Find the sum of longest path from root to leaf node

Given a binary tree, Our goal is to get the sum of longest path in this tree.

Example
/* Binary Tree
-----------------------
        1
     /    \
    2      5
   / \    /  \
  1   7  7    2
     /    \    \
    9      1   -3
          / 
        -7 
*/
/* First Path
-----------------------
      1
     / 
    2 
   /
  1 

    Length : 3
    Sum    : 4
*/

/* Second Path
-----------------------
      1
     /  
    2 
     \ 
      7
     / 
    9

    Length : 4
    Sum    : 19    
*/

/* Third Path
-----------------------
        1
         \
          5
         /  
        7  
         \  
          1 
         / 
       -7 

    Length : 5
    Sum    : 7  
*/


/* Fourth Path
-----------------------
        1
         \
          5
           \
            2
             \
             -3


    Length : 4
    Sum    : 5          
*/

Output :  7
[Because path 3 are length is higher to other]

If in case more than one path contains same resultant length then in this situation we accept sum of first (first path). Here given code implementation process.

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