Maximum Depth of Binary Tree#7463

Maximum Depth of Binary Tree

1 second

128 megabytes

Easy

Given an array of integers, create a Binary Search Tree from these numbers. If the inserted value is equal to the current node, insert it into the right subtree.

Create a method MaxDepth that finds the maximum depth of a tree. The maximum depth is the number of nodes along the longest path from the root node down to the farthest leaf node.

Write the code according to the following interface:

// C, C++
class TreeNode
{
public:
  int val;
  TreeNode *left;
  TreeNode *right;
  TreeNode(int x) : val(x), left(NULL), right(NULL) {}
};

class Tree
{
public:
  TreeNode *head;
  Tree() : head(NULL) {};
  void Insert(int val); // Insert number val into Binary Search Tree
  int MaxDepth(void);   // Return the maximum depth of Binary Search Tree
};

C++

// Java
class TreeNode
{
  int val;
  TreeNode left;
  TreeNode right;
  TreeNode(int x)
  {
    val = x;
    left = null;
    right = null;
  }
}

class Tree
{
  TreeNode head;
  Tree();
  void Insert(int val); // Insert number val into Binary Search Tree
  int maxDepth();       // Return the maximum depth of Binary Search Tree
}

Java

You may create (use) additional methods if needed.

Input

The first line contains the number $n$ ( $1 \leq n \leq 100$ 1 \leq n \leq 100).The second line contains $n$ integers.

Output

Create the Binary Search Tree from the input data. Find and print its maximum depth.

Examples

Example 1