Given a binary tree, design an algorithm which creates a linked list of all the nodes at each depth (e.g., if you have a tree with depth D, you'll have D linked lists). Return a array containing all the linked lists.

 

Example:

Input: [1,2,3,4,5,null,7,8]

        1
       /  \ 
      2    3
     / \    \ 
    4   5    7
   /
  8

Output: [[1],[2,3],[4,5,7],[8]]