interactive-coding-challenges/graphs_trees/tree_dfs/dfs_challenge.ipynb

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"<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>"
]
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"source": [
"# Challenge Notebook"
]
},
{
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"metadata": {},
"source": [
"## Problem: Implement depth-first searches (in-order, pre-order, post-order traversals) on a binary tree.\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 already have a Node class with an insert method?\n",
" * Yes"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Test Cases\n",
"\n",
"### In-Order Traversal\n",
"\n",
"* 5, 2, 8, 1, 3 -> 1, 2, 3, 5, 8\n",
"* 1, 2, 3, 4, 5 -> 1, 2, 3, 4, 5\n",
"\n",
"### Pre-Order Traversal\n",
"\n",
"* 5, 2, 8, 1, 3 -> 5, 2, 1, 3, 8\n",
"* 1, 2, 3, 4, 5 -> 1, 2, 3, 4, 5\n",
"\n",
"### Post-Order Traversal\n",
"\n",
"* 5, 2, 8, 1, 3 -> 1, 3, 2, 8, 5\n",
"* 1, 2, 3, 4, 5 -> 5, 4, 3, 2, 1"
]
},
{
"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/tree_dfs/dfs_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",
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"collapsed": false
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"outputs": [],
"source": [
"class Node(object):\n",
"\n",
" def __init__(self, data):\n",
" self.data = data\n",
" self.left = None\n",
" self.right = None\n",
" \n",
" def insert(self, data):\n",
" if data <= self.data:\n",
" if self.left is None:\n",
" self.left = type(self)(data)\n",
" else:\n",
" self.left.insert(data)\n",
" else:\n",
" if self.right is None:\n",
" self.right = type(self)(data)\n",
" else:\n",
" self.right.insert(data)\n",
"\n",
" def in_order_traversal(self, visit_func):\n",
" # TODO: Implement me\n",
"\n",
" def pre_order_traversal(self, visit_func):\n",
" # TODO: Implement me\n",
"\n",
" def post_order_traversal(self, visit_func):\n",
" # TODO: Implement me"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Unit Test"
]
},
{
"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
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"outputs": [],
"source": [
"# %load test_dfs.py\n",
"from __future__ import print_function\n",
"from nose.tools import assert_equal\n",
"\n",
"\n",
"class TestDfs(object):\n",
"\n",
" def test_dfs(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",
" with captured_output() as (out, err):\n",
" root.pre_order_traversal(sys.stdout.write)\n",
" assert_equal(out.getvalue().strip(), '52138')\n",
"\n",
" with captured_output() as (out, err):\n",
" root.post_order_traversal(sys.stdout.write)\n",
" assert_equal(out.getvalue().strip(), '13285')\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",
" with captured_output() as (out, err):\n",
" root.pre_order_traversal(sys.stdout.write)\n",
" assert_equal(out.getvalue().strip(), '12345')\n",
"\n",
" with captured_output() as (out, err):\n",
" root.post_order_traversal(sys.stdout.write)\n",
" assert_equal(out.getvalue().strip(), '54321')\n",
"\n",
" print('Success: test_dfs')\n",
"\n",
"\n",
"def main():\n",
" test = TestDfs()\n",
" test.test_dfs()\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/tree_dfs/dfs_solution.ipynb) for a discussion on algorithms and code solutions."
]
}
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