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:简单的DFS。要注意的一点是,所有的路径必须到达叶子结点才算数。叶子结点的定义是没有孩子的节点。假如root节点没有孩子节点,则root节点就算是叶子结点。但当root节点有一个左孩子节点却没有右孩子节点时,它就不能算是叶子节点了。
 class Solution {
public:
void help(vector<vector<int> >& res, TreeNode* root, vector<int>& path, int target)
{
TreeNode *left = root->left, *right = root->right;
path.push_back(root->val);
if (!left && !right && target == root->val)
res.push_back(path);
if (left)
help(res, left, path, target - root->val);
if (right)
help(res, right, path, target - root->val);
path.pop_back();
}
vector<vector<int>> pathSum(TreeNode* root, int sum) {
vector<vector<int> > res;
if (!root) return res;
vector<int> path;
help(res, root, path, sum);
return res;
}
};
 

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