# Tree: Height of a Binary Tree

### Problem Statement :

```The height of a binary tree is the number of edges between the tree's root and its furthest leaf. For example, the following binary tree is of height :

image
Function Description

Complete the getHeight or height function in the editor. It must return the height of a binary tree as an integer.

getHeight or height has the following parameter(s):

root: a reference to the root of a binary tree.
Note -The Height of binary tree with single node is taken as zero.

Input Format

The first line contains an integer , the number of nodes in the tree.
Next line contains  space separated integer where th integer denotes node[i].data.

Note: Node values are inserted into a binary search tree before a reference to the tree's root node is passed to your function. In a binary search tree, all nodes on the left branch of a node are less than the node value. All values on the right branch are greater than the node value.

Output Format

Your function should return a single integer denoting the height of the binary tree.```

### Solution :

```                            ```Solution in C :

In C++ :

/*The tree node has data, left child and right child
struct node
{
int data;
node* left;
node* right;
};

*/
int height(node * root)
{
if(root==NULL) return 0;
else
{
int l=height(root->left);
int r=height(root->right);
if(l>r)
return l+1;
else
return r+1;
}
}

In Java :

/*

class Node
int data;
Node left;
Node right;
*/
int height(Node root){
if (root == null){
return 0;
}
else{
return 1+Math.max(height(root.left), height(root.right));
}
}

In C :

int getHeight(Node* root){
int h;
Node *r=root;
h=Height(r);

return h-1;
}
int  Height(Node* r){
if (r == NULL)
return 0;

// Compute height of each tree
int heightLeft = Height(r->left);
int heightRight = Height(r->right);

/* use the larger one */
if (heightLeft > heightRight)
return(heightLeft + 1);
else
return(heightRight + 1);
}

In python3 :

def getHeight(self,root):
leftHeight = 0
rightHeight = 0
if( root.left):
leftHeight = self.getHeight(root.left) + 1

if( root.right):
rightHeight = self.getHeight(root.right) + 1

if( leftHeight > rightHeight ):
return leftHeight
else:
return rightHeight```
```

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