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" This notebook was prepared by [Donne Martin](http://donnemartin.com). Source and license info is on [GitHub](https://github.com/donnemartin/interactive-coding-challenges). "
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" # Solution Notebook "
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]
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{
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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](#Constraints) \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) "
]
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{
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" ## Constraints \n " ,
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" \n " ,
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" * If we pop on an empty stack, do we return None? \n " ,
" * Yes \n " ,
" * Can we assume this fits memory? \n " ,
" * Yes "
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]
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{
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" ## 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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]
} ,
{
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" ## 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 " ,
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" * If stack is empty, return None \n " ,
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" * 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 " ,
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" * If stack is empty, return None \n " ,
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" * 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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" metadata " : { } ,
" source " : [
" ## Code "
]
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" execution_count " : 1 ,
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" metadata " : {
" collapsed " : false
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" outputs " : [
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" name " : " stdout " ,
" output_type " : " stream " ,
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" Overwriting stack.py \n "
]
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] ,
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" source " : [
" %% writefile stack.py \n " ,
" class Node(object): \n " ,
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" \n " ,
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" def __init__(self, data, next=None): \n " ,
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" self.data = data \n " ,
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" self.next = next \n " ,
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" \n " ,
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" \n " ,
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" class Stack(object): \n " ,
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" \n " ,
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" def __init__(self, top=None): \n " ,
" self.top = top \n " ,
" \n " ,
" def push(self, data): \n " ,
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" self.top = Node(data, self.top) \n " ,
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" \n " ,
" def pop(self): \n " ,
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" if self.top is None: \n " ,
" return None \n " ,
" data = self.top.data \n " ,
" self.top = self.top.next \n " ,
" return data \n " ,
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" \n " ,
" def peek(self): \n " ,
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" return self.top.data if self.top is not None else None \n " ,
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" \n " ,
" def is_empty(self): \n " ,
" return self.peek() is None "
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]
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" cell_type " : " code " ,
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" execution_count " : 2 ,
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" collapsed " : false
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" outputs " : [ ] ,
" source " : [
" %r un stack.py "
]
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{
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" ## Unit Test \n " ,
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" \n "
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]
} ,
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{
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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 " : [
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" Overwriting test_stack.py \n "
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]
}
] ,
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" source " : [
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" %% writefile test_stack.py \n " ,
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" from nose.tools import assert_equal \n " ,
" \n " ,
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" \n " ,
" class TestStack(object): \n " ,
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" \n " ,
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" # 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 " ,
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" \n " ,
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" print( ' Success: test_end_to_end ' ) \n " ,
" \n " ,
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" \n " ,
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" def main(): \n " ,
" test = TestStack() \n " ,
" test.test_end_to_end() \n " ,
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" \n " ,
" \n " ,
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" if __name__ == ' __main__ ' : \n " ,
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" main() "
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" Test: Empty stack \n " ,
" Test: One element \n " ,
" Test: More than one element \n " ,
" Success: test_end_to_end \n "
]
}
] ,
" source " : [
" %r un -i test_stack.py "
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]
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" source " : [
" ## Pythonic-Code "
]
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" 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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