**一. 題目描述**
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. 題目分析**
這道題只是一道二叉樹的深度優先搜索的題目,在葉結點時將從根到葉結點的路徑上的結點的值組成一個十進制的數,本質上還是一道深度優先搜索的題。
**三. 示例代碼**
~~~
#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. 小結**
這道題是一道二叉樹深度優先搜索的變形題目,考察的還是二叉樹的遞歸遍歷,只是換了一種考察方式而已。
- 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騰訊軟件開發筆試題)
- Valid Sudoku
- Rotate Image
- Power of two
- Plus One
- Gas Station
- Set Matrix Zeroes
- Count and Say
- Climbing Stairs(斐波那契數列問題)
- 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(逆波蘭式的計算)
- 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(最大子串和問題)
- 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