Practice Restrictions On Solution Counts (18.4.1) - Subsequence Existence
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Restrictions on Solution Counts

Practice - Restrictions on Solution Counts

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Learning

Practice Questions

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Question 1 Easy

Define a strictly increasing sequence.

💡 Hint: Think of a series of numbers written in ascending order.

Question 2 Easy

What is a subsequence?

💡 Hint: You can pick numbers from a list without following their order.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a strictly increasing sequence?

A sequence where terms decrease
A sequence where terms increase
A random sequence

💡 Hint: Focus on the direction of the numbers.

Question 2

True or False: A subsequence must consist of consecutive elements of the original sequence.

True
False

💡 Hint: Subsequences maintain original order, but elements can be non-consecutive.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a set of 15 distinct integers, demonstrate a subsequence of at least length 5 that is increasing or decreasing. Provide a strategic approach and reasoning.

💡 Hint: Formulate pairs of subsequences and check overlaps.

Challenge 2 Hard

Analyze a sequence of floating-point numbers and determine a subsequence length of at least 6 that is strictly increasing. What is your reasoning?

💡 Hint: Consider each pair and track where the values trend up.

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