How will you represent a state in the system


Homework

• Refer to the 8-puzzle problem described below.

• Suppose we want to add some knowledge to your blind search design to speed it up.

1) What knowledge/information/heuristics will you add?? (I'm looking for a description of how you'll use outside knowledge of the problem to guide the search here.)

2) What kind of improvement do you expect to have with your heuristic? (Less states searched?? Better solution found?? Something else?)

3) How much improvement do you expect to have?? A lot? A little? Why?

Purpose

This homework is intended to help you learn to solve a problem with Blind Search.

The Problem

The "8-puzzle" (or "15-puzzle") is a "sliding tile" puzzle that you've probably seen one place or another.?Here's the Wikipedia article on it.
Basically, you're given a 3x3 (or 4x4) grid of tiles, with tiles holding the numbers 1-8 (or 1-15), and one cell empty.

Find the attachment for the initial and final states

A "move" is to move a tile above, below, to the left, or to the right of the blank into the empty space (which makes space previously holding the tile now empty).

Action Items

Suppose we want to develop an AI-based search system to solve the problem described above.? Answer the following questions about the design of the solution:

1) How will you represent a "state" in this system?

2) How will you represent an action in this system?? How does it generate a new state?

3) What is the (worst-case) branching factor for your design?

4) If we are using?uninformed?search to solve this, do you think Breadth-First Search or Depth-First Search will be better?? Why?? Is there anything you need to worry about?

Format your homework according to the following formatting requirements:

(1) The answer should be typed, double spaced, using Times New Roman font (size 12), with one-inch margins on all sides.

(2) The response also includes a cover page containing the title of the homework, the student's name, the course title, and the date. The cover page is not included in the required page length.

(3) Also include a reference page. The Citations and references should follow APA format. The reference page is not included in the required page length.

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