Problem
Given a binary tree containing digits from 0-9
only, each root-to-leaf path could represent a number.
An example is the root-to-leaf path 1->2->3
which represents the number 123
.
Find the total sum of all root-to-leaf numbers.
Note: A leaf is a node with no children.
Example:
Input: [1,2,3] 1 / \ 2 3 Output: 25 Explanation: The root-to-leaf path 1->2 represents the number 12. The root-to-leaf path 1->3 represents the number 13. Therefore, sum = 12 + 13 = 25.
Example 2:
Input: [4,9,0,5,1] 4 / \ 9 0 / \ 5 1 Output: 1026 Explanation: The root-to-leaf path 4->9->5 represents the number 495. The root-to-leaf path 4->9->1 represents the number 491. The root-to-leaf path 4->0 represents the number 40. Therefore, sum = 495 + 491 + 40 = 1026.
问题
给定一个二叉树,它的每个结点都存放一个 0-9 的数字,每条从根到叶子节点的路径都代表一个数字。
例如,从根到叶子节点路径 1->2->3 代表数字 123。
计算从根到叶子节点生成的所有数字之和。
说明: 叶子节点是指没有子节点的节点。
示例 1:
输入: [1,2,3] 1 / \ 2 3 输出: 25 解释: 从根到叶子节点路径 1->2 代表数字 12. 从根到叶子节点路径 1->3 代表数字 13. 因此,数字总和 = 12 + 13 = 25.
示例 2:
输入: [4,9,0,5,1] 4 / \ 9 0 / \ 5 1 输出: 1026 解释: 从根到叶子节点路径 4->9->5 代表数字 495. 从根到叶子节点路径 4->9->1 代表数字 491. 从根到叶子节点路径 4->0 代表数字 40. 因此,数字总和 = 495 + 491 + 40 = 1026.
思路
前序遍历
想清楚 root 节点需要做的事:root值加上之前的值*10。 不用深思递归细节,不然会乱的。
Python3 代码
# Definition for a binary tree node. # class TreeNode: # def __init__(self, x): # self.val = x # self.left = None # self.right = None class Solution: def sumNumbers(self, root: TreeNode) -> int: def dfs(root: TreeNode, sumNumber: int) -> int: if not root: return 0 tmpsum = sumNumber * 10 + root.val # 叶子节点 if not root.left and not root.right: return tmpsum else: return dfs(root.left, tmpsum) + dfs(root.right, tmpsum) return dfs(root, 0)