Computer Science Algorithms and Data Structures

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Questions and Answers

What is the factorial of 4?

  • 12
  • 16
  • 24 (correct)
  • 20

Which type of recursion involves a function calling itself twice in each execution?

  • Linear Recursion
  • Mutual Recursion
  • Nested Recursion
  • Binary Recursion (correct)

Which of the following is an example of a non-primitive data structure?

  • Float
  • Integer
  • Array
  • List (correct)

What is the main purpose of merge sort?

<p>To sort data using a divide-and-conquer strategy (A)</p> Signup and view all the answers

Which notation places operators after their operands?

<p>Postfix Notation (C)</p> Signup and view all the answers

What is the primary purpose of loops in programming?

<p>To repeat a sequence of instructions (B)</p> Signup and view all the answers

What type of control flow statement is an if-else statement classified as?

<p>Branching statement (D)</p> Signup and view all the answers

Which structure follows a First In, First Out (FIFO) order?

<p>Queue (B)</p> Signup and view all the answers

Which of the following best describes a triangular number?

<p>The sum of the first n positive integers (D)</p> Signup and view all the answers

What is required when inserting into an array in the worst-case scenario?

<p>Shifting elements (D)</p> Signup and view all the answers

What is the time complexity of searching in an unbalanced Binary Search Tree (BST) in the worst case?

<p>O(n) (B)</p> Signup and view all the answers

What is the time complexity of MergeSort in the worst case?

<p>O(n log n) (C)</p> Signup and view all the answers

What does the operator Logical OR do?

<p>It checks if at least one operand is true (A)</p> Signup and view all the answers

Which method resolves hash collisions by checking the next available slot?

<p>Linear Probing (A)</p> Signup and view all the answers

What traversal method visits nodes in ascending order in a Binary Search Tree?

<p>In-order traversal (B)</p> Signup and view all the answers

What does Dijkstra's Algorithm find in a graph?

<p>The shortest path in a weighted graph (A)</p> Signup and view all the answers

Flashcards

Stack

A linear data structure that follows the Last In, First Out (LIFO) principle, meaning the last element added is the first one removed.

Linear Probing

A method of resolving hash collisions in hash tables, by checking the next available slot if a collision occurs.

Breadth-First Search (BFS)

The algorithm that finds the shortest path in an unweighted graph, by exploring all nodes at the same level before going deeper.

Binary Search

A process that involves repeatedly dividing the problem space in half to find a target value, making it an efficient search algorithm with logarithmic time complexity.

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O(n) Time Complexity

The time complexity of an algorithm that grows proportionally to the input size, meaning the time it takes to complete increases linearly with the number of elements.

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O(log n) Time Complexity

The time complexity of an algorithm that grows logarithmically with the input size, meaning the time it takes to complete increases slowly with the input size.

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Triangular Numbers

A special arrangement of numbers that represents the sum of consecutive integers, forming a triangular pattern.

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Binary Tree

A data structure used to organize elements in a hierarchical tree-like structure, where each node can have at most two children.

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Recursion

A method where a function calls itself, often used to solve smaller instances of a problem.

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Factorial

The product of all positive integers from 1 to a given number (e.g., 5! = 5 * 4 * 3 * 2 * 1).

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Anagrams

A word formed by rearranging the letters of another word (e.g., "stop" and "pots").

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Tower of Hanoi

A classic puzzle involving three pegs and disks of different sizes, where you move the entire stack to the last peg.

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Array

A data structure that stores elements of the same type in a fixed-size sequential block of memory.

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Postfix Notation

A mathematical notation where operators come after operands (e.g., 3 4 +).

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Data Structure

Refers to how data is organized and stored in memory.

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Abstract Data Type

A model for data types where the implementation is abstracted from the user (separates logical view from physical implementation).

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Study Notes

Data Structures and Algorithms

  • Loops: Used to repeat a sequence of instructions.
  • Stacks: Linear data structure, elements added/removed from the top (LIFO).
  • FIFO: (First In, First Out) - First element added is first removed (queues)
  • Redo Feature: Redo operation in text editors acts like a stack (not all stacks have this feature).
  • Logarithmic Time Complexity (O(log n)): Binary search halves the problem space with each step.
  • Logical OR: Checks if at least one operand is true.
  • Incrementing a Variable: "i++" is shorthand for increasing "i" by 1.
  • Constant Time Complexity(O(1)): Inserting at the beginning of a linked list.
  • Hash Tables: Near-constant time access to elements using a hash function.
  • Binary Trees: Often use linked structures, efficient data organization.

Stacks

  • Strict LIFO Order (Last In, First Out): Stacks don't allow arbitrary insertions.
  • XOR Operator: XOR between True and False is True

Binary Search Trees (BSTs)

  • O(n) Time Complexity (in worst case): Worst-case insertion or search time in an unbalanced BST is linear (when the tree is unbalanced).

Searching and Sorting Algorithms

  • Ascending Order Traversal: In-order traversal of a BST.
  • MergeSort: Best worst-case time complexity of O(n log n).
  • QuickSort: Average-case time complexity of O(n log n).
  • Linear Probing: Resolves hash collisions by checking the next available slot.
  • Double the Size: Hash tables resize to maintain performance upon reaching the threshold.

Graph Algorithms

  • Breadth-First Search (BFS): Guarantees shortest path in unweighted graphs.
  • Dijkstra's Algorithm: Finds shortest paths in weighted graphs.
  • Depth-First Search (DFS): Doesn't guarantee shortest path; explores nodes deeply.

Other Concepts

  • Expressions: Combine operands and operators.
  • Triangular Numbers: Sum of first 'n' integers.
  • Recursion: A function that calls itself.
  • Factorials: Product of integers from 1 to 'n'.
  • Anagrams: Words formed by rearranging letters.
  • Tower of Hanoi: Classic puzzle; moving disks to pegs.
  • Linear/Binary Recursion: Recursion types involving different call structures.
  • Mutual/Nested Recursion: Complex function calling behavior.
  • Primitive/Non-primitive Data Structures: Different classifications.
  • Arrays: Static data structures with sequential storage for elements of the same type.
  • Data Structures: How data is organized in memory.

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