DAA - Backtracking Algorithm

What is a backtracking algorithm primarily used for?

• Finding the shortest path in a graph

• Problem-solving with multiple solutions

• Sorting a list of numbers

• Calculating factorials

What does the term 'backtracking' imply in the context of algorithms?

• To ignore previous solutions

• To optimize the current solution

• To return to a previous state and try other solutions

• To move forward without checking solutions

Which of the following is an application of backtracking algorithms?

• Calculating the sum of a list

• Performing binary search

• Solving the N Queen problem

• Finding the maximum value in an array

What is a State Space Tree?

• A tree representing all possible solutions of a problem

• A tree used for sorting data

• A tree that only contains leaf nodes

• A tree that represents a binary search

In the example provided, how many total arrangements are possible for 2 boys and 1 girl on 3 benches?

• 8

• 6

• 4

• 3

What approach does backtracking use to find solutions?

• Brute force

• Divide and conquer

• Dynamic programming

• Greedy algorithms

Which problem is NOT typically solved using backtracking?

• Maze solving

• Finding Hamiltonian Paths

• Sorting a list

• Knight's tour problem

What is the first step in the backtracking algorithm as described?

• Return false if not a solution

• Add the solution to the list

• Expand the current solution

• Check if the current solution is valid

Which of the following statements is true about backtracking?

• It guarantees an optimal solution

• It cannot handle multiple solutions

• It is a recursive approach

• It only works for linear problems

What is the main characteristic of the brute force approach in backtracking?

• It uses heuristics to find solutions

• It tries all possible solutions

• It is faster than other algorithms

• It avoids checking all possibilities