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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32
}
int main() {
// instantiation
std::vector<std::string> empty;
std::vector<std::string> teams{"Knicks", "Mets", "Giants"};
// literal notation (similar to instantiation)
std::vector<std::string> otherTeams{"Nets", "Patriots", "Jets"};
// size
std::cout << "Size: " << otherTeams.size() << std::endl;
// access
std::cout << "Access: " << teams[0] << std::endl;
// sort
std::sort(teams.begin(), teams.end());
std::cout << "Sorted:";
for (const auto &team : teams) {
std::cout << " " << team;
}
std::cout << std::endl;
// search
OUTPUT
Results will appear here.