Logic Building Problems Lecture Notes

Introduction

• Logic building is essential for solving problems using clear, step-by-step methods.
• It is fundamental in programming, allowing programs to think and reason.

Tips for Improving Logic Building

1. Understand the Problem:

   • Always read and understand the problem statement thoroughly.

2. Generate Examples:

   • Create additional input and output cases for better understanding.

3. Draw Observations:

   • Identify patterns and observations from the examples.

4. Start with Basic Solutions:

   • Think of a simple solution first and then find ways to optimize it.

Problem Categories

Basic Problems

• Check Even or Odd
• Multiplication Table
• Sum of Naturals
• Sum of Squares of Naturals
• Swap Two Numbers
• Closest Number
• Dice Problem
• Nth Term of AP

Easy Problems

• Sum of Digits
• Reverse Digits
• Prime Testing
• Check Power
• Distance between Two Points
• Valid Triangle
• Overlapping Rectangles
• Factorial of a Number
• Pair Cube Count
• GCD or HCF
• LCM of Two Numbers
• Perfect Number
• Add Two Fractions
• Fizz Buzz
• Day of the Week
• Nth Fibonacci Number
• Decimal to Binary
• N-th term of 1, 3, 6, 10, 15, 21
• Armstrong Number
• Palindrome Number
• Digit Root

Medium Problems

• Square Root
• 3 Divisors
• Divisibility by 4, 11, 13
• K-th Digit in a^b
• Fraction to Recurring Decimal
• Recurring Sequence in a Fraction
• Compute nPr and nCr
• Pascal's Triangle
• All Factors or Divisors
• Prime Factorization & Largest Prime Factor
• Modular Exponentiation
• nth Catalan Number
• Binomial Coefficient
• Power Set
• Next Permutation

Hard Problems

• Sieve of Eratosthenes
• Clock Angle Problem
• Tower of Hanoi
• Rat and Poisoned Bottles Problem
• 8 Puzzle Problem
• Determinant of a Matrix
• Euler's Totient Function
• Josephus Problem

Recommended Links

• Top Logic Building Interview Problems
• Practice Logic Building Problems
• Pattern Printing Problems
• Mathematical Algorithms

Conclusion

• Logic building is crucial for effective problem-solving in programming.
• Practice and pattern recognition are key to mastering it.