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

20.4.1 - Formulation of Valid Strings

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Learning

Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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

💡 Hint: Think about restrictions on placement.

Challenge 2 Hard

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

💡 Hint: Look into how states can be represented.

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Reference links

Supplementary resources to enhance your learning experience.