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

225 lines
5.9 KiB
Python

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"cell_type": "markdown",
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"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: Implement depth-first traversals (in-order, pre-order, post-order) 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\n",
"* What should we do with each node when we process it?\n",
" * Call an input method `visit_func` on the node\n",
"* Can we assume this fits in memory?\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."
]
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{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Code"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"%run ../bst/bst.py\n",
"%load ../bst/bst.py"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"class BstDfs(Bst):\n",
"\n",
" def in_order_traversal(self, node, visit_func):\n",
" # TODO: Implement me\n",
" pass\n",
"\n",
" def pre_order_traversal(self, node, visit_func):\n",
" # TODO: Implement me\n",
" pass\n",
"\n",
" def post_order_traversal(self,node, visit_func):\n",
" # TODO: Implement me\n",
" pass"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Unit Test"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"%run ../utils/results.py"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# %load test_dfs.py\n",
"import unittest\n",
"\n",
"\n",
"class TestDfs(unittest.TestCase):\n",
"\n",
" def __init__(self, *args, **kwargs):\n",
" super(TestDfs, self).__init__()\n",
" self.results = Results()\n",
"\n",
" def test_dfs(self):\n",
" bst = BstDfs(Node(5))\n",
" bst.insert(2)\n",
" bst.insert(8)\n",
" bst.insert(1)\n",
" bst.insert(3)\n",
"\n",
" bst.in_order_traversal(bst.root, self.results.add_result)\n",
" self.assertEqual(str(self.results), \"[1, 2, 3, 5, 8]\")\n",
" self.results.clear_results()\n",
"\n",
" bst.pre_order_traversal(bst.root, self.results.add_result)\n",
" self.assertEqual(str(self.results), \"[5, 2, 1, 3, 8]\")\n",
" self.results.clear_results()\n",
"\n",
" bst.post_order_traversal(bst.root, self.results.add_result)\n",
" self.assertEqual(str(self.results), \"[1, 3, 2, 8, 5]\")\n",
" self.results.clear_results()\n",
"\n",
" bst = BstDfs(Node(1))\n",
" bst.insert(2)\n",
" bst.insert(3)\n",
" bst.insert(4)\n",
" bst.insert(5)\n",
"\n",
" bst.in_order_traversal(bst.root, self.results.add_result)\n",
" self.assertEqual(str(self.results), \"[1, 2, 3, 4, 5]\")\n",
" self.results.clear_results()\n",
"\n",
" bst.pre_order_traversal(bst.root, self.results.add_result)\n",
" self.assertEqual(str(self.results), \"[1, 2, 3, 4, 5]\")\n",
" self.results.clear_results()\n",
"\n",
" bst.post_order_traversal(bst.root, self.results.add_result)\n",
" self.assertEqual(str(self.results), \"[5, 4, 3, 2, 1]\")\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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