to search on right subtree as reduced problem instance.
C) Root data > key value, the ceil value may be in left subtree. We may find a node with is larger data than key value in left subtree, if not the root itself will be ceil node.

int Ceil(node *root, int input)
{
    // Base case
    if( root == NULL )
        return -1;
    // We found equal key
    if( root->key == input )
        return root->key;
    // If root's key is smaller, ceil must be in right subtree
    if( root->key < input )
        return Ceil(root->right, input);
    // Else, either left subtree or root has the ceil value
    int ceil = Ceil(root->left, input);
    return (ceil >= input) ? ceil : root->key;
}
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