In the last lesson, we introduced the concept of references and mentioned that everything is always passed by reference in Python. Let us experiment with a list as our first known mutable object.
But first, we need to learn about tools for our experiments: the id function and the is operator.
The id and is methods
If you refer to the function description (help(id)), the documentation will tell you:
The id function returns a unique identifier of an object passed to it as an argument and by reference.
The identifier is an ordinary number. But each object has a unique identifier.
It means that any two objects will always have different identifiers. Python does not preserve identifiers from one run to the next, so the object-identifier relationship is unbreakable within one run.
That is why identifiers help keep track of object references we pass between different code sections.
The object identifier will be the same regardless of what reference we use to access the object:
When we assign a value of one variable to another, we create a new named reference to the original value. Therefore id(a) and id(b) return the same result.
The is operator checks if the identifiers of its operands are equal. In this example, both variables refer to the same object, so checking a is b gives True.
Checking for equality of identifiers is very quick. And it is convenient to use when we deal with so-called single objects.
The most famous Python singles are:
So the None check is usually written like this:
Lists, tuples, and references
Check out this example:
Here we see that lists a and b have been changed. There are not two lists but two references to one list. We will continue:
As you may have guessed, the list stores two references to the same object, which is also mutable. It is the subtlety of working with the references. When we get them from somewhere, we cannot be sure that the object will not change over time without our involvement.
Remember when we said that a tuple cannot change? Let us look at this example:
As you can see, the value in the tuple has changed. It happened because the tuple contents are references to values. These references cannot change, but the objects connected to them may well change.
Let us observe lists and tuples created using the special syntax: multiplication of a list or tuple by a number.
If we multiply a list or tuple by n, we get a new collection of the corresponding type.
It consists of n repetitions of elements of the original collection. Here are a few examples:
Do not forget that collections are always collections of references. You can guess how these duplicated collections will behave when the items being modified change. Take a look:
References and assignments
We saw that you can add more than one reference to a single object to a list. And that variables are the same as references, just named.
But what happens to variables and list items when you assign them? Let us have a look:
This example shows that the variable name is not strictly related to the reference to the value.
Assigning a variable (+= is a type of assignment) can change one reference to another. This property is also characteristic of list items:
Here the first two items in the list refer to the same value. However, when you assign a new value to the first element, you break the link between the original value and the element.
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<div id="app" data-page="{"component":"web/courses/lessons/theory_unit","props":{"errors":{},"locale":"en","language":"en","httpsHost":"https://hexlet.io","host":"hexlet.io","colorScheme":"light","auth":{"user":{"id":null,"last_viewed_notification_id":null,"email":null,"state":null,"first_name":"","last_name":"","current_program":null,"current_team":null,"full_name":"","guest":true,"can_use_paid_features":false,"is_hexlet_employee":false,"sanitized_phone_number":"","can_subscribe":true,"can_renew_education":false}},"cloudflareTurnstileSiteKey":"0x4AAAAAAA15KmeFXzd2H0Xo","vkIdClientId":"51586979","yandexIdClientId":null,"formAuthToken":"JkhiJUBRazDDCtRpqtnhBj6HL0wZ5MX-0WcXOQG90m51jg8TYTpQ0KQAK4EYR9bHMi2hF9X63_Jz4t0qTGENtQ","topics":[],"lesson":{"exercise":null,"units":[{"id":9024,"name":"theory","url":"/courses/python-lists/lessons/references-and-mutation/theory_unit"},{"id":9752,"name":"quiz","url":"/courses/python-lists/lessons/references-and-mutation/quiz_unit"}],"links":[],"ordered_units":[{"id":9024,"name":"theory","url":"/courses/python-lists/lessons/references-and-mutation/theory_unit"},{"id":9752,"name":"quiz","url":"/courses/python-lists/lessons/references-and-mutation/quiz_unit"}],"id":3992,"slug":"references-and-mutation","state":"approved","name":"References and variability","course_order":350,"goal":"Finding out how variability manifests in the value transfers","self_study":null,"theory_video_provider":null,"theory_video_uid":null,"theory":"In the last lesson, we introduced the concept of references and mentioned that everything is always passed by reference in Python. Let us experiment with a list as our first known mutable object.\n\nBut first, we need to learn about tools for our experiments: the `id` function and the `is` operator.\n\n## The `id` and `is` methods\n\nIf you refer to the function description (`help(id)`), the documentation will tell you:\n\n``` text\nid(obj, /)\n Return the identity of an object.\n\n It is guaranteed to be unique among simultaneously existing objects.\n```\n\nThe `id` function returns a unique identifier of an object passed to it as an argument and by reference.\n\n**The identifier** is an ordinary number. But each object has a unique identifier.\n\nIt means that any two objects will always have different identifiers. Python does not preserve identifiers from one run to the next, so the object-identifier relationship is unbreakable within one run.\n\nThat is why identifiers help keep track of object references we pass between different code sections.\n\nThe object identifier will be the same regardless of what reference we use to access the object:\n\n```python\na = \"some string\"\nb = a\nid(a) # 139739990935280\nid(b) # 139739990935280\nprint(a is b) # => True\n```\n\nWhen we assign a value of one variable to another, we create a new named reference to the original value. Therefore `id(a)` and `id(b)` return the same result.\n\nThe `is` operator checks if the identifiers of its operands are equal. In this example, both variables refer to the same object, so checking `a is b` gives `True`.\n\nChecking for equality of identifiers is very quick. And it is convenient to use when we deal with so-called **single objects**.\n\nThe most famous Python singles are:\n\n* `True`\n* `False`\n* `None`\n\nSo the `None` check is usually written like this:\n\n```python\n...\nif foo is None:\n ...\n```\n\n## Lists, tuples, and references\n\nCheck out this example:\n\n```python\na = [1, 2, 3]\nb = a\na.append(4)\nprint(b) # => [1, 2, 3, 4]\n```\n\nHere we see that lists `a` and `b` have been changed. There are not two lists but two references to one list. We will continue:\n\n```python\na = []\nl = [a, a]\na.append(1)\nprint(l) # => [[1], [1]]\n```\n\nAs you may have guessed, the list stores two references to the same object, which is also mutable. It is the subtlety of working with the references. When we get them from somewhere, we cannot be sure that the object will not change over time without our involvement.\n\nRemember when we said that a tuple cannot change? Let us look at this example:\n\n```python\na = []\npair = (a, a)\npair[0].append(1)\npair[1].append(2)\nprint(pair) # => ([1, 2], [1, 2])\n```\n\nAs you can see, the value in the tuple has changed. It happened because the tuple contents are **references to values**. These references cannot change, but the objects connected to them may well change.\n\nLet us observe lists and tuples created using the special syntax: multiplication of a list or tuple by a number.\n\nIf we multiply a list or tuple by `n`, we get a new collection of the corresponding type.\n\nIt consists of `n` repetitions of elements of the original collection. Here are a few examples:\n\n```python\nprint([1, 2, 3] * 3) # => [1, 2, 3, 1, 2, 3, 1, 2, 3]\nprint(('foo', 'bar') * 2) # => ('foo', 'bar', 'foo', 'bar')\nprint([[]] * 5) # => [[], [], [], [], []]\nprint(((),) * 5) # => ((), (), (), (), ())\n```\n\nDo not forget that collections are always collections of references. You can guess how these duplicated collections will behave when the items being modified change. Take a look:\n\n```python\nt = ([], [], []) * 3\nprint(t) # => ([], [], [], [], [], [], [], [], [])\nt[0].append(42)\nt[1].append(0)\nprint(t) # => ([42], [0], [], [42], [0], [], [42], [0], [])\n```\n\n## References and assignments\n\nWe saw that you can add more than one reference to a single object to a list. And that variables are the same as references, just named.\n\nBut what happens to variables and list items when you assign them? Let us have a look:\n\n```python\na = \"foo\"\nid(a) # 139739990954536\na += \"bar\"\nprint(a) # => 'foobar'\nid(a) # 139739952783688\n```\n\nThis example shows that the variable name is not strictly related to the reference to the value.\n\nAssigning a variable (`+=` is a type of assignment) can change one reference to another. This property is also characteristic of list items:\n\n```python\na = \"foo\"\nl = [a, a]\nprint(l[0] is l[1]) # => True\nl[0] += \"bar\"\nprint(l) # => ['foobar', 'foo']\nprint(l[0] is l[1]) # => False\n```\n\nHere the first two items in the list refer to the same value. However, when you assign a new value to the first element, you break the link between the original value and the element.\n"},"lessonMember":null,"courseMember":null,"course":{"start_lesson":{"exercise":null,"units":[{"id":9020,"name":"theory","url":"/courses/python-lists/lessons/about/theory_unit"}],"links":[],"ordered_units":[{"id":9020,"name":"theory","url":"/courses/python-lists/lessons/about/theory_unit"}],"id":3988,"slug":"about","state":"approved","name":"About the course","course_order":1,"goal":"Learning about the course, its structure, objectives, and goals","self_study":null,"theory_video_provider":null,"theory_video_uid":null,"theory":"Programming becomes interesting when you can work with sets of elements.\n\nThere are just a few examples where they appear:\n\n* Paginated data output on the website\n* Calculate the order total based on the price of each item\n* Displaying a list of friends, messages, movies, and the like\n* Processing a set of DOM nodes (HTML, frontend development)\n\nEvery list we encounter in a real or virtual world is, from a programmer's point of view, a collection of items. Python uses **lists**, a data structure that allows you to work with the set as a single entity:\n\n```python\n// Defining a friends list\nfriends = ['petya', 'vasya', 'ivan']\n```\n\nUnlike primitive data types, lists can change in Python, both the contents and the size of the list itself. It affects how we handle them, adding more power but also responsibility.\n\nWith lists, we can solve the problem in many different ways. Only some will be good, while the rest will be inefficient and difficult to debug and analyze.\n\nIt is why we devote an entire course to lists, not just a few lessons.\n\nThis course covers many cases where programmers commonly use lists. The knowledge gained in this course will be the foundation for all future learning.\n\nThe main topics of this course are\n\n* Operations on lists\n* Working with lists in loops\n* Working with nested lists using nested loops\n* Sorting lists\n* Working with strings through lists\n\nIn addition to lists, we'll also cover algorithms and data structures in this course. We will discuss the concept of algorithmic complexity and learn how to implement some basic algorithms, which will help in job interviews. Knowledge of these topics is essential to writing effective code.\n\n## How to prepare for this course\n\nBefore learning about lists, you need to master the basic syntax of the programming language:\n\n* [Python Basics](https://hexlet.io/courses/python-basics)\n\nFor the correct sequence of courses, see the [Python Developer](https://hexlet.io/programs/python).\n"},"id":359,"slug":"python-lists","challenges_count":0,"name":"Python: Lists","allow_indexing":true,"state":"approved","course_state":"finished","pricing_type":"paid","description":"In this course, you will comprehend the structure of list data. You will learn more about slices, iterators, and lazy calculations. As a result, you will learn how to manipulate data with lists and work even with infinite collections. The knowledge from this course helps programmers solve algorithmic problems and process data efficiently. 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__m__-_R_rdub_"><style data-mantine-styles="inline">.__m__-_R_6qrdub_{margin-top:0rem;padding-inline:var(--mantine-spacing-xs);width:100%;}@media(min-width: 48em){.__m__-_R_6qrdub_{margin-top:var(--mantine-spacing-xl);width:80%;}}@media(min-width: 62em){.__m__-_R_6qrdub_{padding-inline:var(--mantine-spacing-xl);}}</style><div style="margin-inline:auto;max-width:var(--mantine-breakpoint-xl)" class="__m__-_R_6qrdub_"><div style="color:var(--mantine-color-dimmed)" class="m_4451eb3a mantine-Center-root" data-inline="true"><div style="--ti-size:var(--ti-size-xs);--ti-bg:transparent;--ti-color:var(--mantine-color-indigo-light-color);--ti-bd:calc(0.0625rem * var(--mantine-scale)) solid transparent;margin-inline-end:calc(0.125rem * var(--mantine-scale));color:inherit" class="m_7341320d mantine-ThemeIcon-root" data-variant="transparent" data-size="xs"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="tabler-icon tabler-icon-lock "><path d="M5 13a2 2 0 0 1 2 -2h10a2 2 0 0 1 2 2v6a2 2 0 0 1 -2 2h-10a2 2 0 0 1 -2 -2v-6"></path><path d="M11 16a1 1 0 1 0 2 0a1 1 0 0 0 -2 0"></path><path d="M8 11v-4a4 4 0 1 1 8 0v4"></path></svg></div><p style="font-size:var(--mantine-font-size-sm)" class="mantine-focus-auto m_b6d8b162 mantine-Text-root">Python: Lists</p></div><h1 style="--title-fw:var(--mantine-h1-font-weight);--title-lh:var(--mantine-h1-line-height);--title-fz:var(--mantine-h1-font-size);margin-bottom:var(--mantine-spacing-xl)" class="m_8a5d1357 mantine-Title-root" data-order="1">Theory: References and variability</h1><script type="application/ld+json">{"@context":"https://schema.org","@type":"LearningResource","name":"References and variability","inLanguage":"en","isPartOf":{"@type":"LearningResource","name":"Python: Lists"},"isAccessibleForFree":"False","hasPart":{"@type":"WebPageElement","isAccessibleForFree":"False","cssSelector":".paywalled"}}</script><div class=""><div style="--alert-color:var(--mantine-color-indigo-light-color);margin-bottom:var(--mantine-spacing-lg);font-size:var(--mantine-font-size-lg)" class="m_66836ed3 mantine-Alert-root" id="mantine-_R_remqrdub_" role="alert" aria-describedby="mantine-_R_remqrdub_-body" aria-labelledby="mantine-_R_remqrdub_-title"><div class="m_a5d60502 mantine-Alert-wrapper"><div class="m_667f2a6a mantine-Alert-icon"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="tabler-icon tabler-icon-rocket "><path d="M4 13a8 8 0 0 1 7 7a6 6 0 0 0 3 -5a9 9 0 0 0 6 -8a3 3 0 0 0 -3 -3a9 9 0 0 0 -8 6a6 6 0 0 0 -5 3"></path><path d="M7 14a6 6 0 0 0 -3 6a6 6 0 0 0 6 -3"></path><path d="M14 9a1 1 0 1 0 2 0a1 1 0 1 0 -2 0"></path></svg></div><div class="m_667c2793 mantine-Alert-body"><div class="m_6a03f287 mantine-Alert-title"><span id="mantine-_R_remqrdub_-title" class="m_698f4f23 mantine-Alert-label">Full access to materials</span></div><div id="mantine-_R_remqrdub_-body" class="m_7fa78076 mantine-Alert-message"><div style="--group-gap:var(--mantine-spacing-md);--group-align:center;--group-justify:space-between;--group-wrap:wrap" class="m_4081bf90 mantine-Group-root"><p class="mantine-focus-auto m_b6d8b162 mantine-Text-root">Sign up and get access to this and dozens of other courses</p><a style="--button-height:var(--button-height-xs);--button-padding-x:var(--button-padding-x-xs);--button-fz:var(--mantine-font-size-xs);--button-bg:linear-gradient(45deg, var(--mantine-color-blue-filled) 0%, var(--mantine-color-cyan-filled) 100%);--button-hover:linear-gradient(45deg, var(--mantine-color-blue-filled) 0%, var(--mantine-color-cyan-filled) 100%);--button-color:var(--mantine-color-white);--button-bd:none" class="mantine-focus-auto mantine-active m_77c9d27d mantine-Button-root m_87cf2631 mantine-UnstyledButton-root" data-variant="gradient" data-size="xs" href="/u/new"><span class="m_80f1301b mantine-Button-inner"><span class="m_811560b9 mantine-Button-label">Sign up</span></span></a></div></div></div></div></div><div class="paywalled m_d08caa0 mantine-Typography-root"><p>In the last lesson, we introduced the concept of references and mentioned that everything is always passed by reference in Python. Let us experiment with a list as our first known mutable object.</p>
<p>But first, we need to learn about tools for our experiments: the <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">id</code> function and the <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">is</code> operator.</p>
<h2 id="heading-2-1">The <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">id</code> and <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">is</code> methods</h2>
<p>If you refer to the function description (<code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">help(id)</code>), the documentation will tell you:</p>
<div style="margin-bottom:var(--mantine-spacing-lg)" class="m_e597c321 mantine-CodeHighlight-codeHighlight" dir="ltr"><div class="m_be7e9c9c mantine-CodeHighlight-controls"><button style="--ai-bg:transparent;--ai-hover:transparent;--ai-color:inherit;--ai-bd:none" class="mantine-focus-auto mantine-active m_d498bab7 mantine-CodeHighlight-control m_8d3f4000 mantine-ActionIcon-root m_87cf2631 mantine-UnstyledButton-root" data-variant="none" type="button" aria-label="Copy code"><span class="m_8d3afb97 mantine-ActionIcon-icon"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" stroke-width="2" stroke="currentColor" fill="none" stroke-linecap="round" stroke-linejoin="round"><path stroke="none" d="M0 0h24v24H0z" fill="none"></path><path d="M8 8m0 2a2 2 0 0 1 2 -2h8a2 2 0 0 1 2 2v8a2 2 0 0 1 -2 2h-8a2 2 0 0 1 -2 -2z"></path><path d="M16 8v-2a2 2 0 0 0 -2 -2h-8a2 2 0 0 0 -2 2v8a2 2 0 0 0 2 2h2"></path></svg></span></button></div><div style="--scrollarea-scrollbar-size:calc(0.25rem * var(--mantine-scale));--sa-corner-width:0px;--sa-corner-height:0px" class="m_f744fd40 mantine-CodeHighlight-scrollarea m_d57069b5 mantine-ScrollArea-root" dir="ltr"><div style="overflow-x:hidden;overflow-y:hidden;overscroll-behavior-inline:none" class="m_c0783ff9 mantine-ScrollArea-viewport" data-scrollbars="xy"><div class="m_b1336c6 mantine-ScrollArea-content"><pre class="m_2c47c4fd mantine-CodeHighlight-pre" style="padding:0"><code class="m_5caae6d3 mantine-CodeHighlight-code">id(obj, /)
Return the identity of an object.
It is guaranteed to be unique among simultaneously existing objects.</code></pre></div></div></div><button class="mantine-focus-auto m_c9378bc2 mantine-CodeHighlight-showCodeButton m_87cf2631 mantine-UnstyledButton-root" data-hidden="true" type="button">Expand code</button></div>
<p>The <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">id</code> function returns a unique identifier of an object passed to it as an argument and by reference.</p>
<p><strong>The identifier</strong> is an ordinary number. But each object has a unique identifier.</p>
<p>It means that any two objects will always have different identifiers. Python does not preserve identifiers from one run to the next, so the object-identifier relationship is unbreakable within one run.</p>
<p>That is why identifiers help keep track of object references we pass between different code sections.</p>
<p>The object identifier will be the same regardless of what reference we use to access the object:</p>
<div style="margin-bottom:var(--mantine-spacing-lg)" class="m_e597c321 mantine-CodeHighlight-codeHighlight" dir="ltr"><div class="m_be7e9c9c mantine-CodeHighlight-controls"><button style="--ai-bg:transparent;--ai-hover:transparent;--ai-color:inherit;--ai-bd:none" class="mantine-focus-auto mantine-active m_d498bab7 mantine-CodeHighlight-control m_8d3f4000 mantine-ActionIcon-root m_87cf2631 mantine-UnstyledButton-root" data-variant="none" type="button" aria-label="Copy code"><span class="m_8d3afb97 mantine-ActionIcon-icon"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" stroke-width="2" stroke="currentColor" fill="none" stroke-linecap="round" stroke-linejoin="round"><path stroke="none" d="M0 0h24v24H0z" fill="none"></path><path d="M8 8m0 2a2 2 0 0 1 2 -2h8a2 2 0 0 1 2 2v8a2 2 0 0 1 -2 2h-8a2 2 0 0 1 -2 -2z"></path><path d="M16 8v-2a2 2 0 0 0 -2 -2h-8a2 2 0 0 0 -2 2v8a2 2 0 0 0 2 2h2"></path></svg></span></button></div><div style="--scrollarea-scrollbar-size:calc(0.25rem * var(--mantine-scale));--sa-corner-width:0px;--sa-corner-height:0px" class="m_f744fd40 mantine-CodeHighlight-scrollarea m_d57069b5 mantine-ScrollArea-root" dir="ltr"><div style="overflow-x:hidden;overflow-y:hidden;overscroll-behavior-inline:none" class="m_c0783ff9 mantine-ScrollArea-viewport" data-scrollbars="xy"><div class="m_b1336c6 mantine-ScrollArea-content"><pre class="m_2c47c4fd mantine-CodeHighlight-pre" style="padding:0"><code class="m_5caae6d3 mantine-CodeHighlight-code">a = "some string"
b = a
id(a) # 139739990935280
id(b) # 139739990935280
print(a is b) # => True</code></pre></div></div></div><button class="mantine-focus-auto m_c9378bc2 mantine-CodeHighlight-showCodeButton m_87cf2631 mantine-UnstyledButton-root" data-hidden="true" type="button">Expand code</button></div>
<p>When we assign a value of one variable to another, we create a new named reference to the original value. Therefore <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">id(a)</code> and <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">id(b)</code> return the same result.</p>
<p>The <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">is</code> operator checks if the identifiers of its operands are equal. In this example, both variables refer to the same object, so checking <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">a is b</code> gives <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">True</code>.</p>
<p>Checking for equality of identifiers is very quick. And it is convenient to use when we deal with so-called <strong>single objects</strong>.</p>
<p>The most famous Python singles are:</p>
<ul>
<li><code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">True</code></li>
<li><code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">False</code></li>
<li><code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">None</code></li>
</ul>
<p>So the <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">None</code> check is usually written like this:</p>
<div style="margin-bottom:var(--mantine-spacing-lg)" class="m_e597c321 mantine-CodeHighlight-codeHighlight" dir="ltr"><div class="m_be7e9c9c mantine-CodeHighlight-controls"><button style="--ai-bg:transparent;--ai-hover:transparent;--ai-color:inherit;--ai-bd:none" class="mantine-focus-auto mantine-active m_d498bab7 mantine-CodeHighlight-control m_8d3f4000 mantine-ActionIcon-root m_87cf2631 mantine-UnstyledButton-root" data-variant="none" type="button" aria-label="Copy code"><span class="m_8d3afb97 mantine-ActionIcon-icon"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" stroke-width="2" stroke="currentColor" fill="none" stroke-linecap="round" stroke-linejoin="round"><path stroke="none" d="M0 0h24v24H0z" fill="none"></path><path d="M8 8m0 2a2 2 0 0 1 2 -2h8a2 2 0 0 1 2 2v8a2 2 0 0 1 -2 2h-8a2 2 0 0 1 -2 -2z"></path><path d="M16 8v-2a2 2 0 0 0 -2 -2h-8a2 2 0 0 0 -2 2v8a2 2 0 0 0 2 2h2"></path></svg></span></button></div><div style="--scrollarea-scrollbar-size:calc(0.25rem * var(--mantine-scale));--sa-corner-width:0px;--sa-corner-height:0px" class="m_f744fd40 mantine-CodeHighlight-scrollarea m_d57069b5 mantine-ScrollArea-root" dir="ltr"><div style="overflow-x:hidden;overflow-y:hidden;overscroll-behavior-inline:none" class="m_c0783ff9 mantine-ScrollArea-viewport" data-scrollbars="xy"><div class="m_b1336c6 mantine-ScrollArea-content"><pre class="m_2c47c4fd mantine-CodeHighlight-pre" style="padding:0"><code class="m_5caae6d3 mantine-CodeHighlight-code">...
if foo is None:
...</code></pre></div></div></div><button class="mantine-focus-auto m_c9378bc2 mantine-CodeHighlight-showCodeButton m_87cf2631 mantine-UnstyledButton-root" data-hidden="true" type="button">Expand code</button></div>
<h2 id="heading-2-2">Lists, tuples, and references</h2>
<p>Check out this example:</p>
<div style="margin-bottom:var(--mantine-spacing-lg)" class="m_e597c321 mantine-CodeHighlight-codeHighlight" dir="ltr"><div class="m_be7e9c9c mantine-CodeHighlight-controls"><button style="--ai-bg:transparent;--ai-hover:transparent;--ai-color:inherit;--ai-bd:none" class="mantine-focus-auto mantine-active m_d498bab7 mantine-CodeHighlight-control m_8d3f4000 mantine-ActionIcon-root m_87cf2631 mantine-UnstyledButton-root" data-variant="none" type="button" aria-label="Copy code"><span class="m_8d3afb97 mantine-ActionIcon-icon"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" stroke-width="2" stroke="currentColor" fill="none" stroke-linecap="round" stroke-linejoin="round"><path stroke="none" d="M0 0h24v24H0z" fill="none"></path><path d="M8 8m0 2a2 2 0 0 1 2 -2h8a2 2 0 0 1 2 2v8a2 2 0 0 1 -2 2h-8a2 2 0 0 1 -2 -2z"></path><path d="M16 8v-2a2 2 0 0 0 -2 -2h-8a2 2 0 0 0 -2 2v8a2 2 0 0 0 2 2h2"></path></svg></span></button></div><div style="--scrollarea-scrollbar-size:calc(0.25rem * var(--mantine-scale));--sa-corner-width:0px;--sa-corner-height:0px" class="m_f744fd40 mantine-CodeHighlight-scrollarea m_d57069b5 mantine-ScrollArea-root" dir="ltr"><div style="overflow-x:hidden;overflow-y:hidden;overscroll-behavior-inline:none" class="m_c0783ff9 mantine-ScrollArea-viewport" data-scrollbars="xy"><div class="m_b1336c6 mantine-ScrollArea-content"><pre class="m_2c47c4fd mantine-CodeHighlight-pre" style="padding:0"><code class="m_5caae6d3 mantine-CodeHighlight-code">a = [1, 2, 3]
b = a
a.append(4)
print(b) # => [1, 2, 3, 4]</code></pre></div></div></div><button class="mantine-focus-auto m_c9378bc2 mantine-CodeHighlight-showCodeButton m_87cf2631 mantine-UnstyledButton-root" data-hidden="true" type="button">Expand code</button></div>
<p>Here we see that lists <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">a</code> and <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">b</code> have been changed. There are not two lists but two references to one list. We will continue:</p>
<div style="margin-bottom:var(--mantine-spacing-lg)" class="m_e597c321 mantine-CodeHighlight-codeHighlight" dir="ltr"><div class="m_be7e9c9c mantine-CodeHighlight-controls"><button style="--ai-bg:transparent;--ai-hover:transparent;--ai-color:inherit;--ai-bd:none" class="mantine-focus-auto mantine-active m_d498bab7 mantine-CodeHighlight-control m_8d3f4000 mantine-ActionIcon-root m_87cf2631 mantine-UnstyledButton-root" data-variant="none" type="button" aria-label="Copy code"><span class="m_8d3afb97 mantine-ActionIcon-icon"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" stroke-width="2" stroke="currentColor" fill="none" stroke-linecap="round" stroke-linejoin="round"><path stroke="none" d="M0 0h24v24H0z" fill="none"></path><path d="M8 8m0 2a2 2 0 0 1 2 -2h8a2 2 0 0 1 2 2v8a2 2 0 0 1 -2 2h-8a2 2 0 0 1 -2 -2z"></path><path d="M16 8v-2a2 2 0 0 0 -2 -2h-8a2 2 0 0 0 -2 2v8a2 2 0 0 0 2 2h2"></path></svg></span></button></div><div style="--scrollarea-scrollbar-size:calc(0.25rem * var(--mantine-scale));--sa-corner-width:0px;--sa-corner-height:0px" class="m_f744fd40 mantine-CodeHighlight-scrollarea m_d57069b5 mantine-ScrollArea-root" dir="ltr"><div style="overflow-x:hidden;overflow-y:hidden;overscroll-behavior-inline:none" class="m_c0783ff9 mantine-ScrollArea-viewport" data-scrollbars="xy"><div class="m_b1336c6 mantine-ScrollArea-content"><pre class="m_2c47c4fd mantine-CodeHighlight-pre" style="padding:0"><code class="m_5caae6d3 mantine-CodeHighlight-code">a = []
l = [a, a]
a.append(1)
print(l) # => [[1], [1]]</code></pre></div></div></div><button class="mantine-focus-auto m_c9378bc2 mantine-CodeHighlight-showCodeButton m_87cf2631 mantine-UnstyledButton-root" data-hidden="true" type="button">Expand code</button></div>
<p>As you may have guessed, the list stores two references to the same object, which is also mutable. It is the subtlety of working with the references. When we get them from somewhere, we cannot be sure that the object will not change over time without our involvement.</p>
<p>Remember when we said that a tuple cannot change? Let us look at this example:</p>
<div style="margin-bottom:var(--mantine-spacing-lg)" class="m_e597c321 mantine-CodeHighlight-codeHighlight" dir="ltr"><div class="m_be7e9c9c mantine-CodeHighlight-controls"><button style="--ai-bg:transparent;--ai-hover:transparent;--ai-color:inherit;--ai-bd:none" class="mantine-focus-auto mantine-active m_d498bab7 mantine-CodeHighlight-control m_8d3f4000 mantine-ActionIcon-root m_87cf2631 mantine-UnstyledButton-root" data-variant="none" type="button" aria-label="Copy code"><span class="m_8d3afb97 mantine-ActionIcon-icon"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" stroke-width="2" stroke="currentColor" fill="none" stroke-linecap="round" stroke-linejoin="round"><path stroke="none" d="M0 0h24v24H0z" fill="none"></path><path d="M8 8m0 2a2 2 0 0 1 2 -2h8a2 2 0 0 1 2 2v8a2 2 0 0 1 -2 2h-8a2 2 0 0 1 -2 -2z"></path><path d="M16 8v-2a2 2 0 0 0 -2 -2h-8a2 2 0 0 0 -2 2v8a2 2 0 0 0 2 2h2"></path></svg></span></button></div><div style="--scrollarea-scrollbar-size:calc(0.25rem * var(--mantine-scale));--sa-corner-width:0px;--sa-corner-height:0px" class="m_f744fd40 mantine-CodeHighlight-scrollarea m_d57069b5 mantine-ScrollArea-root" dir="ltr"><div style="overflow-x:hidden;overflow-y:hidden;overscroll-behavior-inline:none" class="m_c0783ff9 mantine-ScrollArea-viewport" data-scrollbars="xy"><div class="m_b1336c6 mantine-ScrollArea-content"><pre class="m_2c47c4fd mantine-CodeHighlight-pre" style="padding:0"><code class="m_5caae6d3 mantine-CodeHighlight-code">a = []
pair = (a, a)
pair[0].append(1)
pair[1].append(2)
print(pair) # => ([1, 2], [1, 2])</code></pre></div></div></div><button class="mantine-focus-auto m_c9378bc2 mantine-CodeHighlight-showCodeButton m_87cf2631 mantine-UnstyledButton-root" data-hidden="true" type="button">Expand code</button></div>
<p>As you can see, the value in the tuple has changed. It happened because the tuple contents are <strong>references to values</strong>. These references cannot change, but the objects connected to them may well change.</p>
<p>Let us observe lists and tuples created using the special syntax: multiplication of a list or tuple by a number.</p>
<p>If we multiply a list or tuple by <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">n</code>, we get a new collection of the corresponding type.</p>
<p>It consists of <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">n</code> repetitions of elements of the original collection. Here are a few examples:</p>
<div style="margin-bottom:var(--mantine-spacing-lg)" class="m_e597c321 mantine-CodeHighlight-codeHighlight" dir="ltr"><div class="m_be7e9c9c mantine-CodeHighlight-controls"><button style="--ai-bg:transparent;--ai-hover:transparent;--ai-color:inherit;--ai-bd:none" class="mantine-focus-auto mantine-active m_d498bab7 mantine-CodeHighlight-control m_8d3f4000 mantine-ActionIcon-root m_87cf2631 mantine-UnstyledButton-root" data-variant="none" type="button" aria-label="Copy code"><span class="m_8d3afb97 mantine-ActionIcon-icon"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" stroke-width="2" stroke="currentColor" fill="none" stroke-linecap="round" stroke-linejoin="round"><path stroke="none" d="M0 0h24v24H0z" fill="none"></path><path d="M8 8m0 2a2 2 0 0 1 2 -2h8a2 2 0 0 1 2 2v8a2 2 0 0 1 -2 2h-8a2 2 0 0 1 -2 -2z"></path><path d="M16 8v-2a2 2 0 0 0 -2 -2h-8a2 2 0 0 0 -2 2v8a2 2 0 0 0 2 2h2"></path></svg></span></button></div><div style="--scrollarea-scrollbar-size:calc(0.25rem * var(--mantine-scale));--sa-corner-width:0px;--sa-corner-height:0px" class="m_f744fd40 mantine-CodeHighlight-scrollarea m_d57069b5 mantine-ScrollArea-root" dir="ltr"><div style="overflow-x:hidden;overflow-y:hidden;overscroll-behavior-inline:none" class="m_c0783ff9 mantine-ScrollArea-viewport" data-scrollbars="xy"><div class="m_b1336c6 mantine-ScrollArea-content"><pre class="m_2c47c4fd mantine-CodeHighlight-pre" style="padding:0"><code class="m_5caae6d3 mantine-CodeHighlight-code">print([1, 2, 3] * 3) # => [1, 2, 3, 1, 2, 3, 1, 2, 3]
print(('foo', 'bar') * 2) # => ('foo', 'bar', 'foo', 'bar')
print([[]] * 5) # => [[], [], [], [], []]
print(((),) * 5) # => ((), (), (), (), ())</code></pre></div></div></div><button class="mantine-focus-auto m_c9378bc2 mantine-CodeHighlight-showCodeButton m_87cf2631 mantine-UnstyledButton-root" data-hidden="true" type="button">Expand code</button></div>
<p>Do not forget that collections are always collections of references. You can guess how these duplicated collections will behave when the items being modified change. Take a look:</p>
<div style="margin-bottom:var(--mantine-spacing-lg)" class="m_e597c321 mantine-CodeHighlight-codeHighlight" dir="ltr"><div class="m_be7e9c9c mantine-CodeHighlight-controls"><button style="--ai-bg:transparent;--ai-hover:transparent;--ai-color:inherit;--ai-bd:none" class="mantine-focus-auto mantine-active m_d498bab7 mantine-CodeHighlight-control m_8d3f4000 mantine-ActionIcon-root m_87cf2631 mantine-UnstyledButton-root" data-variant="none" type="button" aria-label="Copy code"><span class="m_8d3afb97 mantine-ActionIcon-icon"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" stroke-width="2" stroke="currentColor" fill="none" stroke-linecap="round" stroke-linejoin="round"><path stroke="none" d="M0 0h24v24H0z" fill="none"></path><path d="M8 8m0 2a2 2 0 0 1 2 -2h8a2 2 0 0 1 2 2v8a2 2 0 0 1 -2 2h-8a2 2 0 0 1 -2 -2z"></path><path d="M16 8v-2a2 2 0 0 0 -2 -2h-8a2 2 0 0 0 -2 2v8a2 2 0 0 0 2 2h2"></path></svg></span></button></div><div style="--scrollarea-scrollbar-size:calc(0.25rem * var(--mantine-scale));--sa-corner-width:0px;--sa-corner-height:0px" class="m_f744fd40 mantine-CodeHighlight-scrollarea m_d57069b5 mantine-ScrollArea-root" dir="ltr"><div style="overflow-x:hidden;overflow-y:hidden;overscroll-behavior-inline:none" class="m_c0783ff9 mantine-ScrollArea-viewport" data-scrollbars="xy"><div class="m_b1336c6 mantine-ScrollArea-content"><pre class="m_2c47c4fd mantine-CodeHighlight-pre" style="padding:0"><code class="m_5caae6d3 mantine-CodeHighlight-code">t = ([], [], []) * 3
print(t) # => ([], [], [], [], [], [], [], [], [])
t[0].append(42)
t[1].append(0)
print(t) # => ([42], [0], [], [42], [0], [], [42], [0], [])</code></pre></div></div></div><button class="mantine-focus-auto m_c9378bc2 mantine-CodeHighlight-showCodeButton m_87cf2631 mantine-UnstyledButton-root" data-hidden="true" type="button">Expand code</button></div>
<h2 id="heading-2-3">References and assignments</h2>
<p>We saw that you can add more than one reference to a single object to a list. And that variables are the same as references, just named.</p>
<p>But what happens to variables and list items when you assign them? Let us have a look:</p>
<div style="margin-bottom:var(--mantine-spacing-lg)" class="m_e597c321 mantine-CodeHighlight-codeHighlight" dir="ltr"><div class="m_be7e9c9c mantine-CodeHighlight-controls"><button style="--ai-bg:transparent;--ai-hover:transparent;--ai-color:inherit;--ai-bd:none" class="mantine-focus-auto mantine-active m_d498bab7 mantine-CodeHighlight-control m_8d3f4000 mantine-ActionIcon-root m_87cf2631 mantine-UnstyledButton-root" data-variant="none" type="button" aria-label="Copy code"><span class="m_8d3afb97 mantine-ActionIcon-icon"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" stroke-width="2" stroke="currentColor" fill="none" stroke-linecap="round" stroke-linejoin="round"><path stroke="none" d="M0 0h24v24H0z" fill="none"></path><path d="M8 8m0 2a2 2 0 0 1 2 -2h8a2 2 0 0 1 2 2v8a2 2 0 0 1 -2 2h-8a2 2 0 0 1 -2 -2z"></path><path d="M16 8v-2a2 2 0 0 0 -2 -2h-8a2 2 0 0 0 -2 2v8a2 2 0 0 0 2 2h2"></path></svg></span></button></div><div style="--scrollarea-scrollbar-size:calc(0.25rem * var(--mantine-scale));--sa-corner-width:0px;--sa-corner-height:0px" class="m_f744fd40 mantine-CodeHighlight-scrollarea m_d57069b5 mantine-ScrollArea-root" dir="ltr"><div style="overflow-x:hidden;overflow-y:hidden;overscroll-behavior-inline:none" class="m_c0783ff9 mantine-ScrollArea-viewport" data-scrollbars="xy"><div class="m_b1336c6 mantine-ScrollArea-content"><pre class="m_2c47c4fd mantine-CodeHighlight-pre" style="padding:0"><code class="m_5caae6d3 mantine-CodeHighlight-code">a = "foo"
id(a) # 139739990954536
a += "bar"
print(a) # => 'foobar'
id(a) # 139739952783688</code></pre></div></div></div><button class="mantine-focus-auto m_c9378bc2 mantine-CodeHighlight-showCodeButton m_87cf2631 mantine-UnstyledButton-root" data-hidden="true" type="button">Expand code</button></div>
<p>This example shows that the variable name is not strictly related to the reference to the value.</p>
<p>Assigning a variable (<code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">+=</code> is a type of assignment) can change one reference to another. This property is also characteristic of list items:</p>
<div style="margin-bottom:var(--mantine-spacing-lg)" class="m_e597c321 mantine-CodeHighlight-codeHighlight" dir="ltr"><div class="m_be7e9c9c mantine-CodeHighlight-controls"><button style="--ai-bg:transparent;--ai-hover:transparent;--ai-color:inherit;--ai-bd:none" class="mantine-focus-auto mantine-active m_d498bab7 mantine-CodeHighlight-control m_8d3f4000 mantine-ActionIcon-root m_87cf2631 mantine-UnstyledButton-root" data-variant="none" type="button" aria-label="Copy code"><span class="m_8d3afb97 mantine-ActionIcon-icon"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" stroke-width="2" stroke="currentColor" fill="none" stroke-linecap="round" stroke-linejoin="round"><path stroke="none" d="M0 0h24v24H0z" fill="none"></path><path d="M8 8m0 2a2 2 0 0 1 2 -2h8a2 2 0 0 1 2 2v8a2 2 0 0 1 -2 2h-8a2 2 0 0 1 -2 -2z"></path><path d="M16 8v-2a2 2 0 0 0 -2 -2h-8a2 2 0 0 0 -2 2v8a2 2 0 0 0 2 2h2"></path></svg></span></button></div><div style="--scrollarea-scrollbar-size:calc(0.25rem * var(--mantine-scale));--sa-corner-width:0px;--sa-corner-height:0px" class="m_f744fd40 mantine-CodeHighlight-scrollarea m_d57069b5 mantine-ScrollArea-root" dir="ltr"><div style="overflow-x:hidden;overflow-y:hidden;overscroll-behavior-inline:none" class="m_c0783ff9 mantine-ScrollArea-viewport" data-scrollbars="xy"><div class="m_b1336c6 mantine-ScrollArea-content"><pre class="m_2c47c4fd mantine-CodeHighlight-pre" style="padding:0"><code class="m_5caae6d3 mantine-CodeHighlight-code">a = "foo"
l = [a, a]
print(l[0] is l[1]) # => True
l[0] += "bar"
print(l) # => ['foobar', 'foo']
print(l[0] is l[1]) # => False</code></pre></div></div></div><button class="mantine-focus-auto m_c9378bc2 mantine-CodeHighlight-showCodeButton m_87cf2631 mantine-UnstyledButton-root" data-hidden="true" type="button">Expand code</button></div>
<p>Here the first two items in the list refer to the same value. 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