Root to leaf paths having equal lengths in a Binary Tree


http://www.geeksforgeeks.org/root-leaf-paths-equal-lengths-binary-tree


The idea is to traverse the tree and keep track of path length. Whenever we reach a leaf node, we increment path length count in a hash map.
Once we have traverse the tree, hash map has counts of distinct path lengths. Finally we print contents of hash map.
// Function to store counts of different root to leaf
// path lengths in hash map m.
void pathCountUtil(Node *node, unordered_map<int, int> &m,
                                             int path_len)
{
    // Base condition
    if (node == NULL)
        return;
 
    // If leaf node reached, increment count of path
    // length of this root to leaf path.
    if (node->left == NULL && node->right == NULL)
    {
         m[path_len]++;
         return;
    }
 
    // Recursively call for left and right subtrees with
    // path lengths more than 1.
    pathCountUtil(node->left, m, path_len+1);
    pathCountUtil(node->right, m, path_len+1);
}
 
// A wrapper over pathCountUtil()
void pathCounts(Node *root)
{
   // create an empty hash table
   unordered_map<int, int> m;
 
   // Recursively check in left and right subtrees.
   pathCountUtil(root, m, 1);
 
   // Print all path lenghts and their counts.
   for (auto itr=m.begin(); itr != m.end(); itr++)
      cout << itr->second << " paths have length "
           << itr->first << endl;
}


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