Practice - Constructing Sequence S'
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Practice Questions
Test your understanding with targeted questions
Define a bad sequence in the context of sequence S.
💡 Hint: Think of sequences that do not meet the criteria of non-negative sums.
What is the cardinality of set A?
💡 Hint: Remember this set includes all combinations of the 1s and -1s.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What describes a bad sequence?
💡 Hint: Think about what makes a sequence invalid.
True or False: The reflection method creates an injective mapping.
💡 Hint: Reflect on the one-to-one relationship established by this process.
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Challenge Problems
Push your limits with advanced challenges
Design a sequence of length 6 involving three 1s and three -1s. Show it's a bad sequence and apply the reflection method to construct S'. What results do you observe in the reconstruction?
💡 Hint: Make sure to track where your sums dip low.
Apply subtractive counting to establish a scenario problem with n=5. Create conditions to define valid versus invalid sequences, and derive overall conclusions from counts.
💡 Hint: Think of it like evaluating checks and balances within defined counting principles.
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