Practice - Definition of Bad Sequence
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Practice Questions
Test your understanding with targeted questions
Define a bad sequence in your own words.
💡 Hint: Consider sequences of 1s and -1s.
Provide an example of a valid sequence.
💡 Hint: Check partial sums while scanning.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What defines a bad sequence in terms of its sum?
💡 Hint: Remember the definition!
True or False: The set A contains all sequences of equal numbers of 1s and -1s without restrictions.
💡 Hint: Think about how we define these sets.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
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.
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.
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