interactive-coding-challenges/stacks_queues/queue_list/queue_list.ipynb
2015-06-30 05:55:58 -04:00

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{
"cell_type": "markdown",
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"source": [
"<small><i>This notebook was prepared by [Donne Martin](http://donnemartin.com). Source and license info is on [GitHub](https://bit.ly/code-notes).</i></small>"
]
},
{
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"metadata": {},
"source": [
"## Problem: Implement a queue with enqueue and dequeue methods using a linked list.\n",
"\n",
"* [Constraints](#Constraints)\n",
"* [Test Cases](#Test-Cases)\n",
"* [Algorithm](#Algorithm)\n",
"* [Code](#Code)\n",
"* [Unit Test](#Unit-Test)\n",
"* [Pythonic-Code](#Pythonic-Code)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Constraints\n",
"\n",
"*Problem statements are often intentionally ambiguous. Identifying constraints and stating assumptions can help to ensure you code the intended solution.*\n",
"\n",
"* If there is one item in the list, do you expect the first and last pointers to both point to it?\n",
" * Yes\n",
"* If there are no items on the list, do you expect the first and last pointers to be NULL?\n",
" * Yes"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Test Cases\n",
"\n",
"### Enqueue\n",
"\n",
"* Enqueue to an empty queue\n",
"* Enqueue to a non-empty queue\n",
"\n",
"### Dequeue\n",
"\n",
"* Dequeue an empty queue\n",
"* Dequeue a queue with one element\n",
"* Dequeue a queue with more than one element"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Algorithm\n",
"\n",
"### Enqueue\n",
"\n",
"* If the list is empty, set first and last to node\n",
"* Else, set last to node\n",
"\n",
"Complexity:\n",
"* Time: O(1)\n",
"* Space: O(1)\n",
"\n",
"### Dequeue\n",
"\n",
"* If the list is empty, return NULL\n",
"* If the list has one node\n",
" * Save the first node's value\n",
" * Set first and last to NULL\n",
" * Return the saved value\n",
"* Else\n",
" * Save the first node's value\n",
" * Set first to its next node\n",
" * Return the saved value\n",
"\n",
"Complexity:\n",
"* Time: O(1)\n",
"* Space: O(1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Code"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
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"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Overwriting queue_list.py\n"
]
}
],
"source": [
"%%writefile queue_list.py\n",
"# Need to avoid naming this queue.py as it \n",
"# will conflict with IPython Notebook\n",
"\n",
"class Node(object):\n",
" def __init__(self, data):\n",
" self.data = data\n",
" self.next = None\n",
"\n",
"class Queue(object):\n",
" def __init__(self):\n",
" self.first = None\n",
" self.last = None\n",
"\n",
" def enqueue(self, data):\n",
" node = Node(data)\n",
" if self.first is None and self.last is None:\n",
" self.first = node\n",
" self.last = node\n",
" else:\n",
" self.last.next = node\n",
" self.last = node\n",
"\n",
" def dequeue(self):\n",
" # Empty list\n",
" if self.first is None and self.last is None:\n",
" return None\n",
" \n",
" # Remove only element from a one element list\n",
" elif self.first == self.last:\n",
" data = self.first.data\n",
" self.first = None\n",
" self.last = None\n",
" return data\n",
" else:\n",
" data = self.first.data\n",
" self.first = self.first.next\n",
" return data"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
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"outputs": [],
"source": [
"%run queue_list.py"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Unit Test\n",
"\n",
"*It is important to identify and run through general and edge cases from the [Test Cases](#Test-Cases) section by hand. You generally will not be asked to write a unit test like what is shown below.*"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
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"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Test: Dequeue an empty queue\n",
"Test: Enqueue to an empty queue\n",
"Test: Dequeue a queue with one element\n",
"Test: Enqueue to a non-empty queue\n",
"Test: Dequeue a queue with more than one element\n",
"Success: test_end_to_end\n"
]
}
],
"source": [
"from nose.tools import assert_equal\n",
"\n",
"class Test(object):\n",
" # TODO: It would be better if we had unit tests for each\n",
" # method in addition to the following end-to-end test\n",
" def test_end_to_end(self):\n",
" print('Test: Dequeue an empty queue')\n",
" queue = Queue()\n",
" assert_equal(queue.dequeue(), None)\n",
"\n",
" print('Test: Enqueue to an empty queue')\n",
" queue.enqueue(1)\n",
"\n",
" print('Test: Dequeue a queue with one element')\n",
" assert_equal(queue.dequeue(), 1)\n",
"\n",
" print('Test: Enqueue to a non-empty queue')\n",
" queue.enqueue(2)\n",
" queue.enqueue(3)\n",
" queue.enqueue(4)\n",
"\n",
" print('Test: Dequeue a queue with more than one element')\n",
" assert_equal(queue.dequeue(), 2)\n",
" assert_equal(queue.dequeue(), 3)\n",
" assert_equal(queue.dequeue(), 4)\n",
" \n",
" print('Success: test_end_to_end')\n",
"\n",
"if __name__ == '__main__':\n",
" test = Test()\n",
" test.test_end_to_end()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Pythonic-Code"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Source: https://docs.python.org/2/tutorial/datastructures.html#using-lists-as-queues\n",
"<pre>\n",
"It is possible to use a list as a queue, where the first element added is the first element retrieved (“first-in, first-out”); however, lists are not efficient for this purpose. While appends and pops from the end of list are fast, doing inserts or pops from the beginning of a list is slow (because all of the other elements have to be shifted by one).\n",
"\n",
"To implement a queue, use collections.deque which was designed to have fast appends and pops from both ends. For example:\n",
"\n",
">>>\n",
">>> from collections import deque\n",
">>> queue = deque([\"Eric\", \"John\", \"Michael\"])\n",
">>> queue.append(\"Terry\") # Terry arrives\n",
">>> queue.append(\"Graham\") # Graham arrives\n",
">>> queue.popleft() # The first to arrive now leaves\n",
"'Eric'\n",
">>> queue.popleft() # The second to arrive now leaves\n",
"'John'\n",
">>> queue # Remaining queue in order of arrival\n",
"deque(['Michael', 'Terry', 'Graham'])\n",
"</pre>"
]
}
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