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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 5v = 1d = 2Output:4 / \ 1 1 / \ 2 6 / \ / 3 1 5

**Example 2:**

Input:A binary tree as following: 4 / 2 / \ 3 1v = 1d = 3Output:4 / 2 / \ 1 1 / \ 3 1

**Note:**

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

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