Vertical Order Traversal Of A Binarytree-ii

easy
1. Given a Binary Tree, print Vertical Order of it. 
2. For each node at position (row, col), its left and right 
   children will be at positions (row + 1, col - 1) and (row + 1, col + 1) 
   respectively. The root of the tree is at (0, 0).
3. The vertical order traversal of a binary tree is a list of top-to-bottom 
   orderings for each column index starting from the leftmost column and ending 
   on the rightmost column. There may be multiple nodes in the same row and same 
   column. In such a case, sort these nodes by their values.
4. For More Information Watch Question Video link below.

Input Format

Input is managed for you.

Output Format

Output is managed for you.

Constraints

0 <= Number of Nodes <= 10^5
-1000 <= value of Node data <= 1000

Notice

Try First, Check Solution later

1. You should first read the question and watch the question video.
2. Think of a solution approach, then try and submit the question on editor tab.
3. We strongly advise you to watch the solution video for prescribed approach.

Example

Input
15
1
1
-1
1
1
-1
1
-1
-1
1
-1
-1
1
-1
-1
Output
0 -> 1 1 
1 -> 1 1 1 
2 -> 1 1 
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