def _bst_new_node(name, phone): return {'name': name, 'phone': phone, 'left': None, 'right': None} def bst_insert(root, name, phone): if root is None: return _bst_new_node(name, phone) if name == root['name']: root['phone'] = phone elif name < root['name']: root['left'] = bst_insert(root['left'], name, phone) else: root['right'] = bst_insert(root['right'], name, phone) return root def bst_find(root, name): if root is None: return None if name == root['name']: return root['phone'] elif name < root['name']: return bst_find(root['left'], name) else: return bst_find(root['right'], name) def _bst_min_node(root): node = root while node['left'] is not None: node = node['left'] return node def bst_delete(root, name): if root is None: return None if name < root['name']: root['left'] = bst_delete(root['left'], name) elif name > root['name']: root['right'] = bst_delete(root['right'], name) else: # node found — three cases if root['left'] is None: return root['right'] if root['right'] is None: return root['left'] # two children: replace node with in-order successor successor = _bst_min_node(root['right']) root['name'] = successor['name'] root['phone'] = successor['phone'] root['right'] = bst_delete(root['right'], successor['name']) return root def bst_list_all(root): if root is None: return [] return bst_list_all(root['left']) + [(root['name'], root['phone'])] + bst_list_all(root['right'])