Algorithm Analysis and Core Data Structures Explained

Fundamentals of Algorithms and Performance Analysis

An algorithm is a step-by-step set of instructions designed to perform a specific task or solve a problem efficiently. It acts as a blueprint for programming logic. Performance analysis of an algorithm focuses on determining its efficiency in terms of time and space. Time complexity measures how execution time grows with input size, while space complexity checks how much memory is required. These are often analyzed using asymptotic notations like

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Core Database Concepts: ER Models, Normalization, and SQL

Entity Relationship Model (ERD)

  • Connectivities: Describes how entities are related (e.g., 1:1, 1:M, M:N).

    • Example: A Student (1) can enroll in many Courses (M), so the relationship is 1:M.
  • Cardinalities: Indicates the number of instances of one entity related to another.

    • Example: A Professor can teach up to 3 Courses (cardinality: 0..3).
  • Strong Relationship: A relationship between two independent, strong entities.

    • Example: Student and Course are strong entities, each with its own primary key.
  • Weak Relationship:

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Essential Java Programming Concepts: Syntax, Objects, and Arrays

Java Fundamentals and Core Concepts

Method Signature Syntax

A typical Java method is structured as follows:

accessModifier staticOrInstance returnType methodName(parameterType parameterName, ...) {
    // method body
}

API (Application Programming Interface)

An API is a collection of predefined classes, interfaces, and methods, often referred to as libraries.

Key Features of Java

Java is a versatile and powerful language known for the following characteristics:

  • Simple: It is designed to be easy to learn.
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Python Fundamentals: Essential Code Examples and Concepts

Unit 2: Basic Python Operations and Control Flow

1. Check if a Number is Even or Odd

n = int(input("Enter a number: "))
print("Even" if n % 2 == 0 else "Odd")

2. Determine if a Number is Positive, Negative, or Zero

n = float(input("Enter a number: "))
if n > 0:
    print("Positive")
elif n < 0:
    print("Negative")
else:
    print("Zero")

3. Generate Fibonacci Series of Length ‘n’

n = int(input("Enter the length: "))
a, b = 0, 1
for _ in range(n):
    print(a, end=" ")
    a, b = b, a + b

4. Generate

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Mastering Business Processes, Competitive Strategy, and Advanced Excel Data Analysis

Module 1: Business Process and Competitive Advantage (20%-30%)

Understanding Business Processes (BP)

  1. Definition of a Business Process

    A sequence of activities that a company performs to achieve a specific goal. These activities can be automated or manual, and they are organized in a specific order to ensure efficiency.
    Example: Order fulfillment process.

  2. Business Process Management (BPM)

    BPM is a technique for optimizing processes that businesses employ to perform tasks, serve customers, and generate

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Essential Recursive Algorithms and Backtracking Techniques

1) Factorial of n

Question


Compute n!.

Explain question


Return the product 1 * 2 * ... * n. The problem is naturally defined in terms of a smaller n.

Approach (in-depth)


If n is 0 (or 1) the answer is 1. Otherwise the factorial of n = n * factorial(n-1). The recursion reduces n by 1 on every call until the base case. No branching — just a single recursive call. This is linear recursion.

Recurrence relation


fact(n) = n * fact(n-1), with fact(0)=1.

Pseudocode

function fact(n):
    if n == 0: return 1return
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