LeetCode No.437 Path Sum III
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You are given a binary tree in which each node contains an integer value.
Find the number of paths that sum to a given value.
The path does not need to start or end at the root or a leaf, but it must go downwards (traveling only from parent nodes to child nodes).
The tree has no more than 1,000 nodes and the values are in the range -1,000,000 to 1,000,000.
Example:
root = [10,5,-3,3,2,null,11,3,-2,null,1], sum = 8 10 / \ 5 -3 / \ \ 3 2 11 / \ \3 -2 1Return 3. The paths that sum to 8 are:1. 5 -> 32. 5 -> 2 -> 13. -3 -> 11====================================================================================================================================
这道题目的大意是:找出二叉树中和为sum的所有路径(路径起点任意)
本节点路径值 = 本身 + (上一节点的路径值+本身),再利用深搜(DFS)或者宽搜(BFS)就行。
附上代码:
/** * Definition for a binary tree node. * struct TreeNode { * int val; * TreeNode *left; * TreeNode *right; * TreeNode(int x) : val(x), left(NULL), right(NULL) {} * }; */class Solution {public: int pathSum(TreeNode* root, int sum) { if ( root == NULL ) return 0 ; int ans = 0 ; vector < pair <TreeNode*,vector<int> > > v ;//节点,路径所有可能值 vector <int> num ( 1 , root -> val ) ; v.push_back ( make_pair ( root , num ) ) ; while ( ! v.empty() ) { TreeNode* r = v.back().first ; num = v.back().second ; v.pop_back () ; for ( int i = 0 ; i < num.size() ; i ++ )//找出所有符合条件的路径 if ( num[i] == sum ) ans ++ ; if ( r -> left ) { int numb = r -> left -> val ; vector <int> temp ( 1 , numb ) ;//路径值+=本身 for ( int i = 0 ; i < num.size() ; i ++ )//路径值+=上一节点的路径值+本身 temp.push_back ( num[i] + numb ) ; v.push_back ( make_pair ( r -> left , temp ) ) ; } if ( r -> right ) { int numb = r -> right -> val ; vector <int> temp ( 1 , numb ) ;//路径值+=本身 for ( int i = 0 ; i < num.size() ; i ++ )//路径值+=上一节点的路径值+本身 temp.push_back ( num[i] + numb ) ; v.push_back ( make_pair ( r -> right , temp ) ) ; } } return ans ; }};
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