运用前序遍历

/**
 * 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:
    void findPaths(TreeNode* node, int sum, vector<int>& path, vector<vector<int> >& paths) {
        if (!node) return;
        path.push_back(node -> val);
        if (!(node -> left) && !(node -> right) && sum == node -> val)
            paths.push_back(path);
        findPaths(node -> left, sum - node -> val, path, paths);
        findPaths(node -> right, sum - node -> val, path, paths);
        path.pop_back();
    }

    vector<vector<int>> pathSum(TreeNode* root, int sum) {
        vector<vector<int> > paths;
        vector<int> path;
        findPaths(root, sum, path, paths);
        return paths;
    }
};