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@@ -298,6 +298,30 @@ comments: true
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}
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```
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=== "Rust"
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```rust title="binary_tree_bfs.rs"
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/* 层序遍历 */
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fn level_order(root: &Rc<RefCell<TreeNode>>) -> Vec<i32> {
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// 初始化队列,加入根结点
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let mut que = VecDeque::new();
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que.push_back(Rc::clone(&root));
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// 初始化一个列表,用于保存遍历序列
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let mut vec = Vec::new();
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while let Some(node) = que.pop_front() { // 队列出队
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vec.push(node.borrow().val); // 保存结点值
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if let Some(left) = node.borrow().left.as_ref() {
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que.push_back(Rc::clone(left)); // 左子结点入队
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}
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if let Some(right) = node.borrow().right.as_ref() {
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que.push_back(Rc::clone(right)); // 右子结点入队
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};
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}
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vec
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}
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```
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**时间复杂度**:所有节点被访问一次,使用 $O(n)$ 时间,其中 $n$ 为节点数量。
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**空间复杂度**:在最差情况下,即满二叉树时,遍历到最底层之前,队列中最多同时存在 $\frac{n + 1}{2}$ 个节点,占用 $O(n)$ 空间。
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@@ -682,6 +706,49 @@ comments: true
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}
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```
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=== "Rust"
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```rust title="binary_tree_dfs.rs"
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/* 前序遍历 */
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fn pre_order(root: Option<&Rc<RefCell<TreeNode>>>) -> Vec<i32> {
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let mut result = vec![];
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if let Some(node) = root {
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// 访问优先级:根结点 -> 左子树 -> 右子树
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result.push(node.borrow().val);
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result.append(&mut pre_order(node.borrow().left.as_ref()));
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result.append(&mut pre_order(node.borrow().right.as_ref()));
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}
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result
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}
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/* 中序遍历 */
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fn in_order(root: Option<&Rc<RefCell<TreeNode>>>) -> Vec<i32> {
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let mut result = vec![];
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if let Some(node) = root {
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// 访问优先级:左子树 -> 根结点 -> 右子树
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result.append(&mut in_order(node.borrow().left.as_ref()));
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result.push(node.borrow().val);
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result.append(&mut in_order(node.borrow().right.as_ref()));
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}
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result
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}
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/* 后序遍历 */
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fn post_order(root: Option<&Rc<RefCell<TreeNode>>>) -> Vec<i32> {
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let mut result = vec![];
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if let Some(node) = root {
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// 访问优先级:左子树 -> 右子树 -> 根结点
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result.append(&mut post_order(node.borrow().left.as_ref()));
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result.append(&mut post_order(node.borrow().right.as_ref()));
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result.push(node.borrow().val);
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}
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result
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}
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```
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**时间复杂度**:所有节点被访问一次,使用 $O(n)$ 时间,其中 $n$ 为节点数量。
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**空间复杂度**:在最差情况下,即树退化为链表时,递归深度达到 $n$ ,系统占用 $O(n)$ 栈帧空间。
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