diff --git a/README.md b/README.md
index 2d3d96b..e76b099 100644
--- a/README.md
+++ b/README.md
@@ -208,6 +208,7 @@ Challenges, solutions, and unit tests are presented in the form of **IPython/Jup
| Determine the height of a tree | [Challenge](http://nbviewer.ipython.org/github/donnemartin/interactive-coding-challenges/blob/master/graphs_trees/tree_height/height_challenge.ipynb)│[Solution](http://nbviewer.ipython.org/github/donnemartin/interactive-coding-challenges/blob/master/graphs_trees/tree_height/height_solution.ipynb) |
| Create a binary search tree with minimal height from a sorted array | [Challenge](http://nbviewer.ipython.org/github/donnemartin/interactive-coding-challenges/blob/master/graphs_trees/bst_min/bst_min_challenge.ipynb)│[Solution](http://nbviewer.ipython.org/github/donnemartin/interactive-coding-challenges/blob/master/graphs_trees/bst_min/bst_min_solution.ipynb) |
| Create a linked list for each level of a binary tree | [Challenge](http://nbviewer.ipython.org/github/donnemartin/interactive-coding-challenges/blob/master/graphs_trees/tree_level_lists/tree_level_lists_challenge.ipynb)│[Solution](http://nbviewer.ipython.org/github/donnemartin/interactive-coding-challenges/blob/master/graphs_trees/tree_level_lists/tree_level_lists_solution.ipynb) |
+| Check if a binary tree is balanced | [Challenge](http://nbviewer.ipython.org/github/donnemartin/interactive-coding-challenges/blob/master/graphs_trees/check_balance/check_balance_challenge.ipynb)│[Solution](http://nbviewer.ipython.org/github/donnemartin/interactive-coding-challenges/blob/master/graphs_trees/check_balance/check_balance_solution.ipynb) |
| Implement a binary search tree | [Challenge](http://nbviewer.ipython.org/github/donnemartin/interactive-coding-challenges/blob/master/graphs_trees/bst/bst_challenge.ipynb)│[Solution](http://nbviewer.ipython.org/github/donnemartin/interactive-coding-challenges/blob/master/graphs_trees/bst/bst_solution.ipynb) |
| Implement depth-first search on a graph | [Challenge](http://nbviewer.ipython.org/github/donnemartin/interactive-coding-challenges/blob/master/graphs_trees/graph_dfs/dfs_challenge.ipynb)│[Solution](http://nbviewer.ipython.org/github/donnemartin/interactive-coding-challenges/blob/master/graphs_trees/graph_dfs/dfs_solution.ipynb) |
| Implement breadth-first search on a graph | [Challenge](http://nbviewer.ipython.org/github/donnemartin/interactive-coding-challenges/blob/master/graphs_trees/graph_bfs/bfs_challenge.ipynb)│[Solution](http://nbviewer.ipython.org/github/donnemartin/interactive-coding-challenges/blob/master/graphs_trees/graph_bfs/bfs_solution.ipynb) |
@@ -217,7 +218,6 @@ Challenges, solutions, and unit tests are presented in the form of **IPython/Jup
| Determine the lowest common ancestor of two nodes | [Contribute](https://github.com/donnemartin/interactive-coding-challenges/blob/master/CONTRIBUTING.md)│[Contribute](https://github.com/donnemartin/interactive-coding-challenges/blob/master/CONTRIBUTING.md) |
| Transform a binary tree into a heap | [Contribute](https://github.com/donnemartin/interactive-coding-challenges/blob/master/CONTRIBUTING.md)│[Contribute](https://github.com/donnemartin/interactive-coding-challenges/blob/master/CONTRIBUTING.md) |
| Implement a right and left rotation on a tree | [Contribute](https://github.com/donnemartin/interactive-coding-challenges/blob/master/CONTRIBUTING.md)│[Contribute](https://github.com/donnemartin/interactive-coding-challenges/blob/master/CONTRIBUTING.md) |
-| Check if a binary tree is balanced | [Contribute](https://github.com/donnemartin/interactive-coding-challenges/blob/master/CONTRIBUTING.md)│[Contribute](https://github.com/donnemartin/interactive-coding-challenges/blob/master/CONTRIBUTING.md) |
| Check if a binary tree is binary search tree | [Contribute](https://github.com/donnemartin/interactive-coding-challenges/blob/master/CONTRIBUTING.md)│[Contribute](https://github.com/donnemartin/interactive-coding-challenges/blob/master/CONTRIBUTING.md) |
| Add a challenge | [Contribute](https://github.com/donnemartin/interactive-coding-challenges/blob/master/CONTRIBUTING.md)│[Contribute](https://github.com/donnemartin/interactive-coding-challenges/blob/master/CONTRIBUTING.md) |
diff --git a/graphs_trees/check_balance/__init__.py b/graphs_trees/check_balance/__init__.py
new file mode 100644
index 0000000..e69de29
diff --git a/graphs_trees/check_balance/check_balance_challenge.ipynb b/graphs_trees/check_balance/check_balance_challenge.ipynb
new file mode 100644
index 0000000..3f13284
--- /dev/null
+++ b/graphs_trees/check_balance/check_balance_challenge.ipynb
@@ -0,0 +1,180 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "This notebook was prepared by [Donne Martin](https://github.com/donnemartin). Source and license info is on [GitHub](https://github.com/donnemartin/interactive-coding-challenges)."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Challenge Notebook"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Problem: Check if a binary tree is balanced.\n",
+ "\n",
+ "* [Constraints](#Constraints)\n",
+ "* [Test Cases](#Test-Cases)\n",
+ "* [Algorithm](#Algorithm)\n",
+ "* [Code](#Code)\n",
+ "* [Unit Test](#Unit-Test)\n",
+ "* [Solution Notebook](#Solution-Notebook)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Constraints\n",
+ "\n",
+ "* Is a balanced tree one where the heights of two sub trees of any node doesn't differ by more than 1?\n",
+ " * Yes\n",
+ "* Can we assume we already have a Node class with an insert method?\n",
+ " * Yes"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Test Cases\n",
+ "\n",
+ "* 5, 3, 8, 1, 4 -> Yes\n",
+ "* 5, 3, 8, 9, 10 -> No"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Algorithm\n",
+ "\n",
+ "Refer to the [Solution Notebook](http://nbviewer.ipython.org/github/donnemartin/interactive-coding-challenges/blob/master/graphs_trees/check_balance/check_balance_solution.ipynb). If you are stuck and need a hint, the solution notebook's algorithm discussion might be a good place to start."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Code"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "%run ../bst/bst.py\n",
+ "%load ../bst/bst.py"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "def check_balance(root):\n",
+ " # TODO: Implement me\n",
+ " pass"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Unit Test"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "**The following unit test is expected to fail until you solve the challenge.**"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "# %load test_check_balance.py\n",
+ "from nose.tools import assert_equal\n",
+ "\n",
+ "\n",
+ "class TestCheckBalance(object):\n",
+ "\n",
+ " def test_check_balance(self):\n",
+ " node = Node(5)\n",
+ " insert(node, 3)\n",
+ " insert(node, 8)\n",
+ " insert(node, 1)\n",
+ " insert(node, 4)\n",
+ " assert_equal(check_balance(node), True)\n",
+ "\n",
+ " node = Node(5)\n",
+ " insert(node, 3)\n",
+ " insert(node, 8)\n",
+ " insert(node, 9)\n",
+ " insert(node, 10)\n",
+ " assert_equal(check_balance(node), False)\n",
+ "\n",
+ " print('Success: test_check_balance')\n",
+ "\n",
+ "\n",
+ "def main():\n",
+ " test = TestCheckBalance()\n",
+ " test.test_check_balance()\n",
+ "\n",
+ "\n",
+ "if __name__ == '__main__':\n",
+ " main()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Solution Notebook\n",
+ "\n",
+ "Review the [Solution Notebook](http://nbviewer.ipython.org/github/donnemartin/interactive-coding-challenges/blob/master/graphs_trees/check_balance/check_balance_solution.ipynb) for a discussion on algorithms and code solutions."
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.10"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/graphs_trees/check_balance/check_balance_solution.ipynb b/graphs_trees/check_balance/check_balance_solution.ipynb
new file mode 100644
index 0000000..5c91c88
--- /dev/null
+++ b/graphs_trees/check_balance/check_balance_solution.ipynb
@@ -0,0 +1,218 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "This notebook was prepared by [Donne Martin](https://github.com/donnemartin). Source and license info is on [GitHub](https://github.com/donnemartin/interactive-coding-challenges)."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Solution Notebook"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Problem: Check if a binary tree is balanced.\n",
+ "\n",
+ "* [Constraints](#Constraints)\n",
+ "* [Test Cases](#Test-Cases)\n",
+ "* [Algorithm](#Algorithm)\n",
+ "* [Code](#Code)\n",
+ "* [Unit Test](#Unit-Test)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Constraints\n",
+ "\n",
+ "* Is a balanced tree one where the heights of two sub trees of any node doesn't differ by more than 1?\n",
+ " * Yes\n",
+ "* Can we assume we already have a Node class with an insert method?\n",
+ " * Yes"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Test Cases\n",
+ "\n",
+ "* 5, 3, 8, 1, 4 -> Yes\n",
+ "* 5, 3, 8, 9, 10 -> No"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Algorithm\n",
+ "\n",
+ "The algorithm will be similar to where we get the height of a tree as seen in [here](http://nbviewer.ipython.org/github/donnemartin/interactive-coding-challenges/blob/master/graphs_trees/tree_height/height_solution.ipynb).\n",
+ "\n",
+ "However, we could check whether the tree is balanced while also checking for the heights.\n",
+ "\n",
+ "* Base case: If the root is None, return 0\n",
+ "* Check the height of `root.left`, if -1, return -1\n",
+ "* Check the height of `root.right`, if -1, return -1\n",
+ "* If the height differences is greater than 1, return -1\n",
+ "* Otherwise, return 1 + max(left height, right height)\n",
+ " \n",
+ "Complexity:\n",
+ "* Time: O(n)\n",
+ "* Space: O(log n)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Code"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "%run ../bst/bst.py"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "def check_balance(root):\n",
+ " if check_height(root) == -1:\n",
+ " return False\n",
+ " else:\n",
+ " return True\n",
+ "\n",
+ "def check_height(root):\n",
+ " if root is None:\n",
+ " return 0\n",
+ " left_height = check_height(root.left)\n",
+ " if left_height == -1:\n",
+ " return -1\n",
+ " right_height = check_height(root.right)\n",
+ " if right_height == -1:\n",
+ " return -1\n",
+ " diff_height = left_height - right_height\n",
+ " if abs(diff_height) > 1:\n",
+ " return -1\n",
+ " else:\n",
+ " return 1 + max(left_height, right_height)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Unit Test"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Overwriting test_check_balance.py\n"
+ ]
+ }
+ ],
+ "source": [
+ "%%writefile test_check_balance.py\n",
+ "from nose.tools import assert_equal\n",
+ "\n",
+ "\n",
+ "class TestCheckBalance(object):\n",
+ "\n",
+ " def test_check_balance(self):\n",
+ " node = Node(5)\n",
+ " insert(node, 3)\n",
+ " insert(node, 8)\n",
+ " insert(node, 1)\n",
+ " insert(node, 4)\n",
+ " assert_equal(check_balance(node), True)\n",
+ "\n",
+ " node = Node(5)\n",
+ " insert(node, 3)\n",
+ " insert(node, 8)\n",
+ " insert(node, 9)\n",
+ " insert(node, 10)\n",
+ " assert_equal(check_balance(node), False)\n",
+ "\n",
+ " print('Success: test_check_balance')\n",
+ "\n",
+ "\n",
+ "def main():\n",
+ " test = TestCheckBalance()\n",
+ " test.test_check_balance()\n",
+ "\n",
+ "\n",
+ "if __name__ == '__main__':\n",
+ " main()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Success: test_check_balance\n"
+ ]
+ }
+ ],
+ "source": [
+ "%run -i test_check_balance.py"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.10"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/graphs_trees/check_balance/test_check_balance.py b/graphs_trees/check_balance/test_check_balance.py
new file mode 100644
index 0000000..b63de5c
--- /dev/null
+++ b/graphs_trees/check_balance/test_check_balance.py
@@ -0,0 +1,30 @@
+from nose.tools import assert_equal
+
+
+class TestCheckBalance(object):
+
+ def test_check_balance(self):
+ node = Node(5)
+ insert(node, 3)
+ insert(node, 8)
+ insert(node, 1)
+ insert(node, 4)
+ assert_equal(check_balance(node), True)
+
+ node = Node(5)
+ insert(node, 3)
+ insert(node, 8)
+ insert(node, 9)
+ insert(node, 10)
+ assert_equal(check_balance(node), False)
+
+ print('Success: test_check_balance')
+
+
+def main():
+ test = TestCheckBalance()
+ test.test_check_balance()
+
+
+if __name__ == '__main__':
+ main()
\ No newline at end of file