feat: add rust docs (#815)

* feat: add rust docs

* Import std types for built_in_hash doc

docs/chapter_tree/array_representation_of_tree.md

@@ -99,7 +99,9 @@
 === "Rust"
 
     ```rust title=""
-
+    /* 二叉树的数组表示 */
+    // 使用 None 来标记空位
+    let tree = [Some(1), Some(2), Some(3), Some(4), None, Some(6), Some(7), Some(8), Some(9), None, None, Some(12), None, None, Some(15)];
     ```
 
 === "C"

docs/chapter_tree/avl_tree.md

@@ -153,7 +153,28 @@ AVL 树既是二叉搜索树也是平衡二叉树，同时满足这两类二叉
 === "Rust"
 
     ```rust title=""
+    use std::rc::Rc;
+    use std::cell::RefCell;
 
+    /* AVL 树节点类型 */
+    struct TreeNode {
+        val: i32,                               // 节点值
+        height: i32,                            // 节点高度
+        left: Option<Rc<RefCell<TreeNode>>>,    // 左子节点
+        right: Option<Rc<RefCell<TreeNode>>>,   // 右子节点
+    }
+
+    impl TreeNode {
+        /* AVL 树节点构造方法 */
+        fn new(val: i32) -> Rc<RefCell<Self>> {
+            Rc::new(RefCell::new(Self {
+                val,
+                height: 0,
+                left: None,
+                right: None
+            }))
+        }
+    }
     ```
 
 === "C"

docs/chapter_tree/binary_tree.md

@@ -126,7 +126,26 @@
 === "Rust"
 
     ```rust title=""
+    use std::rc::Rc;
+    use std::cell::RefCell;
 
+    /* 二叉树节点类型 */
+    struct TreeNode {
+        val: i32,                               // 节点值
+        left: Option<Rc<RefCell<TreeNode>>>,    // 左子节点引用
+        right: Option<Rc<RefCell<TreeNode>>>,   // 右子节点引用
+    }
+
+    impl TreeNode {
+        /* 二叉树节点构造方法 */
+        fn new(val: i32) -> Rc<RefCell<Self>> {
+            Rc::new(RefCell::new(Self {
+                val,
+                left: None,
+                right: None
+            }))
+        }
+    }
     ```
 
 === "C"
@@ -346,7 +365,17 @@
 === "Rust"
 
     ```rust title="binary_tree.rs"
-
+    // 初始化节点
+    let n1 = TreeNode::new(1);
+    let n2 = TreeNode::new(2);
+    let n3 = TreeNode::new(3);
+    let n4 = TreeNode::new(4);
+    let n5 = TreeNode::new(5);
+    // 构建引用指向（即指针）
+    n1.borrow_mut().left = Some(n2.clone());
+    n1.borrow_mut().right = Some(n3);
+    n2.borrow_mut().left = Some(n4);
+    n2.borrow_mut().right = Some(n5);
     ```
 
 === "C"
@@ -487,7 +516,12 @@
 === "Rust"
 
     ```rust title="binary_tree.rs"
-
+    let p = TreeNode::new(0);
+    // 在 n1 -> n2 中间插入节点 P
+    n1.borrow_mut().left = Some(p.clone());
+    p.borrow_mut().left = Some(n2.clone());
+    // 删除节点 p
+    n1.borrow_mut().left = Some(n2);
     ```
 
 === "C"