interactive-coding-challenges/graphs_trees/bst/bst_challenge.ipynb

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2015-08-01 21:25:14 +08:00
{
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{
"cell_type": "markdown",
"metadata": {},
"source": [
"<small><i>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).</i></small>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Challenge Notebook"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Problem: Implement a binary search tree with an insert method.\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",
"* Can we assume we are working with valid integers?\n",
" * Yes\n",
"* Can we assume all left descendents <= n < all right descendents?\n",
" * Yes\n",
"* For simplicity, can we use just a Node class without a wrapper Tree class?\n",
" * Yes"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Test Cases\n",
"\n",
"### Insert\n",
"\n",
"Insert will be tested through the following traversal:\n",
"\n",
"### In-Order Traversal (Provided)\n",
"\n",
"* 5, 2, 8, 1, 3 -> 1, 2, 3, 5, 8\n",
"* 1, 2, 3, 4, 5 -> 1, 2, 3, 4, 5"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Algorithm\n",
"\n",
"Refer to the [solution notebook](https://github.com/donnemartin/interactive-coding-challenges/graphs_trees/bst/bst_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": "markdown",
"metadata": {},
"source": [
"Note: `in_order_traversal` is provided for testing purposes."
]
},
{
"cell_type": "code",
"execution_count": null,
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"collapsed": false
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"class Node(object):\n",
"\n",
" def __init__(self, data):\n",
" # TODO: Implement me\n",
"\n",
" def insert(self, data):\n",
" # TODO: Implement me\n",
"\n",
" def in_order_traversal(self, visit_func):\n",
" if self.left is not None:\n",
" self.left.in_order_traversal(visit_func)\n",
" visit_func(self.data)\n",
" if self.right is not None:\n",
" self.right.in_order_traversal(visit_func)"
]
},
{
"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": true
},
"outputs": [],
"source": [
"%run ../utils/captured_output.py"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# %load test_bst.py\n",
"from __future__ import print_function\n",
"from nose.tools import assert_equal\n",
"\n",
"\n",
"class TestTree(object):\n",
"\n",
" def test_tree(self):\n",
" root = Node(5)\n",
" root.insert(2)\n",
" root.insert(8)\n",
" root.insert(1)\n",
" root.insert(3)\n",
"\n",
" with captured_output() as (out, err):\n",
" root.in_order_traversal(sys.stdout.write)\n",
" assert_equal(out.getvalue().strip(), '12358')\n",
"\n",
" root = Node(1)\n",
" root.insert(2)\n",
" root.insert(3)\n",
" root.insert(4)\n",
" root.insert(5)\n",
"\n",
" with captured_output() as (out, err):\n",
" root.in_order_traversal(sys.stdout.write)\n",
" assert_equal(out.getvalue().strip(), '12345')\n",
"\n",
" print('Success: test_tree')\n",
"\n",
"\n",
"def main():\n",
" test = TestTree()\n",
" test.test_tree()\n",
"\n",
"\n",
"if __name__ == '__main__':\n",
" main()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Solution Notebook\n",
"\n",
"Review the [solution notebook](https://github.com/donnemartin/interactive-coding-challenges/graphs_trees/bst/bst_solution.ipynb) for a discussion on algorithms and code solutions."
]
}
],
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