Diagonal Traversal

Consider lines of slope -1 passing between nodes.

Given a Binary Tree A containing N nodes, return all diagonal elements in a binary tree belonging to same line.

NOTE:

• See Sample Explanation for better understanding.
• Order does matter in the output.
• To get the same order as in the output traverse the tree same as we do in pre-order traversal.

0 <= N <= 10⁵

First and only Argument represents the root of binary tree A.

Return a 1D array denoting the diagonal traversal of the tree.

Input 1:

            1
          /   \
         4      2
        / \      \
       8   5      3
          / \    /
         9   7  6

Input 2:

             11
          /     \
         20      12
        / \       \
       1   15      13
          /  \     /
         2    17  16
          \   /
          22 34

Output 1:

 [1, 2, 3, 4, 5, 7, 6, 8, 9]

Output 2:

 [11, 12, 13, 20, 15, 17, 16, 1, 2, 22, 34]

Explanation 1:

 
 1) Diagonal 1 contains [1, 2, 3]
 2) Diagonal 2 contains [4, 5, 7, 6]
 3) Diagonal 3 contains [8, 9]


NOTE:
The order in the output matters like for Example:
6 and 7 belong to same diagonal i.e diagonal 2 but as 7 comes before 6 in pre-order traversal so 7 will be added to answer array first.

So concantenate all the array as return it as a single one.
 Final output: [1, 2, 3, 4, 5, 7, 6, 8, 9]

Explanation 2:

 
 1) Diagonal 1 contains [11, 12, 13]
 2) Diagonal 2 contains [20, 15, 17, 16]
 3) Diagonal 2 contains [1, 2, 22, 34]


So concantenate all the array as return it as a single one.
 Final output: [11, 12, 13, 20, 15, 17, 16, 1, 2, 22, 34]