Question

572. 另一棵树的子树

English Version

题目描述

给你两棵二叉树 root 和 subRoot 。检验 root 中是否包含和 subRoot 具有相同结构和节点值的子树。如果存在，返回 true ；否则，返回 false 。

二叉树 tree 的一棵子树包括 tree 的某个节点和这个节点的所有后代节点。tree 也可以看做它自身的一棵子树。

 

示例 1：

输入：root = [3,4,5,1,2], subRoot = [4,1,2]
输出：true

示例 2：

输入：root = [3,4,5,1,2,null,null,null,null,0], subRoot = [4,1,2]
输出：false

 

提示：

• root 树上的节点数量范围是 [1, 2000]
• subRoot 树上的节点数量范围是 [1, 1000]
• -104 <= root.val <= 104
• -104 <= subRoot.val <= 104

解法

方法一

# 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
class Solution:
  def isSubtree(self, root: TreeNode, subRoot: TreeNode) -> bool:
    def dfs(root1, root2):
      if root1 is None and root2 is None:
        return True
      if root1 is None or root2 is None:
        return False
      return (
        root1.val == root2.val
        and dfs(root1.left, root2.left)
        and dfs(root1.right, root2.right)
      )

    if root is None:
      return False
    return (
      dfs(root, subRoot)
      or self.isSubtree(root.left, subRoot)
      or self.isSubtree(root.right, subRoot)
    )

/**
 * Definition for a binary tree node.
 * public class TreeNode {
 *   int val;
 *   TreeNode left;
 *   TreeNode right;
 *   TreeNode() {}
 *   TreeNode(int val) { this.val = val; }
 *   TreeNode(int val, TreeNode left, TreeNode right) {
 *     this.val = val;
 *     this.left = left;
 *     this.right = right;
 *   }
 * }
 */
class Solution {
  public boolean isSubtree(TreeNode root, TreeNode subRoot) {
    if (root == null) {
      return false;
    }
    return dfs(root, subRoot) || isSubtree(root.left, subRoot)
      || isSubtree(root.right, subRoot);
  }

  private boolean dfs(TreeNode root1, TreeNode root2) {
    if (root1 == null && root2 == null) {
      return true;
    }
    if (root1 == null || root2 == null) {
      return false;
    }
    return root1.val == root2.val && dfs(root1.left, root2.left)
      && dfs(root1.right, root2.right);
  }
}

/**
 * Definition for a binary tree node.
 * struct TreeNode {
 *   int val;
 *   TreeNode *left;
 *   TreeNode *right;
 *   TreeNode() : val(0), left(nullptr), right(nullptr) {}
 *   TreeNode(int x) : val(x), left(nullptr), right(nullptr) {}
 *   TreeNode(int x, TreeNode *left, TreeNode *right) : val(x), left(left), right(right) {}
 * };
 */
class Solution {
public:
  bool isSubtree(TreeNode* root, TreeNode* subRoot) {
    if (!root) return 0;
    return dfs(root, subRoot) || isSubtree(root->left, subRoot) || isSubtree(root->right, subRoot);
  }

  bool dfs(TreeNode* root1, TreeNode* root2) {
    if (!root1 && !root2) return 1;
    if (!root1 || !root2) return 0;
    return root1->val == root2->val && dfs(root1->left, root2->left) && dfs(root1->right, root2->right);
  }
};

/**
 * Definition for a binary tree node.
 * type TreeNode struct {
 *   Val int
 *   Left *TreeNode
 *   Right *TreeNode
 * }
 */
func isSubtree(root *TreeNode, subRoot *TreeNode) bool {
  if root == nil {
    return false
  }
  var dfs func(root1, root2 *TreeNode) bool
  dfs = func(root1, root2 *TreeNode) bool {
    if root1 == nil && root2 == nil {
      return true
    }
    if root1 == nil || root2 == nil {
      return false
    }
    return root1.Val == root2.Val && dfs(root1.Left, root2.Left) && dfs(root1.Right, root2.Right)
  }
  return dfs(root, subRoot) || isSubtree(root.Left, subRoot) || isSubtree(root.Right, subRoot)
}

/**
 * Definition for a binary tree node.
 * class TreeNode {
 *   val: number
 *   left: TreeNode | null
 *   right: TreeNode | null
 *   constructor(val?: number, left?: TreeNode | null, right?: TreeNode | null) {
 *     this.val = (val===undefined ? 0 : val)
 *     this.left = (left===undefined ? null : left)
 *     this.right = (right===undefined ? null : right)
 *   }
 * }
 */

const dfs = (root: TreeNode | null, subRoot: TreeNode | null) => {
  if (root == null && subRoot == null) {
    return true;
  }
  if (root == null || subRoot == null || root.val !== subRoot.val) {
    return false;
  }
  return dfs(root.left, subRoot.left) && dfs(root.right, subRoot.right);
};

function isSubtree(root: TreeNode | null, subRoot: TreeNode | null): boolean {
  if (root == null) {
    return false;
  }
  return dfs(root, subRoot) || isSubtree(root.left, subRoot) || isSubtree(root.right, subRoot);
}

// Definition for a binary tree node.
// #[derive(Debug, PartialEq, Eq)]
// pub struct TreeNode {
//   pub val: i32,
//   pub left: Option<Rc<RefCell<TreeNode>>>,
//   pub right: Option<Rc<RefCell<TreeNode>>>,
// }
//
// impl TreeNode {
//   #[inline]
//   pub fn new(val: i32) -> Self {
//   TreeNode {
//     val,
//     left: None,
//     right: None
//   }
//   }
// }
use std::rc::Rc;
use std::cell::RefCell;
impl Solution {
  fn dfs(root: &Option<Rc<RefCell<TreeNode>>>, sub_root: &Option<Rc<RefCell<TreeNode>>>) -> bool {
    if root.is_none() && sub_root.is_none() {
      return true;
    }
    if root.is_none() || sub_root.is_none() {
      return false;
    }
    let root = root.as_ref().unwrap().borrow();
    let sub_root = sub_root.as_ref().unwrap().borrow();
    root.val == sub_root.val &&
      Self::dfs(&root.left, &sub_root.left) &&
      Self::dfs(&root.right, &sub_root.right)
  }

  fn help(
    root: &Option<Rc<RefCell<TreeNode>>>,
    sub_root: &Option<Rc<RefCell<TreeNode>>>
  ) -> bool {
    if root.is_none() {
      return false;
    }
    Self::dfs(root, sub_root) ||
      Self::help(&root.as_ref().unwrap().borrow().left, sub_root) ||
      Self::help(&root.as_ref().unwrap().borrow().right, sub_root)
  }

  pub fn is_subtree(
    root: Option<Rc<RefCell<TreeNode>>>,
    sub_root: Option<Rc<RefCell<TreeNode>>>
  ) -> bool {
    Self::help(&root, &sub_root)
  }
}

/**
 * Definition for a binary tree node.
 * function TreeNode(val, left, right) {
 *   this.val = (val===undefined ? 0 : val)
 *   this.left = (left===undefined ? null : left)
 *   this.right = (right===undefined ? null : right)
 * }
 */
/**
 * @param {TreeNode} root
 * @param {TreeNode} subRoot
 * @return {boolean}
 */
var isSubtree = function (root, subRoot) {
  if (!root) return false;
  let dfs = function (root1, root2) {
    if (!root1 && !root2) {
      return true;
    }
    if (!root1 || !root2) {
      return false;
    }
    return (
      root1.val == root2.val && dfs(root1.left, root2.left) && dfs(root1.right, root2.right)
    );
  };
  return dfs(root, subRoot) || isSubtree(root.left, subRoot) || isSubtree(root.right, subRoot);
};