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y->right.get();\n }\n return y;\n }\n\n void Insert(const T& key) {\n auto z = std::make_unique>(key);\n BSTNode* y = nullptr;\n auto x = root.get();\n BSTNode* pred = nullptr;\n while (x) {\n y = x;\n if (key < x->key) {\n x = x->left.get();\n } else {\n pred = x;\n x = x->right.get();\n }\n }\n if (!y) {\n root = std::move(z);\n } else if (key < y->key) {\n z->succ = y;\n if (pred) {\n pred->succ = z.get();\n }\n y->left = std::move(z);\n } else {\n z->succ = y->succ;\n y->succ = z.get();\n y->right = std::move(z);\n }\n }\n\n void Transplant(BSTNode* u, std::unique_ptr>&& v) {\n auto p = Parent(u);\n if (!p) {\n root = std::move(v);\n } else if (u == p->left.get()) {\n p->left = std::move(v);\n } else {\n p->right = std::move(v);\n }\n }\n\n void Delete(BSTNode* z) {\n if (!z) {\n return;\n }\n BSTNode* pred = nullptr;\n if (z->left) {\n pred = Maximum(z->left.get());\n } else {\n auto y = Parent(z);\n auto x = z;\n while (y && x == y->left.get()) {\n x = y;\n y = Parent(y);\n }\n pred = y;\n }\n pred->succ = z->succ;\n if (!z->left) {\n Transplant(z, std::move(z->right));\n } else if (!z->right) {\n Transplant(z, std::move(z->left));\n } else {\n auto y1 = z->right.get();\n std::unique_ptr> y;\n if (!y1->left) {\n y = std::move(z->right);\n } else {\n while (y1->left) {\n y1 = y1->left.get();\n }\n y = std::move(Parent(y1)->left);\n }\n if (Parent(y.get()) != z) {\n Transplant(y.get(), std::move(y->right));\n y->right = std::move(z->right);\n }\n y->left = std::move(z->left);\n Transplant(z, std::move(y));\n }\n }\n\n void Delete(const T& key) {\n auto z = Search(key);\n Delete(z);\n }\n\n};\n\ntemplate \nstd::ostream& operator<<(std::ostream& os, BSTNode* node) {\n if (node) {\n os << node->left.get();\n os << node->key << ' ';\n os << node->right.get();\n }\n return os;\n}\n\ntemplate \nstd::ostream& operator<<(std::ostream& os, const BST& tree) {\n os << tree.root.get();\n return os;\n}\n\nint main() {\n BST bst;\n bst.Insert(1);\n bst.Insert(2);\n 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