Practice Complexity Measurement - 7.5.2 | 7. Lecture - 55: Modular Arithmetic | Discrete Mathematics - Vol 3
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Complexity Measurement

7.5.2 - Complexity Measurement

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is 7 mod 3?

💡 Hint: Divide 7 by 3 and find the remainder.

Question 2 Easy

Is -4 mod 5 equal to 1?

💡 Hint: Calculate the remainder when adjusting, it should still be in the range.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is 5 mod 2?

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2
3

💡 Hint: Think about the remainder when performing division.

Question 2

Congruence means two numbers have the same what when divided by a modulus?

💡 Hint: Recall the definition of congruence.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Demonstrate the inefficiency of the naive modular exponentiation approach compared to the square and multiply method, with specific examples.

💡 Hint: Calculate the intermediate powers and how they accumulate.

Challenge 2 Hard

Analyze a scenario where determining congruences can simplify a large addition and provide the calculation.

💡 Hint: Use smaller numbers by reducing before performing addition.

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