Practice - Counting Valid Paths
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Practice Questions
Test your understanding with targeted questions
What is a full binary tree?
💡 Hint: Think about how many children each node should have.
How do you calculate the number of diagonals in a triangle?
💡 Hint: Consider what diagonal connects non-adjacent vertices.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What characterizes a full binary tree?
💡 Hint: Consider what makes a tree 'full'.
A valid path in a grid can involve which moves?
💡 Hint: Think about the movement constraints.
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Challenge Problems
Push your limits with advanced challenges
How many distinct full binary trees can you create with 5 leaves? Hint: Relate to Catalan numbers.
💡 Hint: Remember to look up the Catalan number for n = 4.
If there are 10 sides in a convex polygon, how many diagonals exist?
💡 Hint: Calculate each step carefully and remember the formula!
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Reference links
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