20 Questions
Which approach in dynamic programming uses recursion and stores the results of solved subproblems in an array or hash map?
Top-down approach with memoization
Which approach in dynamic programming uses an n-dimensional array to store the results of solved subproblems and does not use recursion?
Bottom-up approach with tabulation
Which approach in dynamic programming can be optimized by using a one-dimensional array instead of a two-dimensional array?
Bottom-up approach with tabulation
Which problem can be solved using the bottom-up dynamic programming approach?
Finding the optimal way to handle a given workload by using servers with different workload handling capacities
Which problem can be solved using the top-down dynamic programming approach?
Solving a sudoku puzzle by filling the empty cells
Which problem does not match the dynamic programming pattern?
Maximizing your heist without robbing neighboring houses
Which characteristic must a problem exhibit to be solved using dynamic programming?
Overlapping subproblems and optimal substructure
Which approach in dynamic programming uses recursion and a one-dimensional array to store the results of solved subproblems?
Top-down approach with memoization
Which approach in dynamic programming does not use recursion and uses an n-dimensional array to store the results of solved subproblems?
Bottom-up approach with tabulation
Which problem can be solved using the top-down dynamic programming approach?
Solving a sudoku puzzle by filling the empty cells
Which approach is commonly used to solve computational problems with an optimal substructure?
Dynamic Programming
What is the main characteristic of problems that can be solved using the divide-and-conquer approach recursively?
They have overlapping subproblems
Which problem is given as an example of a recursive computation with overlapping subproblems?
Fibonacci sequence
What is the recursive solution to the palindrome problem?
Backtracking
What is the time complexity of the recursive computation of the nth Fibonacci number?
O(2^n)
Which pattern can be used to optimize the computation of Fibonacci numbers by avoiding redundant evaluations?
Dynamic Programming
What is the main advantage of using dynamic programming to solve problems with overlapping subproblems?
It avoids redundant computations
In the computation of the nth Fibonacci number, which subproblems are evaluated multiple times without dynamic programming?
Subproblems with even indices
What is the key idea behind the dynamic programming pattern?
Breaking down a problem into smaller subproblems
What is the recursion tree for the computation of the nth Fibonacci number with n = 5?
fib(5) fib(4) fib(3) fib(2) fib(1) fib(0) fib(2) fib(1) fib(0) fib(0)
Test your knowledge on Dynamic Programming with this quiz that covers the introduction, real-world applications, and problem-solving strategies of this powerful algorithmic pattern. Explore examples and determine if your problem matches the Dynamic Programming pattern.
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