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Questions and Answers
Which algorithm uses a variable-size decrease approach?
Which algorithm uses a variable-size decrease approach?
In the context of decrease-and-conquer, what does step 3 involve?
In the context of decrease-and-conquer, what does step 3 involve?
Which algorithm involves a decrease by a constant factor?
Which algorithm involves a decrease by a constant factor?
What is characteristic of uninformed search strategies?
What is characteristic of uninformed search strategies?
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In the context of decrease-and-conquer, what is another term for inductive or incremental approach?
In the context of decrease-and-conquer, what is another term for inductive or incremental approach?
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Study Notes
Decrease and Conquer Algorithms
- Variable Size Decrease: The binary search algorithm uses a variable-size decrease approach. It halves the search space in each iteration, decreasing the problem size by a factor of 2.
Step 3 in Decrease and Conquer
- Step 3 in the decrease-and-conquer paradigm involves solving the smaller subproblems and combining the solutions to obtain the final solution for the original problem.
Decrease by a Constant Factor
- An algorithm that decreases by a constant factor is one where the size of the problem reduces by a fixed amount in each step. For example, the Euclidean Algorithm to find the Greatest Common Divisor (GCD) reduces the problem size by a constant factor.
Uninformed Search Strategies
- Uninformed search strategies are characterized by their lack of knowledge about the problem domain or the goal state. They rely only on the problem definition to guide their search, without any additional domain-specific information. Examples include breadth-first search and depth-first search.
Inductive or Incremental Approach
- Another term for the inductive or incremental approach in the context of decrease-and-conquer is constructive approach. This approach involves building the solution incrementally by adding new elements or modifying existing ones until the final solution is achieved.
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Description
Test your knowledge of decrease and conquer algorithms and tree search terminology, including breadth-first search and depth-first search. This quiz covers concepts from lecture 6, chapter 4, and previous year GATE papers in Information Technology.
