Modular Arithmetic Basics in DSA Python - Build from Scratch

Modular Arithmetic Basics

📖 Scenario: Imagine you are organizing a game where players take turns in a circle. You want to find out which player's turn it is after a certain number of moves. This is a classic use of modular arithmetic.

🎯 Goal: You will create a small program that uses modular arithmetic to find the current player's turn number after a given number of moves.

📋 What You'll Learn

Create a variable for the total number of players.

Create a variable for the number of moves made.

Calculate the current player's turn using modular arithmetic.

Print the current player's turn number.

💡 Why This Matters

🌍 Real World

Modular arithmetic is used in scheduling, cryptography, computer graphics, and anywhere cycles or repeating patterns occur.

💼 Career

Understanding modular arithmetic is important for software developers, especially in game development, security, and algorithm design.

1

Create variables for players and moves

Create a variable called total_players and set it to 5. Then create a variable called moves_made and set it to 12.

DSA Python

# Create variables total_players and moves_made with values 5 and 12
# Your code here

Hint

Use simple assignment to create the variables with the exact values.

2

Calculate current player's turn using modular arithmetic

Create a variable called current_turn that stores the result of moves_made % total_players. This will give the remainder when moves_made is divided by total_players.

DSA Python

total_players = 5
moves_made = 12
# Calculate current_turn using modular arithmetic
# Your code here

Hint

Use the modulus operator % to find the remainder.

3

Adjust current turn for zero remainder

Since player numbers start at 1, create an if statement that checks if current_turn is 0. If it is, set current_turn to total_players.

DSA Python

total_players = 5
moves_made = 12
current_turn = moves_made % total_players
# Adjust current_turn if it is 0
# Your code here

Hint

Use an if statement to check and update current_turn.

4

Print the current player's turn

Print the value of current_turn using print(current_turn).

DSA Python

total_players = 5
moves_made = 12
current_turn = moves_made % total_players
if current_turn == 0:
    current_turn = total_players
# Print current_turn
# Your code here

Hint

Use the print function to display the current player's turn.