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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a bad sequence in your own words.
💡 Hint: Consider sequences of 1s and -1s.
Question 2
Easy
Provide an example of a valid sequence.
💡 Hint: Check partial sums while scanning.
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 defines a bad sequence in terms of its sum?
- All partial sums are positive
- At least one partial sum is negative
- All sums are zero
💡 Hint: Remember the definition!
Question 2
True or False: The set A contains all sequences of equal numbers of 1s and -1s without restrictions.
- True
- False
💡 Hint: Think about how we define these sets.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a bad sequence with 4 pairs of 1s and -1s, demonstrate step-by-step the reflection method and find valid sequences.
💡 Hint: Mark the negative point clearly before reflecting.
Question 2
Explore a relationship between sets A and B using numerical examples for n=3 and calculate corresponding Catalan numbers.
💡 Hint: Use combinations formulas and think about counts.
Challenge and get performance evaluation