An associative array is an abstract data type used to store key-value pairs. It often has other names, such as "dictionary" or "map" It corresponds to different data types in different languages. In JavaScript it's an object, in other languages, it's...
- Ruby — Hash
- Lua — Table
- Python — Dictionary
- Elixir/Java — Map
What is it for? Associative arrays are extremely popular in applied programming. Their use makes it convenient to represent compound data containing many different parameters. In fact, all the previous lessons on objects in JavaScript were about how to use objects as associative arrays.
An associative array, unlike a regular one (usually called an indexed array because its values are ordered by indexes), cannot be put into memory "as is". It has no indexes to determine the order, nor does it have an easy way to get to the values. A special data structure called a hash table is often used to implement associative arrays. It allows you to organize the data in an associative array in a convenient way to store it. The hash table applies two things to do this, an indexed array, and a function that hashes the keys. Note that a hash table is not just a way to place data in memory, it involves logic.
Below, we'll discuss more about how associative arrays are arranged internally. This information is essential for developers who want to really understand what they are doing. It removes the "magic" from what is going on inside the language and gives an understanding of the price one has to pay for objects to be useful.
So, this is what roughly happens when we execute the code:
Hashing
Any operation inside a hash table starts with somehow converting the key into an index of a regular array. To get an index from a key, you need to perform two actions; find a hash (hash a key) and reduce it to an index (for example, using the remainder of a division).
Hashing is an operation that converts any input data into a string (rarely a number) of fixed length. The function that implements the conversion algorithm is called a "hash function", and the result is called a "hash" or "hash sum". The best known are CRC32, MD5, and SHA (that has many varieties).
We often encounter hashing in development. For example, if we look at a commit id in git, e.g.,0481e0692e2501192d67d7da506c6e70ba41e913 , it's actually nothing more than a hash resulting from hashing commit data.
Once the hash is obtained, it can be converted into an array index, for example, by obtaining the remainder of division:
Behind the scenes
Consider the process of adding a new value to an associative array (remember, in JavaScript it is represented by the Object data type). A programmer writes:
Such a simple line, at first glance, triggers a whole process. Below is an abridged description of it:
Why such a strange structure for storage? Why is there a key in there? The answer to this question will be below, when we talk about collisions.
Now let's read the value:
Collisions
Any string (of any length and content) can be a key in an associative array. In other words, the set of all possible keys is infinite. In turn, the result of a hash function is a fixed-length string, which means that the set of all output values is finite.
It follows that not all input data will have a unique hash. At some point, there may be duplicates (when you get the same hash for different values). Such a situation is commonly known as a collision. There are several ways to resolve collisions, and each corresponds to a different type of hash table.
Collisions are not as rare as they may seem. You can see this by examining the birthday problem.
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If you can't solve it in a reasonable amount of time (a couple of hours), then don't waste your time, just check the teacher's solution.\n\n## map.js\n\nImplement and export a set of functions to work with a dictionary built on a hash table. Our implementation does not support collision resolution to keep it simple.\n\n_In fact, here we ask you to implement objects. For obvious reasons, you cannot use objects to make it. Imagine there are no objects in the language, and you want to add them._\n\n* `make()` creates new vocabulary\n* `set(map, key, value)` sets the key value in the dictionary. Works for both creation and modification. The function returns `true` if it was possible to set the value. If a collision occurs, the function doesn't change the dictionary in any way and returns `false`\n* `get(map, key, defaultValue = null)` returns the value of the specified key. The `defaultValue` parameter is the value the function returns if the dictionary doesn't have a key (by default it's `null`). In case of a collision, the function also returns the default value\n\n`set()` and `get()` functions take the dictionary as the first parameter. 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If you can't solve it in a reasonable amount of time (a couple of hours), then don't waste your time, just check the teacher's solution.\n\n## map.js\n\nImplement and export a set of functions to work with a dictionary built on a hash table. Our implementation does not support collision resolution to keep it simple.\n\n_In fact, here we ask you to implement objects. For obvious reasons, you cannot use objects to make it. Imagine there are no objects in the language, and you want to add them._\n\n* `make()` creates new vocabulary\n* `set(map, key, value)` sets the key value in the dictionary. Works for both creation and modification. The function returns `true` if it was possible to set the value. If a collision occurs, the function doesn't change the dictionary in any way and returns `false`\n* `get(map, key, defaultValue = null)` returns the value of the specified key. 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It often has other names, such as \"dictionary\" or \"map\" It corresponds to different data types in different languages. In JavaScript it's an object, in other languages, it's...\n\n* Ruby — Hash\n* Lua — Table\n* Python — Dictionary\n* Elixir/Java — Map\n\nWhat is it for? Associative arrays are extremely popular in applied programming. Their use makes it convenient to represent compound data containing many different parameters. In fact, all the previous lessons on objects in JavaScript were about how to use objects as associative arrays.\n\nAn associative array, unlike a regular one (usually called an indexed array because its values are ordered by indexes), cannot be put into memory \"as is\". It has no indexes to determine the order, nor does it have an easy way to get to the values. A special data structure called a hash table is often used to implement associative arrays. It allows you to organize the data in an associative array in a convenient way to store it. The hash table applies two things to do this, an indexed array, and a function that hashes the keys. Note that a hash table is not just a way to place data in memory, it involves logic.\n\n_Below, we'll discuss more about how associative arrays are arranged internally. This information is essential for developers who want to really understand what they are doing. It removes the \"magic\" from what is going on inside the language and gives an understanding of the price one has to pay for objects to be useful._\n\nSo, this is what roughly happens when we execute the code:\n\n```javascript\nconst data = {};\ndata['key'] = 'value';\n```\n\n## Hashing\n\nAny operation inside a hash table starts with somehow converting the key into an index of a regular array. To get an index from a key, you need to perform two actions; find a hash (hash a key) and reduce it to an index (for example, using the remainder of a division).\n\nHashing is an operation that converts any input data into a string (rarely a number) of fixed length. The function that implements the conversion algorithm is called a \"hash function\", and the result is called a \"hash\" or \"hash sum\". The best known are CRC32, MD5, and SHA (that has many varieties).\n\n```javascript\n// JavaScript has no built-in support for the crc32 hashing algorithm (which is convenient for clarity)\n// Therefore, a third-party library is used\nimport crc32 from 'crc-32';\n\nconst data = 'Hello, world!'; // Any data we want to hash\n\nconst hash = crc32.str(data);\n\n// The hash will always be the same for the same data!\nconsole.log(hash); // => -337197338\n```\n\nWe often encounter hashing in development. For example, if we look at a commit id in git, e.g.,*0481e0692e2501192d67d7da506c6e70ba41e913* , it's actually nothing more than a hash resulting from hashing commit data.\n\nOnce the hash is obtained, it can be converted into an array index, for example, by obtaining the remainder of division:\n\n```javascript\n// This is done so that the indexes don't get too large\n// The bigger the array, the more memory it occupies\nconst index = Math.abs(hash) % 1000; // modularly\nconsole.log(index); // => 338\n```\n\n\n\n### Behind the scenes\n\nConsider the process of adding a new value to an associative array (remember, in JavaScript it is represented by the Object data type). A programmer writes:\n\n```javascript\nconst data = {};\ndata['key'] = 'value';\n```\n\nSuch a simple line, at first glance, triggers a whole process. Below is an abridged description of it:\n\n\n```javascript\n// shown in JavaScript for simplicity, although in reality all of this happens at a lower level\n\n// 1. Creating an associative array results in the initialization of an indexed array within the interpreter\nconst internal = [];\n// While assigning the value `data['key'] = 'value'`, the interpreter performs several actions:\n\n// 2. Hashes the key. The result of hashing is a number\nconst hash = crc32.str('key');\n// 3. The number obtained in the previous step is converted to an array index\nconst index = Math.abs(hash) % 1000;\n// Another array is written to the value of the internal indexed array, using the index found,\n// the first element of the index is the `'key'`, and the second value `'value'`\ninternal[index] = ['key', 'value'];\n```\n\nWhy such a strange structure for storage? Why is there a key in there? The answer to this question will be below, when we talk about collisions.\n\nNow let's read the value:\n\n```javascript\nconst data = {};\ndata['key'] = 'value';\nconsole.log(data['key']); // => \"value\"\n```\n\n```javascript\n// shown in JavaScript for simplicity, although in reality all of this happens at a lower level\n\n// 1. The key is hashed. The result of hashing is a number\nconst hash = crc32.str('key');\n// 2. The number obtained in the previous step is converted into an array index\nconst index = Math.abs(hash % 1000);\n\n// 3. If the index exists, it retrieves the array that was inside and returns it to the outside\nreturn internal[index]; // ['key', 'value']\n```\n\n## Collisions\n\nAny string (of any length and content) can be a key in an associative array. In other words, the set of all possible keys is infinite. In turn, the result of a hash function is a fixed-length string, which means that the set of all output values is finite.\n\nIt follows that not all input data will have a unique hash. At some point, there may be duplicates (when you get the same hash for different values). Such a situation is commonly known as a collision. There are several ways to resolve collisions, and each corresponds to a different type of hash table.\n\n```javascript\n// Example of a collision\n\n// Two different strings return the same hash!\n// As if there were two elements under one index in an array at once\ncrc32.str('aaaaa0.462031558722291'); // 1938556049\ncrc32.str('aaaaa0.0585754039730588'); // 1938556049\n\n```\n\nCollisions are not as rare as they may seem. 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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><strong>An associative</strong> array is an abstract data type used to store key-value pairs. It often has other names, such as "dictionary" or "map" It corresponds to different data types in different languages. In JavaScript it's an object, in other languages, it's...</p>
<ul>
<li>Ruby — Hash</li>
<li>Lua — Table</li>
<li>Python — Dictionary</li>
<li>Elixir/Java — Map</li>
</ul>
<p>What is it for? Associative arrays are extremely popular in applied programming. Their use makes it convenient to represent compound data containing many different parameters. In fact, all the previous lessons on objects in JavaScript were about how to use objects as associative arrays.</p>
<p>An associative array, unlike a regular one (usually called an indexed array because its values are ordered by indexes), cannot be put into memory "as is". It has no indexes to determine the order, nor does it have an easy way to get to the values. A special data structure called a hash table is often used to implement associative arrays. It allows you to organize the data in an associative array in a convenient way to store it. The hash table applies two things to do this, an indexed array, and a function that hashes the keys. Note that a hash table is not just a way to place data in memory, it involves logic.</p>
<p><em>Below, we'll discuss more about how associative arrays are arranged internally. This information is essential for developers who want to really understand what they are doing. It removes the "magic" from what is going on inside the language and gives an understanding of the price one has to pay for objects to be useful.</em></p>
<p>So, this is what roughly happens when we execute the code:</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">const data = {};
data['key'] = 'value';</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-2-1">Hashing</h2>
<p>Any operation inside a hash table starts with somehow converting the key into an index of a regular array. To get an index from a key, you need to perform two actions; find a hash (hash a key) and reduce it to an index (for example, using the remainder of a division).</p>
<p>Hashing is an operation that converts any input data into a string (rarely a number) of fixed length. The function that implements the conversion algorithm is called a "hash function", and the result is called a "hash" or "hash sum". The best known are CRC32, MD5, and SHA (that has many varieties).</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">// JavaScript has no built-in support for the crc32 hashing algorithm (which is convenient for clarity)
// Therefore, a third-party library is used
import crc32 from 'crc-32';
const data = 'Hello, world!'; // Any data we want to hash
const hash = crc32.str(data);
// The hash will always be the same for the same data!
console.log(hash); // => -337197338</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>We often encounter hashing in development. For example, if we look at a commit id in git, e.g.,<em>0481e0692e2501192d67d7da506c6e70ba41e913</em> , it's actually nothing more than a hash resulting from hashing commit data.</p>
<p>Once the hash is obtained, it can be converted into an array index, for example, by obtaining the remainder of division:</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">// This is done so that the indexes don't get too large
// The bigger the array, the more memory it occupies
const index = Math.abs(hash) % 1000; // modularly
console.log(index); // => 338</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><img style="--image-object-fit:contain;width:auto" class="m_9e117634 mantine-Image-root" src="/rails/active_storage/blobs/proxy/eyJfcmFpbHMiOnsiZGF0YSI6NTk1NSwicHVyIjoiYmxvYl9pZCJ9fQ==--bb53f538a6144a31f1050fd66f52a0ba27dd9a47/hash-table-function.jpg" alt="hashing" loading="lazy"/></p>
<h3 id="heading-3-2">Behind the scenes</h3>
<p>Consider the process of adding a new value to an associative array (remember, in JavaScript it is represented by the Object data type). A programmer writes:</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">const data = {};
data['key'] = 'value';</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>Such a simple line, at first glance, triggers a whole process. Below is an abridged description of it:</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">// shown in JavaScript for simplicity, although in reality all of this happens at a lower level
// 1. Creating an associative array results in the initialization of an indexed array within the interpreter
const internal = [];
// While assigning the value `data['key'] = 'value'`, the interpreter performs several actions:
// 2. Hashes the key. The result of hashing is a number
const hash = crc32.str('key');
// 3. The number obtained in the previous step is converted to an array index
const index = Math.abs(hash) % 1000;
// Another array is written to the value of the internal indexed array, using the index found,
// the first element of the index is the `'key'`, and the second value `'value'`
internal[index] = ['key', 'value'];</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>Why such a strange structure for storage? Why is there a key in there? The answer to this question will be below, when we talk about collisions.</p>
<p>Now let's read the value:</p>
<div class="m_5cb1b9c8 mantine-CodeHighlightTabs-root"><div style="--sa-corner-width:0px;--sa-corner-height:0px" class="m_7b14120b mantine-CodeHighlightTabs-filesScrollarea m_d57069b5 mantine-ScrollArea-root" dir="ltr"><div style="overflow-x:hidden;overflow-y:hidden" class="m_c0783ff9 mantine-ScrollArea-viewport" data-scrollbars="xy"><div class="m_b1336c6 mantine-ScrollArea-content"><div class="m_38d99e51 mantine-CodeHighlightTabs-files"><button class="mantine-focus-auto m_5cac2e62 mantine-CodeHighlightTabs-file m_87cf2631 mantine-UnstyledButton-root" data-active="true" type="button"><span>javascript</span></button><button class="mantine-focus-auto m_5cac2e62 mantine-CodeHighlightTabs-file m_87cf2631 mantine-UnstyledButton-root" type="button"><span>javascript</span></button></div></div></div><div data-orientation="horizontal" class="m_c44ba933 mantine-ScrollArea-scrollbar" data-hidden="true" style="position:absolute;--sa-thumb-width:18px" data-mantine-scrollbar="true"></div><div class="m_c44ba933 mantine-ScrollArea-scrollbar" data-hidden="true" data-orientation="vertical" style="position:absolute;--sa-thumb-height:18px" data-mantine-scrollbar="true"></div></div><div style="margin-bottom:var(--mantine-spacing-lg)" class="m_e597c321 mantine-CodeHighlightTabs-codeHighlight" dir="ltr"><div class="m_be7e9c9c mantine-CodeHighlightTabs-controls" data-with-offset="true"><button style="--ai-bg:transparent;--ai-hover:transparent;--ai-color:inherit;--ai-bd:none" class="mantine-focus-auto mantine-active m_d498bab7 mantine-CodeHighlightTabs-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-CodeHighlightTabs-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-CodeHighlightTabs-pre" data-with-offset="true"><code class="m_5caae6d3 mantine-CodeHighlightTabs-code">const data = {};
data['key'] = 'value';
console.log(data['key']); // => "value"</code></pre></div></div></div><button class="mantine-focus-auto m_c9378bc2 mantine-CodeHighlightTabs-showCodeButton m_87cf2631 mantine-UnstyledButton-root" data-hidden="true" type="button">Expand code</button></div></div><h2 id="heading-2-3">Collisions</h2>
<p>Any string (of any length and content) can be a key in an associative array. In other words, the set of all possible keys is infinite. In turn, the result of a hash function is a fixed-length string, which means that the set of all output values is finite.</p>
<p>It follows that not all input data will have a unique hash. At some point, there may be duplicates (when you get the same hash for different values). Such a situation is commonly known as a collision. There are several ways to resolve collisions, and each corresponds to a different type of hash table.</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">// Example of a collision
// Two different strings return the same hash!
// As if there were two elements under one index in an array at once
crc32.str('aaaaa0.462031558722291'); // 1938556049
crc32.str('aaaaa0.0585754039730588'); // 1938556049</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>Collisions are not as rare as they may seem. 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