3 Questions
What are the three key elements needed to solve a search problem?
Initial state, Operations, and Goal.
Describe the goal of the eight puzzle problem mentioned in the text.
The goal is to place the numbers on the tiles in such ordering that it matches the final configuration using the empty space.
Explain the method used to find the number of possible ways to select a committee of 5 members from 10 people.
The number of possible ways is calculated using the combination formula, $10C5 = 252$.
Study Notes
Search Problems
- Search problems involve finding a solution by searching through a set of objects.
- These problems can be represented using graphs, which consist of nodes and links between nodes.
- A node can be connected to multiple nodes.
Components of Search Problems
- Initial State: The starting point of the search.
- Operations: The moves that transition from one node to another.
- Goal: The target or end condition of the search.
Examples of Search Problems
Route Finding Problem
- Given a map of cities and routes, find a route from one city to another.
- Represented as a graph, where cities are nodes and routes are links between nodes.
Eight Puzzle Problem
- A 3x3 board with tiles numbered 1-8 and an empty space.
- Goal is to arrange tiles in a specific order using the empty space.
- Limited to four types of moves: up, down, left, and right.
Initial and Final Configurations of Eight Puzzle
-
Initial Configuration:
- 1 2 1
- 5 6
- 7 8 4
-
Final Configuration:
- 1 2 3
- 5 8 6
- 7 4
Committee Selection Problem
- Given 10 people, find the number of ways to select a committee of 5 members.
- Solution: Total possible events = 10C5 = 252
Learn about search problems, their components, and examples. Understand how to represent search problems using graphs and find solutions.
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