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Merge two Binary Tree

Problem Description

Given two Binary Trees A and B, you need to merge them in a single binary tree.

The merge rule is that if two nodes overlap, then sum of node values is the new value of the merged node.

Otherwise, the non-null node will be used as the node of new tree.



Problem Constraints

1 <= Number of Nodes in A , B <= 105



Input Format

First argument is an pointer to the root of binary tree A.

Second argument is an pointer to the root of binary tree B.



Output Format

Return a pointer to the root of new binary tree.



Example Input

Input 1:

 A =   2
/ \
1 4
/
5

B = 3 / \ 6 1 \ \ 2 7

Input 2:

 A =   12
/ \
11 14

B = 3 / \ 6 1



Example Output

Output 1:

     5
    / \
   7   5
  / \   \ 
 5   2   7

Output 2:

   15
  / \
 17  15


Example Explanation

Explanation 1:

 After merging both the trees you get:
     5
    / \
   7   5
  / \   \ 
 5   2   7

Explanation 2:

 After merging both the trees we get:
   15
  / \
 17  15


NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a doubt? Checkout Sample Codes for more details.
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