QUESTION:

Given the root of a binary tree, then value v and depth d, you need to add a row of nodes with value v at the given depth d. The root node is at depth 1.

The adding rule is: given a positive integer depth d, for each NOT null tree nodes N in depth d-1, create two tree nodes with value v as N's left subtree root and right subtree root. And N's original left subtree should be the left subtree of the new left subtree root, its original right subtree should be the right subtree of the new right subtree root. If depth d is 1 that means there is no depth d-1 at all, then create a tree node with value v as the new root of the whole original tree, and the original tree is the new root’s left subtree.

Example 1:

Input: 
A binary tree as following:
       4
     /   \
    2     6
   / \   / 
  3   1 5   

v = 1

d = 2

Output: 
       4
      / \
     1   1
    /     \
   2       6
  / \     / 
 3   1   5   

Example 2:

Input: 
A binary tree as following:
      4
     /   
    2    
   / \   
  3   1    

v = 1

d = 3

Output: 
      4
     /   
    2
   / \    
  1   1
 /     \  
3       1

Note:

1. The given d is in range [1, maximum depth of the given tree + 1].
2. The given binary tree has at least one tree node.

EXPLANATION:

其实就是DFS，查找到目标层的上一层的时候，就可以进行新建替代操作了。

注意d=1的情况即可。

SOLUTION:

public class Solution {
    public TreeNode addOneRow(TreeNode root, int v, int d) {
        if(d == 1){
            TreeNode tmp = new TreeNode(v);
            tmp.left = root;
            return tmp;
        }
        addOneRowHelper(root,1,d,v);
        return root;
    }
    
    public void addOneRowHelper(TreeNode root,int level,int targetlevel ,int value){
        if (level >= targetlevel) return;
        if (level == targetlevel - 1) {
            TreeNode left = new TreeNode(value);
            left.left = root.left;
            root.left = left;
            TreeNode right = new TreeNode(value);
            right.right = root.right;
            root.right = right;
        }
        if (root.left != null) addOneRowHelper(root.left, level + 1, targetlevel, value);
        if (root.right != null) addOneRowHelper(root.right, level + 1, targetlevel, value);
    }
}