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112.path-sum

Statement

Metadata
  • Link: 路径总和
  • Difficulty: Easy
  • Tag: 树 深度优先搜索 广度优先搜索 二叉树

给你二叉树的根节点 root 和一个表示目标和的整数 targetSum 。判断该树中是否存在 根节点到叶子节点 的路径，这条路径上所有节点值相加等于目标和 targetSum 。如果存在，返回 true ；否则，返回 false 。

叶子节点 是指没有子节点的节点。

 

示例 1：

输入：root = [5,4,8,11,null,13,4,7,2,null,null,null,1], targetSum = 22
输出：true
解释：等于目标和的根节点到叶节点路径如上图所示。

示例 2：

输入：root = [1,2,3], targetSum = 5
输出：false
解释：树中存在两条根节点到叶子节点的路径：
(1 –> 2): 和为 3
(1 –> 3): 和为 4
不存在 sum = 5 的根节点到叶子节点的路径。

示例 3：

输入：root = [], targetSum = 0
输出：false
解释：由于树是空的，所以不存在根节点到叶子节点的路径。

 

提示：

  • 树中节点的数目在范围 [0, 5000] 内
  • -1000 <= Node.val <= 1000
  • -1000 <= targetSum <= 1000

Metadata
  • Link: Path Sum
  • Difficulty: Easy
  • Tag: Tree Depth-First Search Breadth-First Search Binary Tree

Given the root of a binary tree and an integer targetSum, return true if the tree has a root-to-leaf path such that adding up all the values along the path equals targetSum.

A leaf is a node with no children.

 

Example 1:

Input: root = [5,4,8,11,null,13,4,7,2,null,null,null,1], targetSum = 22
Output: true
Explanation: The root-to-leaf path with the target sum is shown.

Example 2:

Input: root = [1,2,3], targetSum = 5
Output: false
Explanation: There two root-to-leaf paths in the tree:
(1 –> 2): The sum is 3.
(1 –> 3): The sum is 4.
There is no root-to-leaf path with sum = 5.

Example 3:

Input: root = [], targetSum = 0
Output: false
Explanation: Since the tree is empty, there are no root-to-leaf paths.

 

Constraints:

  • The number of nodes in the tree is in the range [0, 5000].
  • -1000 <= Node.val <= 1000
  • -1000 <= targetSum <= 1000

Solution

# 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 typing import Optional


class Solution:
    def __init__(self):
        self.res = False

    def dfs(self, rt: TreeNode, sum: int) -> None:
        if not rt:
            return

        sum += rt.val

        if not rt.left and not rt.right:
            if sum == self.target:
                self.res = True
            return

        self.dfs(rt.left, sum)
        self.dfs(rt.right, sum)

    def hasPathSum(self, root: Optional[TreeNode], targetSum: int) -> bool:
        self.target = targetSum
        self.dfs(root, 0)
        return self.res
最后更新: October 11, 2023
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