Practice Formulation of Valid Strings - 20.4.1 | 20. Catalan Numbers | Discrete Mathematics - Vol 2
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define a valid string in the context of parentheses.

💡 Hint: Think about matching pairs.

Question 2

Easy

Provide two examples of valid strings.

💡 Hint: Focus on balanced pairs.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the definition of a valid parenthesis string?

  • A string that is completely empty
  • A string where each '(' matches a ')'
  • A string with more ')' than '('

💡 Hint: Think about what makes a string valid!

Question 2

True or False: The formula C(n) = ∑C(k)C(n-k-1) is a recurrence relation for Catalan numbers.

  • True
  • False

💡 Hint: Recall the formation of the recurrence.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Create and describe a new problem related to valid parenthesis without violating the matching condition.

💡 Hint: Think about restrictions on placement.

Question 2

Propose an algorithm to count valid strings of n parenthesis using dynamic programming.

💡 Hint: Look into how states can be represented.

Challenge and get performance evaluation