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Benefits of hash tables
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Drawbacks of hash tables
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3
Implementation of hash tables
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Hashing function
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5
Collision resolution
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6
Here’s what else to consider
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Hash tables are one of the most widely used data structures in algorithms. They offer fast and efficient access to data by using a key-value mapping. But what makes hash tables so suitable for algorithm design? In this article, you will learn about the benefits and drawbacks of hash tables, how to implement them in different languages, and how to choose the right hashing function and collision resolution strategy for your algorithm.
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1 Benefits of hash tables
Hash tables have several advantages that make them appealing for algorithm design. First, they have an average time complexity of O(1) for insertion, deletion, and lookup operations. This means that you can store and retrieve data in constant time, regardless of the size of the data set. Second, they are flexible and dynamic. You can use any data type as a key or a value, and you can resize the hash table as needed. Third, they are versatile and adaptable. You can use hash tables to implement other data structures, such as sets, maps, caches, or counters. You can also use hash tables to solve various algorithmic problems, such as finding duplicates, anagrams, substrings, or pairs.
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2 Drawbacks of hash tables
Hash tables are not perfect, however. They also have some limitations and challenges that you need to be aware of. First, they have a worst-case time complexity of O(n) for insertion, deletion, and lookup operations. This happens when the hash table is full or has many collisions, which means that multiple keys map to the same index. Second, they have a space complexity of O(n). This means that you need to allocate enough memory for the hash table, which can be wasteful if the hash table is sparse or underutilized. Third, they have no inherent order or structure. You cannot access the data in a sorted or sequential manner, nor can you perform range queries or comparisons on the keys or values.
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3 Implementation of hash tables
Hash tables are implemented differently in different programming languages. Some languages, such as Python, Java, or Ruby, provide built-in hash table data types, such as dictionaries, hash maps, or hashes. These data types have predefined methods and properties that make it easy to create and manipulate hash tables. Other languages, such as C or C++, do not have native hash table data types, but you can use libraries or frameworks that offer hash table functionality, such as STL or Boost. Alternatively, you can implement your own hash table from scratch, using an array and a hashing function.
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4 Hashing function
A hashing function is a function that takes a key as an input and returns an index as an output. This index is used to store and retrieve the value associated with the key in the hash table, and for optimal performance, it should be consistent, uniform, and fast. Consistency means that it should always return the same index for the same key, uniformity means that it should distribute the keys evenly across the array, and speed means that it should compute the index in constant time without performing complex calculations. There are different types of hashing functions available, such as division, multiplication, folding, or universal hashing; which one to choose depends on the type and range of the keys, the size and capacity of the array, and the expected performance and security of the hash table.
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5 Collision resolution
Collisions occur when two or more keys map to the same index in a hash table, and they can reduce the efficiency and reliability of the hash table. To handle collisions and resolve conflicts, there are two main methods: open addressing and chaining. Open addressing looks for another empty or deleted slot in the array to store the key-value pair, such as using linear probing, quadratic probing, or double hashing. It saves space but increases the load factor. Chaining stores the key-value pair in a linked list or another data structure that is attached to the index, reducing the load factor but requiring more space. The choice of collision resolution method depends on the expected load factor, the frequency and type of operations, and the trade-off between space and time complexity.
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6 Here’s what else to consider
This is a space to share examples, stories, or insights that don’t fit into any of the previous sections. What else would you like to add?
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