题目:
Given a binary tree and a sum, find all root-to-leaf paths where each path's sum equals the given sum.
For example:Given the below binary tree and
sum = 22,
5
/ \
4 8
/ / \
11 13 4
/ \ / \
7 2 5 1
return
[ [5,4,11,2], [5,8,4,5] ]
思路:构造一个辅助函数。辅助函数是一个深度搜索递归函数。递归终止条件,和Path Sum类似,当当前节点是叶子结点,并且当前节点值等于sum值,先把当前节点值push进tmp,再返回。如果当前节点非空,将当前结果压进tmp中,再接下来递归其左子树和右子树,寻找所有的可能组合。
Attention:
1. 注意只有存在左右孩子结点时,才递归调用辅助函数,搜索左右子树。
//需要判断是否有左右结点,没有就不递归调用了
if(root->left) pathSum_helper(root->left, newSum, tmp, ret);
if(root->right) pathSum_helper(root->right, newSum, tmp, ret);
2. 当判断当前节点符合迭代终止条件后,首先应先把当前节点值push进数组,再返回结果。(上一层调用中并没有push当前节点值)
/如果此时的节点就是叶子节点,并且符合sum条件,先push进tmp,再返回。
if(!root->left && !root->right && root->val == sum)
{
tmp.push_back(root->val);
ret.push_back(tmp);
return;
}AC Code:
/**
* Definition for binary tree
* struct TreeNode {
* int val;
* TreeNode *left;
* TreeNode *right;
* TreeNode(int x) : val(x), left(NULL), right(NULL) {}
* };
*/
class Solution {
public:
vector
> pathSum(TreeNode *root, int sum) {
vector
> ret; vector
tmp; if(root == NULL) return ret; pathSum_helper(root, sum, tmp, ret); return ret; } private: void pathSum_helper(TreeNode* root, int sum, vector
tmp, vector
>& ret) { //如果此时的节点就是叶子节点,并且符合sum条件,先push进tmp,再返回。 if(!root->left && !root->right && root->val == sum) { tmp.push_back(root->val); ret.push_back(tmp); return; } if(root != NULL) { tmp.push_back(root->val); int newSum = sum - root->val; //需要判断是否有左右结点,没有就不递归调用了 if(root->left) pathSum_helper(root->left, newSum, tmp, ret); if(root->right) pathSum_helper(root->right, newSum, tmp, ret); } return; } };