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{
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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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"## Problem: Implement a stack with push, pop, peek, and is_empty methods using a linked list.\n",
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"\n",
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"* [Constraints and Assumptions](#Constraints-and-Assumptions)\n",
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"* [Test Cases](#Test-Cases)\n",
"* [Algorithm](#Algorithm)\n",
"* [Code](#Code)\n",
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"* [Unit Test](#Unit-Test)\n",
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"* [Pythonic-Code](#Pythonic-Code)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
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"## Constraints\n",
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"\n",
"*Problem statements are often intentionally ambiguous. Identifying constraints and stating assumptions can help to ensure you code the intended solution.*\n",
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"\n",
"* None"
]
},
{
"cell_type": "markdown",
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"source": [
"## Test Cases\n",
"\n",
"### Push\n",
"\n",
"* Push to empty stack\n",
"* Push to non-empty stack\n",
"\n",
"### Pop\n",
"\n",
"* Pop on empty stack\n",
"* Pop on single element stack\n",
"* Pop on multiple element stack\n",
"\n",
"### Peek\n",
"\n",
"* Peek on empty stack\n",
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"* Peek on one or more element stack\n",
"\n",
"### Is Empty\n",
"\n",
"* Is empty on empty stack\n",
"* Is empty on one or more element stack"
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]
},
{
"cell_type": "markdown",
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"source": [
"## Algorithm\n",
"\n",
"### Push\n",
"\n",
"* Create new node with value\n",
"* Set node's next to top\n",
"* Set top to node\n",
"\n",
"Complexity:\n",
"* Time: O(1)\n",
"* Space: O(1)\n",
"\n",
"### Pop\n",
"\n",
"* If stack is empty, return NULL\n",
"* Else \n",
" * Save top's value\n",
" * Set top to top.next\n",
" * Return saved value\n",
"\n",
"Complexity:\n",
"* Time: O(1)\n",
"* Space: O(1)\n",
"\n",
"### Peek\n",
"\n",
"* If stack is empty, return NULL\n",
"* Else return top's value\n",
"\n",
"Complexity:\n",
"* Time: O(1)\n",
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"* Space: O(1)\n",
"\n",
"### Is Empty\n",
"* If peek has a value, return False\n",
"* Else return True\n",
"\n",
"Complexity:\n",
"* Time: O(1)\n",
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"* Space: O(1)"
]
},
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"cell_type": "markdown",
"metadata": {},
"source": [
"## Code"
]
},
{
"cell_type": "code",
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"execution_count": 1,
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"metadata": {
"collapsed": false
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"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Overwriting stack.py\n"
]
}
],
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"source": [
"%%writefile stack.py\n",
"\n",
"class Node(object):\n",
" def __init__(self, data):\n",
" self.data = data\n",
" self.next = None\n",
"\n",
"class Stack(object):\n",
" def __init__(self, top=None):\n",
" self.top = top\n",
"\n",
" def push(self, data):\n",
" node = Node(data)\n",
" node.next = self.top\n",
" self.top = node\n",
"\n",
" def pop(self):\n",
" if self.top is not None:\n",
" data = self.top.data\n",
" self.top = self.top.next\n",
" return data\n",
" return None\n",
"\n",
" def peek(self):\n",
" if self.top is not None:\n",
" return self.top.data\n",
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" return None\n",
"\n",
" def is_empty(self):\n",
" return self.peek() is None"
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]
},
{
"cell_type": "code",
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"execution_count": 2,
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"metadata": {
"collapsed": false
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"outputs": [],
"source": [
"%run stack.py"
]
},
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"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.*"
]
},
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{
"cell_type": "code",
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"execution_count": 3,
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"metadata": {
"collapsed": false
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"outputs": [
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"name": "stdout",
"output_type": "stream",
"text": [
"Test: Empty stack\n",
"Test: One element\n",
"Test: More than one element\n",
"Success: test_end_to_end\n"
]
}
],
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"source": [
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"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: Empty stack')\n",
" stack = Stack()\n",
" assert_equal(stack.peek(), None)\n",
" assert_equal(stack.pop(), None)\n",
"\n",
" print('Test: One element')\n",
" top = Node(5)\n",
" stack = Stack(top)\n",
" assert_equal(stack.pop(), 5)\n",
" assert_equal(stack.peek(), None)\n",
"\n",
" print('Test: More than one element')\n",
" stack = Stack()\n",
" stack.push(1)\n",
" stack.push(2)\n",
" stack.push(3)\n",
" assert_equal(stack.pop(), 3)\n",
" assert_equal(stack.peek(), 2)\n",
" assert_equal(stack.pop(), 2)\n",
" assert_equal(stack.peek(), 1)\n",
" assert_equal(stack.is_empty(), False)\n",
" assert_equal(stack.pop(), 1)\n",
" assert_equal(stack.peek(), None)\n",
" assert_equal(stack.is_empty(), True)\n",
" \n",
" print('Success: test_end_to_end')\n",
"\n",
"if __name__ == '__main__':\n",
" test = Test()\n",
" test.test_end_to_end()"
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]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Pythonic-Code"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Source: https://docs.python.org/2/tutorial/datastructures.html#using-lists-as-stacks\n",
"<pre>\n",
"5.1.1. Using Lists as Stacks\n",
"The list methods make it very easy to use a list as a stack, where the last element added is the first element retrieved (“last-in, first-out”). To add an item to the top of the stack, use append(). To retrieve an item from the top of the stack, use pop() without an explicit index. For example:\n",
"\n",
">>> stack = [3, 4, 5]\n",
">>> stack.append(6)\n",
">>> stack.append(7)\n",
">>> stack\n",
"[3, 4, 5, 6, 7]\n",
">>> stack.pop()\n",
"7\n",
">>> stack\n",
"[3, 4, 5, 6]\n",
">>> stack.pop()\n",
"6\n",
">>> stack.pop()\n",
"5\n",
">>> stack\n",
"[3, 4]\n",
"</pre>"
]
}
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