An Executable Data Structures Cheat Sheet for Interviews
This cheat sheet uses Big O notation to express time complexity.
- For a reminder on Big O, see Understanding Big O Notation and Algorithmic Complexity.
- For a quick summary of complexity for common data structure operations, see the Big-O Algorithm Complexity Cheat Sheet.
Array

- Quick summary: a collection that stores elements in order and looks them up by index.
- Also known as: fixed array, static array.
- Important facts:
- Stores elements sequentially, one after another.
- Each array element has an index. Zero-based indexing is used most often: the first index is 0, the second is 1, and so on.
- Is created with a fixed size. Increasing or decreasing the size of an array is impossible.
- Can be one-dimensional (linear) or multi-dimensional.
- Allocates contiguous memory space for all its elements.
- Pros:
- Ensures constant time access by index.
- Constant time append (insertion at the end of an array).
- Cons:
- Fixed size that can't be changed.
- Search, insertion and deletion are
O(n)
. After insertion or deletion, all subsequent elements are moved one index further. - Can be memory intensive when capacity is underused.
- Notable uses:
- The String data type that represents text is implemented in programming languages as an array that consists of a sequence of characters plus a terminating character.
- Time complexity (worst case):
- Access:
O(1)
- Search:
O(n)
- Insertion:
O(n)
(append:O(1)
) - Deletion:
O(n)
- Access:
- See also:
Arrays are a primitive building block in most languages, here's how to initialize them:
1int[] arr = {1, 2, 3};
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}
using System;
using System.Collections.Generic;
public class MainClass
{
public static void Main(string[] args)
{
// instantiation
List<string> empty = new List<string>();
List<string> teams = new List<string>{"Knicks", "Mets", "Giants"};
// literal notation (similar to instantiation)
List<string> otherTeams = new List<string>{"Nets", "Patriots", "Jets"};
// size
Console.WriteLine("Size: " + otherTeams.Count);
// access
Console.WriteLine("Access: " + teams[0]);
// sort
teams.Sort();
Console.WriteLine("Sorted: " + string.Join(", ", teams));
// search
bool containsKnicks = teams.Contains("Knicks");
Console.WriteLine("Searched: " + (containsKnicks ? "Knicks" : "Not Found"));
OUTPUT
Results will appear here.