Practice - Achieving Disjoint Groups
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Practice Questions
Test your understanding with targeted questions
Define a subsequence?
💡 Hint: What does it mean to retain the order within a sequence?
Provide an example of a strictly increasing sequence.
💡 Hint: Think of a sequence where every number increases.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What defines a subsequence?
💡 Hint: Focus on how order is maintained in selections.
True or False: Every set of n+1 distinct numbers can form disjoint groups with the same sum.
💡 Hint: Consider how subsets could overlap.
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Challenge Problems
Push your limits with advanced challenges
Given a list of ten distinct real numbers, demonstrate how to find a strictly increasing or decreasing subsequence of length five.
💡 Hint: Look for numbers that maintain their order during selection.
Assume you have six distinct real numbers between 1 and 10, find pairs ensuring that shared values from any disjoint subsets yield the same sum.
💡 Hint: Focus on the combinations that lead to shared outcomes.
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Reference links
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