**一. 题目描述**
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.
For example,
~~~
1
/ \
2 3
~~~
The root-to-leaf path `1->2` represents the number `12`.
The root-to-leaf path `1->3` represents the number `13`.
Return the `sum = 12 + 13 = 25`.
**二. 题目分析**
这道题只是一道二叉树的深度优先搜索的题目,在叶结点时将从根到叶结点的路径上的结点的值组成一个十进制的数,本质上还是一道深度优先搜索的题。
**三. 示例代码**
~~~
#include <iostream>
struct TreeNode
{
int val;
TreeNode *left;
TreeNode *right;
TreeNode(int x) : val(x), left(NULL), right(NULL) {}
};
class Solution
{
void sumNumbers(TreeNode*root, int &Result, int &TmpResult)
{
if (!root)
{
return;
}
// update the TmpResult
TmpResult = TmpResult * 10 + root->val;
if (!root->left && !root->right)
{
Result += TmpResult;
}
if (root->left)
{
sumNumbers(root->left, Result, TmpResult);
}
if (root->right)
{
sumNumbers(root->right, Result, TmpResult);
}
// restore the TmpResult;
TmpResult = (TmpResult - root->val) / 10;
}
public:
int sumNumbers(TreeNode* root)
{
int Result = 0;
int TmpResult = 0;
sumNumbers(root, Result, TmpResult);
return Result;
}
};
~~~
**四. 小结**
这道题是一道二叉树深度优先搜索的变形题目,考察的还是二叉树的递归遍历,只是换了一种考察方式而已。
- 前言
- 2Sum
- 3Sum
- 4Sum
- 3Sum Closest
- Remove Duplicates from Sorted Array
- Remove Duplicates from Sorted Array II
- Search in Rotated Sorted Array
- Remove Element
- Merge Sorted Array
- Add Binary
- Valid Palindrome
- Permutation Sequence
- Single Number
- Single Number II
- Gray Code(2016腾讯软件开发笔试题)
- Valid Sudoku
- Rotate Image
- Power of two
- Plus One
- Gas Station
- Set Matrix Zeroes
- Count and Say
- Climbing Stairs(斐波那契数列问题)
- Remove Nth Node From End of List
- Linked List Cycle
- Linked List Cycle 2
- Integer to Roman
- Roman to Integer
- Valid Parentheses
- Reorder List
- Path Sum
- Simplify Path
- Trapping Rain Water
- Path Sum II
- Factorial Trailing Zeroes
- Sudoku Solver
- Isomorphic Strings
- String to Integer (atoi)
- Largest Rectangle in Histogram
- Binary Tree Preorder Traversal
- Evaluate Reverse Polish Notation(逆波兰式的计算)
- Maximum Depth of Binary Tree
- Minimum Depth of Binary Tree
- Longest Common Prefix
- Recover Binary Search Tree
- Binary Tree Level Order Traversal
- Binary Tree Level Order Traversal II
- Binary Tree Zigzag Level Order Traversal
- Sum Root to Leaf Numbers
- Anagrams
- Unique Paths
- Unique Paths II
- Triangle
- Maximum Subarray(最大子串和问题)
- House Robber
- House Robber II
- Happy Number
- Interlaving String
- Minimum Path Sum
- Edit Distance
- Best Time to Buy and Sell Stock
- Best Time to Buy and Sell Stock II
- Best Time to Buy and Sell Stock III
- Best Time to Buy and Sell Stock IV
- Decode Ways
- N-Queens
- N-Queens II
- Restore IP Addresses
- Combination Sum
- Combination Sum II
- Combination Sum III
- Construct Binary Tree from Inorder and Postorder Traversal
- Construct Binary Tree from Preorder and Inorder Traversal
- Longest Consecutive Sequence
- Word Search
- Word Search II
- Word Ladder
- Spiral Matrix
- Jump Game
- Jump Game II
- Longest Substring Without Repeating Characters
- First Missing Positive
- Sort Colors
- Search for a Range
- First Bad Version
- Search Insert Position
- Wildcard Matching