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Interactive Games
Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is a bad binary string?
💡 Hint: Think about the definition of bad strings.
Question 2
Easy
How many binary strings are there of length 1?
💡 Hint: Count the combinations.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What defines a bad string?
- Contains '000'
- Starts with 1
- Ends with 0
💡 Hint: Consider the definition.
Question 2
Is g(n) defined as the count of good strings?
- True
- False
💡 Hint: Recall the definitions.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that f(n) is equal to 2^n - g(n) for n > 2.
💡 Hint: Start with base cases like n=3 and n=4.
Question 2
Calculate the number of bad strings for n=5.
💡 Hint: Remember to sum prior g(n) values and recalculate 2^5.
Challenge and get performance evaluation