Practice - Subsequence Existence
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Practice Questions
Test your understanding with targeted questions
Define a subsequence.
💡 Hint: Think about maintaining the original order.
True or False: A subsequence must include all elements of the original sequence.
💡 Hint: Consider what it means to 'skip' elements.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is a subsequence?
💡 Hint: Think of it like picking items from a list.
True or False: Every sequence has multiple possible subsequences.
💡 Hint: Remember that we can skip elements to form new sequences.
1 more question available
Challenge Problems
Push your limits with advanced challenges
In a given sequence of 10 distinct heights of people, demonstrate the existence of either an increasing or decreasing subsequence of at least 5 heights.
💡 Hint: Utilize combinatorial reasoning to pair heights effectively.
Prove that if you add an element to a sequence already with a defined increasing subsequence, it can either enlarge that subsequence or create a new one.
💡 Hint: Consider where the new element would naturally fit within the existing sequence.
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