二叉树高频面试题精讲

二叉树的高频热门面试题大全二叉树是数据结构中的核心内容在技术面试中频繁出现。以下整理了二叉树的高频面试题涵盖基础操作、遍历、性质验证及优化问题附带代码示例语言以Python为主。计算二叉树的最大深度二叉树的深度是从根节点到最远叶子节点的最长路径上的节点数。递归解法通过比较左右子树的深度实现。class TreeNode: def __init__(self, val0, leftNone, rightNone): self.val val self.left left self.right right def maxDepth(root: TreeNode) - int: if not root: return 0 left_depth maxDepth(root.left) right_depth maxDepth(root.right) return max(left_depth, right_depth) 1判断二叉树是否对称对称二叉树要求左右子树镜像对称。递归检查左右子树的节点值及结构。def isSymmetric(root: TreeNode) - bool: def check(left, right): if not left and not right: return True if not left or not right: return False return left.val right.val and check(left.left, right.right) and check(left.right, right.left) return check(root.left, root.right) if root else True二叉树的层次遍历层次遍历BFS按层输出节点值通常借助队列实现。from collections import deque def levelOrder(root: TreeNode) - list[list[int]]: if not root: return [] queue deque([root]) result [] while queue: level_size len(queue) level [] for _ in range(level_size): node queue.popleft() level.append(node.val) if node.left: queue.append(node.left) if node.right: queue.append(node.right) result.append(level) return result验证二叉搜索树BSTBST需满足左子树所有节点小于根节点右子树所有节点大于根节点。通过中序遍历验证是否递增。def isValidBST(root: TreeNode) - bool: prev float(-inf) def inorder(node): nonlocal prev if not node: return True if not inorder(node.left): return False if node.val prev: return False prev node.val return inorder(node.right) return inorder(root)二叉树的前序、中序、后序遍历递归实现三种遍历方式的核心在于访问根节点的时机。def preorder(root: TreeNode) - list[int]: return [root.val] preorder(root.left) preorder(root.right) if root else [] def inorder(root: TreeNode) - list[int]: return inorder(root.left) [root.val] inorder(root.right) if root else [] def postorder(root: TreeNode) - list[int 每一段时光都在教会我们珍惜让我们在生活的奋斗中携手走过每一段美妙的旅程。像阳光一样温暖给身边的人带去力量让每一份善意在生活中交织成为生活的动力与美好。在面对困难时心中要有信念绽放自我的光芒通过坚持与奋斗探求那份属于自己的未来。每个清晨都是新的开始愿我们都能怀揣希望迎接每一天的挑战努力去创造属于自己的未来。生活的美好在于你的坚持心中有梦付出努力未来的每一个瞬间都充满感动与精彩。 baike.irqwpek.cn/Article/648993.html 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