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"# Our First ADTs: Lists, Stacks, and Queues\n",
"\n",
"This course is about **Abstract Data Types (ADTs)** and their implementation with **Data Structures**.\n",
"\n",
"## Abstract Data Types (ADTs)\n",
"\n",
"An ADT is a description of how to use data, but not how that data is stored or implemented. It can be thought of as a formally defined **interface**. This concept is a core principle of object-oriented programming: the separation of interface and implementation.\n",
"\n",
"Common ADTs include:\n",
"* List\n",
"* Stack\n",
"* Queue\n",
"* Map\n",
"* Priority Queue\n",
"* Graph\n",
"\n",
"We're going to start with the first three.\n",
"\n",
"## Data Structures\n",
"\n",
"A **data structure** is the concrete implementation of an ADT. At their most basic, data structures are variables, arrays, or linked lists, along with the functions that make them behave in a way that implements a specific ADT.\n",
"\n",
"---\n",
"\n",
"## Lists\n",
"\n",
"A **List** is a container that holds data in a specific order.\n",
"\n",
"An **indexed list** is a type of list where elements are identified by their position, or index. It supports the following operations, which specify its behavior as an ADT:\n",
"* `get(i)`: Returns the data at the *i*th position in the list.\n",
"* `set(i, e)`: Replaces the data at the *i*th position with element *e* and returns the old data.\n",
"* `add(i, e)`: Inserts element *e* at position *i*. All elements with an index greater than *i* are shifted to a new index one greater than their previous index.\n",
"* `remove(i)`: Removes the data at position *i*. All elements with a higher index are shifted down.\n",
"\n",
"### Implementation with an Array\n",
"\n",
"An array is a common way to implement an indexed list.\n",
"* The `get` and `set` operations are efficient, taking constant time, or **O(1)**.\n",
"* The `add` and `remove` operations are less efficient. In the worst-case scenario, they require shifting many elements, making their runtime proportional to the number of elements, or **O(n)**.\n",
"\n",
"This implementation might look like this (though in Python, this is a little\n",
"silly since the most basic array-like thing is already a `list`):\n",
"\n",
"```python\n",
"class IList:\n",
" def __init__(self):\n",
" self.A = []\n",
" self.capacity = 0\n",
" self.size = 0\n",
" \n",
" def get(self, index):\n",
" return self.A[index]\n",
" \n",
" def set(self, index, elem):\n",
" f = self.A[index]\n",
" self.A[index] = elem\n",
" return f\n",
" \n",
" def add(self, index, elem):\n",
" # Make a new array which is one bigger\n",
" if self.size == self.capacity:\n",
" newA = [None]*self.capacity+1\n",
" for i in range(self.size):\n",
" newA[i]=self.A[i]\n",
" self.A = newA\n",
" self.capacity += 1\n",
"\n",
" # Make room at index by sliding everything in a larger index over\n",
" for j in range(self.size, index, -1):\n",
" self.A[j] = self.A[j-1]\n",
" self.A[index] = elem\n",
" self.size += 1\n",
" \n",
" def remove(self, i):\n",
" for j in range(i, self.size-1):\n",
" self.A[j] = self.A[j+1]\n",
" self.size -= 1\n",
"```\n",
"\n",
"### Implementation with a Linked List\n",
"\n",
"A linked list can also be used to implement an indexed list. `get()`, `set()`,\n",
"`add()` and `remove()` could be made to work, but all would be $O(n)$, because\n",
"they depend on accessing an arbitrary index.\n",
"\n",
"---\n",
"\n",
"## Stacks\n",
"\n",
"A **Stack** is an ADT with two primary operations that follow the \"last-in, first-out\" (LIFO) principle. It's a container where you can only add or remove elements from the \"top\".\n",
"\n",
"The main operations are:\n",
"* `push(e)`: Adds element *e* to the top of the stack.\n",
"* `pop()`: Removes and returns the most recently added item.\n",
"* `top()/peek()`: Returns the most recently added item without removing it.\n",
"\n",
"### Uses of Stacks\n",
"\n",
"Stacks have several practical applications:\n",
"* **Reversing a sequence:** Pushing a series of items onto a stack and then popping them off reverses their order.\n",
"* **Navigating backward:** Stacks can be used to track a path, like breadcrumbs in a maze, allowing you to backtrack to a previous point.\n",
"* **Managing function calls:** A **call stack** is used by a program to manage function calls. When a function is called, it is pushed onto the stack. When it returns, it is popped off.\n",
"* **Matching pairs:** Stacks are useful for checking if parentheses, brackets, or other symbols are correctly matched in an expression.\n",
"\n",
"### Implementation of Stacks\n",
"\n",
"Stacks can be implemented using either a **linked list** or an **array**.\n",
"* With a linked list, you can implement `push` by inserting at the head and `pop` by removing the head. Both operations are very efficient, taking **O(1)** time.\n",
"* With an array, you can keep track of the next empty spot and add or remove elements from there. Both `push` and `pop` are typically **O(1)** operations.\n",
"\n",
"When an array-based stack runs out of space, it must be **resized** by copying\n",
"all its elements to a new, larger array. If we make it one bigger, this would\n",
"make `push()` into an $O(n)$ operation. However, if we make it *twice* as big,\n",
"then it makes lots and lots of open spaces, and each `push()` for a while is\n",
"$O(1)$. We can perform something called **amortized analysis**, which shows\n",
"that while it's *occasionally* $O(n)$, it is *nearly always* $O(1)$, and the\n",
"*average* runtime in a long sequence of pushes is $O(1)$, so that's what we\n",
"call it. This is what is implemented in Python's `append()` function on a\n",
"list.\n",
" \n",
"Amortization is an accounting technique of spreading cost of occasional\n",
"purchases across many years. Let's say your business buys a \\$100,000 machine\n",
"every 10 years, how would you run your books? You could make money 9 out of 10\n",
"years, and lose big the 10th year, or you could amortize the cost, saying the\n",
"the machine costs you $10,000 per year. We can do the same thing with run\n",
"times when we have an occasional expensive operation among many cheap ones.\n",
"\n",
"The following table counts the number of assignments necessary to push onto a\n",
"stack implemented with an array, and spreads those assignments out across\n",
"earlier, cheaper pushes.\n",
" \n",
"| size | cost for each push |\n",
"| --- | --- |\n",
"| 1 | 1 2 (second push requires a copy, then a push |\n",
"| 2 | 3 0 (amortize some cost earlier) |\n",
"| 2 | 3 0 3 (push requires 2 copies plus push) |\n",
"| 4 | 3 3 0 (amortize) |\n",
"| 4 | 3 3 0 1 (simple push) |\n",
"| 4 | 3 3 0 1 5 (copies + push) |\n",
"| 8 | 3 3 3 3 0 (amortize) |\n",
"| 8 | 3 3 3 3 0 1 1 1 9 |\n",
"| 16 | 3 3 3 3 3 3 3 3 0 (amortize) |\n",
"| 16 | 3 3 3 3 3 3 3 3 0 1 1 1 1 1 1 1 17 |\n",
"| 32 | 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 |\n",
"| 32 | 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 33 |\n",
"| 64 | 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 |\n",
" \n",
"As you can see, the amortized cost of each push never grows beyond 3, and so\n",
"we can still say the cost of a push, even with resizing the array, is $O(1)$.\n"
]
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"We can further illustrate this by graphing the number of assignments necessary to do a push for some large number of pushes. The below function counts the number of assignments necessary to perform each of `N` consecutive pushes. `capacity` refers to the size of the array, and `size` refers to the number of elements that have been put in the array. Note that `capacity` doubles when the array is full (meaning `size==capacity`). `this_assign` counts the number of assignments for that push, and appends it to a list, so the function can return a list of all the assignments required for each push."
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"def count_assignments(N):\n",
" capacity = 1\n",
" size = 0\n",
" assignments = []\n",
" for _ in range(N):\n",
" this_assign = 0\n",
" if size == capacity:\n",
" this_assign = size\n",
" capacity *= 2\n",
" this_assign += 1\n",
" size += 1\n",
" assignments.append(this_assign)\n",
" return assignments"
]
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"source": [
"Here we do this with `N=10`, and you can see that the number of assignments matches the illustration in class."
]
},
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"id": "aae04f04-02c9-472d-a9bf-5da30e3ad7aa",
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"text": [
"[1, 2, 3, 1, 5, 1, 1, 1, 9, 1]\n"
]
}
],
"source": [
"print(count_assignments(10))"
]
},
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"id": "bf919c2a-d63a-4a27-904c-b3ae0d8783c0",
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"source": [
"OK, let's do this for 10,000 consecutive pushes, and then plot the result."
]
},
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"execution_count": 3,
"id": "29b4aa17-9f77-4359-99de-5fd80928cf7f",
"metadata": {},
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"source": [
"assignments = count_assignments(10000)"
]
},
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",
"dtype": "i2"
},
"xaxis": "x",
"y": {
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"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import plotly.io as pio\n",
"pio.renderers.default = 'notebook'\n",
"import plotly.express as px\n",
"\n",
"fig = px.line(y=assignments, title=\"Assignments per push\")\n",
"\n",
"fig.show()"
]
},
{
"cell_type": "markdown",
"id": "1f27917a-d257-4dbb-9c26-119d0d25569f",
"metadata": {},
"source": [
"You can see the increasingly-large peaks representing the $O(n)$ operation required for building the occasional new array. You can also see that these peaks are getting increasingly far apart.\n",
"\n",
"Now below, I calculate the average number of assignments necessary for each push. In other words, when the x-axis is 15, the y-axis is the average number of assignments required to do that many pushes."
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "6b4e524e-6b0a-4e98-9170-e681cdf81d4b",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "x=%{x}
y=%{y}",
"legendgroup": "",
"line": {
"color": "#636efa",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "",
"showlegend": false,
"type": "scattergl",
"x": {
"bdata": 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",
"dtype": "i2"
},
"xaxis": "x",
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"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"averages = []\n",
"for i in range(len(assignments)):\n",
" averages.append( sum(assignments[:i])/(i+1))\n",
"\n",
"fig = px.line(y = averages, title=\"Average assignments per push up to this point\")\n",
"fig.show()"
]
},
{
"cell_type": "markdown",
"id": "2bba36b5-db58-4e12-bd29-743c0757482f",
"metadata": {},
"source": [
"Note that the average number of pushes never rises above 3, no matter how many pushes we do. The average number of pushes does not increase as `N` increases, so the average amount of work is $O(1)$."
]
},
{
"cell_type": "markdown",
"id": "25b2a402-f6b1-4eb2-97cc-e8755b7d9146",
"metadata": {},
"source": [
"---\n",
"\n",
"## Queues\n",
"\n",
"A **Queue** is an ADT where items are processed in the order they are added, following a \"first-in, first-out\" (FIFO) principle. It's similar to waiting in a line.\n",
"\n",
"The two main operations are:\n",
"* `enqueue(e)`: Adds element *e* to the back of the queue.\n",
"* `dequeue()`: Removes and returns the oldest item from the front of the queue.\n",
"* `head()`: Returns the oldest item without removing it.\n",
"\n",
"### Implementation of Queues\n",
"\n",
"Like stacks, queues can be implemented with a **linked list** or an **array**.\n",
"* Using a linked list, you can `enqueue` by adding to the tail and `dequeue` by removing from the head. Both operations are efficient with an **O(1)** time complexity.\n",
"* Using an array presents a new problem: as elements are added and removed,\n",
" the data \"walks\" to the right side of the array. To solve this, a **circular\n",
" array** approach can be used. This involves keeping track of both the front\n",
" and back of the queue and \"wrapping around\" the array when the end is\n",
" reached. Again, when we run out of room, we resize to one twice as big, and\n",
"benefit from the averaging behavior of the occasional slow enqueue. This method ensures that `enqueue` and `dequeue` are both **O(1)** operations, even with resizing."
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "5083a727-490a-4416-816b-311abf60fa5a",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.13.5"
}
},
"nbformat": 4,
"nbformat_minor": 5
}