描述

给定一个二叉树，找出所有路径中各节点相加总和等于给定目标值的路径。 一个有效的路径，指的是从根节点到叶节点的路径

样例

给定一个二叉树，和 目标值 = 5:

             1
            / \
           2   4
          / \
         2   3
返回：

        [
          [1, 2, 2],
          [1, 4]
        ]

思路

遍历二叉树，将当前结点值添加到路径，遍历到叶子结点得到每条完整路径，判断路径中各点值是否满足 target，将符合条件路径添加到 result

代码

/**
 * Definition of TreeNode:
 * public class TreeNode {
 *     public int val;
 *     public TreeNode left, right;
 *     public TreeNode(int val) {
 *         this.val = val;
 *         this.left = this.right = null;
 *     }
 * }
 */

public class Solution {
    /**
     * @param root the root of binary tree
     * @param target an integer
     * @return all valid paths
     */
    public List<List<Integer>> binaryTreePathSum(TreeNode root, int target) {
        List<List<Integer>> result = new ArrayList<>();
        if (root == null) {
            return result;
        }
        
        ArrayList<Integer> path = new ArrayList<>();
        path.add(root.val);
        helper(root, path, root.val, target, result);
        return result;
    }
    
    private void helper(TreeNode root,
                        ArrayList<Integer> path,
                        int sum,
                        int target,
                        List<List<Integer>> result) {
        if (root.left == null && root.right == null) {
            if (sum == target) {
                result.add(new ArrayList<Integer>(path));
                return;
            }
        }
        
        if (root.left != null) {
            path.add(root.left.val);
            helper(root.left, path, root.left.val + sum, target, result);
            path.remove(path.size() - 1);
        }
        
        if (root.right != null) {
            path.add(root.right.val);
            helper(root.right, path, root.right.val + sum, target, result);
            path.remove(path.size() - 1);
        }
    }
}