Update 0513.找树左下角的值.md

problems/0513.找树左下角的值.md

@@ -271,52 +271,80 @@ class Solution {
 
 
 ### Python 
-
-递归:
+（版本一）递归法 + 回溯
 ```python
 class Solution:
     def findBottomLeftValue(self, root: TreeNode) -> int:
-        max_depth = -float("INF")
-        leftmost_val = 0
+        self.max_depth = float('-inf')
+        self.result = None
+        self.traversal(root, 0)
+        return self.result
+    
+    def traversal(self, node, depth):
+        if not node.left and not node.right:
+            if depth > self.max_depth:
+                self.max_depth = depth
+                self.result = node.val
+            return
+        
+        if node.left:
+            depth += 1
+            self.traversal(node.left, depth)
+            depth -= 1
+        if node.right:
+            depth += 1
+            self.traversal(node.right, depth)
+            depth -= 1
 
-        def __traverse(root, cur_depth): 
-            nonlocal max_depth, leftmost_val
-            if not root.left and not root.right: 
-                if cur_depth > max_depth: 
-                    max_depth = cur_depth
-                    leftmost_val = root.val  
-            if root.left: 
-                cur_depth += 1
-                __traverse(root.left, cur_depth)
-                cur_depth -= 1
-            if root.right: 
-                cur_depth += 1
-                __traverse(root.right, cur_depth)
-                cur_depth -= 1
-
-        __traverse(root, 0)
-        return leftmost_val
 ```
 
-迭代 - 层序遍历:
+（版本二）递归法+精简
 ```python
 class Solution:
     def findBottomLeftValue(self, root: TreeNode) -> int:
-        queue = deque()
-        if root: 
-            queue.append(root)
-        result = 0
-        while queue: 
-            q_len = len(queue)
-            for i in range(q_len): 
-                if i == 0: 
-                    result = queue[i].val 
-                cur = queue.popleft()
-                if cur.left: 
-                    queue.append(cur.left)
-                if cur.right: 
-                    queue.append(cur.right)
-        return result
+        self.max_depth = float('-inf')
+        self.result = None
+        self.traversal(root, 0)
+        return self.result
+    
+    def traversal(self, node, depth):
+        if not node.left and not node.right:
+            if depth > self.max_depth:
+                self.max_depth = depth
+                self.result = node.val
+            return
+        
+        if node.left:
+            self.traversal(node.left, depth+1)
+        if node.right:
+            self.traversal(node.right, depth+1)
+```
+
+(版本三） 迭代法
+```python
+# Definition for a binary tree node.
+# class TreeNode:
+#     def __init__(self, val=0, left=None, right=None):
+#         self.val = val
+#         self.left = left
+#         self.right = right
+from collections import deque
+class Solution:
+    def findBottomLeftValue(self, root: Optional[TreeNode]) -> int:
+        queue = deque([root])
+        while queue:
+            size = len(queue)
+            leftmost = queue[0].val
+            for i in range(size):
+                node = queue.popleft()
+                if node.left:
+                    queue.append(node.left)
+                if node.right:
+                    queue.append(node.right)
+            if not queue:
+                return leftmost
+
+
 ```
 
 ### Go