[leetcode]113. Path Sum II路径和(返回路径)

Given a binary tree and a sum, find all root-to-leaf paths where each path's sum equals the given sum.

Note: A leaf is a node with no children.

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]
]

题意：

二叉树之和，返回所有和等于给定值的路径

思路：

要穷举所有路径。 backtracking。

思路类似two sum, 通过（sum - 当前值） 来check 叶子节点的值是否与一路作减法的sum值相等

代码：

 class Solution {
       public List<List<Integer>> pathSum(TreeNode root, int sum) {
         List<List<Integer>> result = new ArrayList<>();
         ArrayList<Integer>  cur = new ArrayList<>(); // 中间结果
         helper(root, sum, cur, result);
         return result;
      }

     private static void helper(TreeNode root, int sum, ArrayList<Integer> cur,
                                 List<List<Integer>> result) {
         if (root == null) return;

         cur.add(root.val);

         // leaf node
         if (root.left == null && root.right == null) {
             if (sum == root.val)
              result.add(new ArrayList<>(cur));
         }

         helper(root.left, sum - root.val, cur, result);
         helper(root.right, sum - root.val, cur, result);

         cur.remove(cur.size() - 1);
     }
 }